ON THE GENERALIZED ORDER OF DIRICHLET SERIES
By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1]...
Saved in:
| Published in | Acta mathematica scientia Vol. 35; no. 1; pp. 133 - 139 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
2015
School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China%School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(14)60146-6 |
Cover
| Abstract | By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1]. |
|---|---|
| AbstractList | By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1]. |
| Author | 霍颖莹 孔荫莹 |
| AuthorAffiliation | School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
| AuthorAffiliation_xml | – name: School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China%School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
| Author_xml | – sequence: 1 fullname: 霍颖莹 孔荫莹 |
| BookMark | eNqFkM9PwjAUxxuDiYD-CSaLJ0ictltXRjwYAwWWEEkGXrw0ZXvDmtlhO_zx31uYevDi5b2k-X7ee_10UEtXGhA6J_iKYMKulziIAn_IcNAjtM8wocxnR6hNooF7xvGghdq_kRPUsfYZOy5gtI0uF_feasa9Kb_n6d08eeRjb5GOeeotJt44SZPRbM5X3pKnCV-eouNClhbOvnsXPUz4ajTz54tpMrqb-xnFYe0DK9aUFTFg6boMJaUYojimecgikhV5HueuuJPoOnD35UM2iClQKEhBw5iGXdRv5r5LXUi9Ec_Vzmi3UdiP9_JjLSDAJMLu89hle012a6rXHdhavCibQVlKDdXOCsKGQRiRgatdFDXRzFTWGijE1qgXaT4FwWJvUhxMir0mQag4mBTMcTd_uEzVslaVro1U5b_0bUODM_amwAibKdAZ5MpAVou8Uv9OuPje_1TpzatyQn4OZyyMA-ag8AvCZpQT |
| CitedBy_id | crossref_primary_10_1155_2019_9191346 crossref_primary_10_1007_s10473_020_0418_9 |
| Cites_doi | 10.1016/S0252-9602(13)60134-4 10.1007/s10587-012-0074-x 10.1073/pnas.20.3.211 10.1007/BF01574830 10.1016/j.jmaa.2007.06.073 |
| ContentType | Journal Article |
| Copyright | 2015 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: 2015 Wuhan Institute of Physics and Mathematics – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.1016/S0252-9602(14)60146-6 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics Physics |
| DocumentTitleAlternate | ON THE GENERALIZED ORDER OF DIRICHLET SERIES |
| EISSN | 1572-9087 |
| EndPage | 139 |
| ExternalDocumentID | sxwlxb_e201501010 10_1016_S0252_9602_14_60146_6 S0252960214601466 663826252 |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: 11201083 – fundername: Guangdong Natural Science Foundation grantid: S2012010010376 – fundername: National Natural Science Foundation of China grantid: 11301140 – fundername: National Natural Science Foundation of China grantid: 11101096 – fundername: The research is supported by the National Natural Science Foundation of China; the National Natural Science Foundation of China; the National Natural Science Foundation of China; the Guangdong Natural Science Foundation funderid: (11101096); (11201083); (11301140); (S2012010010376) |
| GroupedDBID | --K --M -01 -0A -EM -SA -S~ .~1 0R~ 1B1 1~. 1~5 23M 2B. 2C. 2RA 4.4 406 457 4G. 5GY 5VR 5VS 5XA 5XB 5XL 7-5 71M 8P~ 92E 92I 92L 92M 92Q 93N 9D9 9DA AACTN AAEDT AAEDW AAFGU AAHNG AAIKJ AAKOC AALRI AAOAW AAQFI AATNV AAUYE AAXUO AAYFA ABAOU ABECU ABFGW ABFNM ABFTV ABKAS ABKCH ABMAC ABMQK ABTEG ABTKH ABTMW ABXDB ABXPI ABYKQ ACAOD ACAZW ACBMV ACBRV ACBYP ACDAQ ACGFS ACHSB ACIGE ACIPQ ACMLO ACOKC ACRLP ACTTH ACVWB ACWMK ACZOJ ADBBV ADEZE ADKNI ADMDM ADMUD ADOXG ADTPH ADURQ ADYFF AEBSH AEFTE AEJRE AEKER AENEX AESKC AESTI AEVTX AFKWA AFNRJ AFQWF AFUIB AGDGC AGGBP AGHFR AGJBK AGMZJ AGUBO AGYEJ AIAKS AIEXJ AIGVJ AIKHN AILAN AIMYW AITGF AITUG AJBFU AJDOV AJOXV AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS AMFUW AMKLP AMRAJ AMXSW AMYLF ARUGR AXJTR AXYYD BGNMA BKOJK BLXMC CAJEA CAJUS CCEZO CCVFK CHBEP CQIGP CS3 CSCUP CW9 DPUIP EBLON EBS EFJIC EFLBG EJD EO9 EP2 EP3 FA0 FDB FEDTE FIRID FNLPD FNPLU FYGXN GBLVA GJIRD HVGLF HZ~ IKXTQ IWAJR J1W JUIAU JZLTJ KOM KOV LLZTM M41 M4Y MHUIS MO0 N9A NPVJJ NQJWS NU0 O-L O9- OAUVE OZT P-8 P-9 P2P PC. PT4 Q-- Q-0 Q38 R-A REI RIG ROL RSV RT1 S.. SDC SDF SDG SDH SES SNE SNPRN SOHCF SOJ SPC SRMVM SSLCW SSW SSZ T5K T8Q TCJ TGP TSG U1F U1G U5A U5K UOJIU UTJUX VEKWB VFIZW ZMTXR ~G- ~L9 ~WA AGQEE FIGPU AACDK AAJBT AASML AATTM AAXKI AAYWO AAYXX ABAKF ABBRH ABDBE ABFSG ABJNI ABWVN ACDTI ACPIV ACRPL ACSTC ACVFH ADCNI ADNMO AEFQL AEIPS AEMSY AEUPX AEZWR AFBBN AFDZB AFHIU AFOHR AFPUW AFXIZ AGCQF AGRNS AHPBZ AHWEU AIGII AIGIU AIIUN AIXLP AKBMS AKRWK AKYEP ANKPU ATHPR AYFIA CITATION HG6 SJYHP SSH 7SC 7TB 8FD ACLOT EFKBS FR3 JQ2 KR7 L7M L~C L~D ~HD 4A8 PSX |
| ID | FETCH-LOGICAL-c403t-e6fb46f8e0ab46a3a440e5884d3651cfdd8dfdd0254b2908d96784e4ef1f43843 |
| IEDL.DBID | AIKHN |
| ISSN | 0252-9602 |
| IngestDate | Thu May 29 04:00:08 EDT 2025 Sun Sep 28 10:47:17 EDT 2025 Thu Apr 24 23:03:48 EDT 2025 Tue Jul 01 02:27:32 EDT 2025 Fri Feb 23 02:25:03 EST 2024 Wed Feb 14 10:34:54 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | maximum term 30D30 generalized order Dirichlet series 30D35 maximum modulus |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c403t-e6fb46f8e0ab46a3a440e5884d3651cfdd8dfdd0254b2908d96784e4ef1f43843 |
| Notes | Dirichlet series; generalized order; maximum modulus; maximum term 42-1227/O By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained, which briefly extends some results of paper [1]. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1692351792 |
| PQPubID | 23500 |
| PageCount | 7 |
| ParticipantIDs | wanfang_journals_sxwlxb_e201501010 proquest_miscellaneous_1692351792 crossref_primary_10_1016_S0252_9602_14_60146_6 crossref_citationtrail_10_1016_S0252_9602_14_60146_6 elsevier_sciencedirect_doi_10_1016_S0252_9602_14_60146_6 chongqing_primary_663826252 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2015 January 2015 2015-01-00 20150101 |
| PublicationDateYYYYMMDD | 2015-01-01 |
| PublicationDate_xml | – year: 2015 text: 2015 |
| PublicationDecade | 2010 |
| PublicationTitle | Acta mathematica scientia |
| PublicationTitleAlternate | Acta Mathematica Scientia |
| PublicationTitle_FL | Acta Mathematica Scientia |
| PublicationYear | 2015 |
| Publisher | Elsevier Ltd School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China%School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
| Publisher_xml | – name: Elsevier Ltd – name: School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China%School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
| References | Shang, Gao (bib10) 2009; 29B Jin, Sun (bib4) 2008; 32 Kong (bib6) 2009; 52 Knopp (bib12) 1951; 54 Shang, Gao (bib8) 2008; 339 Kong, Gan (bib1) 2010; 34 Jin, Deng, Sun (bib5) 2012; 62 Huo, Kong (bib11) 2014; 34B Jiarong (bib2) 1997 Valiron (bib3) 1934; 20 Kong, Huo (bib9) 2012; 33 Liang, Gao (bib7) 2010; 30B Liang (10.1016/S0252-9602(14)60146-6_bib7) 2010; 30B Huo (10.1016/S0252-9602(14)60146-6_bib11) 2014; 34B Shang (10.1016/S0252-9602(14)60146-6_bib8) 2008; 339 Kong (10.1016/S0252-9602(14)60146-6_bib9) 2012; 33 Knopp (10.1016/S0252-9602(14)60146-6_bib12) 1951; 54 Jin (10.1016/S0252-9602(14)60146-6_bib5) 2012; 62 Kong (10.1016/S0252-9602(14)60146-6_bib6) 2009; 52 Jiarong (10.1016/S0252-9602(14)60146-6_bib2) 1997 Valiron (10.1016/S0252-9602(14)60146-6_bib3) 1934; 20 Jin (10.1016/S0252-9602(14)60146-6_bib4) 2008; 32 Shang (10.1016/S0252-9602(14)60146-6_bib10) 2009; 29B Kong (10.1016/S0252-9602(14)60146-6_bib1) 2010; 34 |
| References_xml | – year: 1997 ident: bib2 publication-title: Dirichlet Seires and Random Dirichlet Series – volume: 20 start-page: 211 year: 1934 end-page: 215 ident: bib3 article-title: Entire functions and Borel's directions publication-title: Proc Nat Acad Sci – volume: 30B start-page: 1640 year: 2010 end-page: 1648 ident: bib7 article-title: Convergence and growth of multiple dirichlet series publication-title: Acta Mathematica Scientia – volume: 33 start-page: 323 year: 2012 end-page: 328 ident: bib9 article-title: The random Dirichlet series with slow growth publication-title: Chinese Annals of Mathematics (Ser A) – volume: 29B start-page: 83 year: 2009 end-page: 93 ident: bib10 article-title: The pits property of entire functions defined by Dirichlet series publication-title: Acta Mathematica Scientia – volume: 34B start-page: 175 year: 2014 end-page: 182 ident: bib11 article-title: On generalized orders and generalized types of Dirichlet series in the right half-plane publication-title: Acta Mathematica Scientia – volume: 34 start-page: 1 year: 2010 end-page: 11 ident: bib1 article-title: On orders and types of Dirichlet series of slow growth publication-title: Turk J Math – volume: 339 start-page: 853 year: 2008 end-page: 862 ident: bib8 article-title: Entire functions defined by Dirichlet series publication-title: J Math Anal Appl – volume: 32 start-page: 245 year: 2008 end-page: 254 ident: bib4 article-title: On the distribution of random Dirichlet series in the whole plane publication-title: Turk J Math – volume: 52 start-page: 1165 year: 2009 end-page: 1172 ident: bib6 article-title: On some publication-title: Acta Mathematica Sinica, Chinese Series – volume: 54 start-page: 291 year: 1951 end-page: 296 ident: bib12 article-title: Über de konvergenzaabscisse des Laplcace-Integrals publication-title: Math Z – volume: 62 start-page: 919 year: 2012 end-page: 936 ident: bib5 article-title: Julia Lines of General Random Dirichlet series publication-title: Czechoslavak Mathematical Journal – volume: 32 start-page: 245 year: 2008 ident: 10.1016/S0252-9602(14)60146-6_bib4 article-title: On the distribution of random Dirichlet series in the whole plane publication-title: Turk J Math – volume: 34B start-page: 175 issue: 1 year: 2014 ident: 10.1016/S0252-9602(14)60146-6_bib11 article-title: On generalized orders and generalized types of Dirichlet series in the right half-plane publication-title: Acta Mathematica Scientia doi: 10.1016/S0252-9602(13)60134-4 – volume: 62 start-page: 919 issue: 137 year: 2012 ident: 10.1016/S0252-9602(14)60146-6_bib5 article-title: Julia Lines of General Random Dirichlet series publication-title: Czechoslavak Mathematical Journal doi: 10.1007/s10587-012-0074-x – volume: 52 start-page: 1165 issue: 6 year: 2009 ident: 10.1016/S0252-9602(14)60146-6_bib6 article-title: On some q-orders and q-types of Dirichlet-Hadamard product function publication-title: Acta Mathematica Sinica, Chinese Series – volume: 29B start-page: 83 year: 2009 ident: 10.1016/S0252-9602(14)60146-6_bib10 article-title: The pits property of entire functions defined by Dirichlet series publication-title: Acta Mathematica Scientia – volume: 34 start-page: 1 year: 2010 ident: 10.1016/S0252-9602(14)60146-6_bib1 article-title: On orders and types of Dirichlet series of slow growth publication-title: Turk J Math – volume: 30B start-page: 1640 year: 2010 ident: 10.1016/S0252-9602(14)60146-6_bib7 article-title: Convergence and growth of multiple dirichlet series publication-title: Acta Mathematica Scientia – volume: 20 start-page: 211 year: 1934 ident: 10.1016/S0252-9602(14)60146-6_bib3 article-title: Entire functions and Borel's directions publication-title: Proc Nat Acad Sci doi: 10.1073/pnas.20.3.211 – volume: 54 start-page: 291 year: 1951 ident: 10.1016/S0252-9602(14)60146-6_bib12 article-title: Über de konvergenzaabscisse des Laplcace-Integrals publication-title: Math Z doi: 10.1007/BF01574830 – volume: 33 start-page: 323 issue: 3 year: 2012 ident: 10.1016/S0252-9602(14)60146-6_bib9 article-title: The random Dirichlet series with slow growth publication-title: Chinese Annals of Mathematics (Ser A) – year: 1997 ident: 10.1016/S0252-9602(14)60146-6_bib2 – volume: 339 start-page: 853 year: 2008 ident: 10.1016/S0252-9602(14)60146-6_bib8 article-title: Entire functions defined by Dirichlet series publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2007.06.073 |
| SSID | ssj0016264 |
| Score | 1.981512 |
| Snippet | By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and... |
| SourceID | wanfang proquest crossref elsevier chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 133 |
| SubjectTerms | 30D30 30D35 Dirichlet problem Dirichlet series Dirichlet级数 Entire functions generalized order Mathematical analysis maximum modulus maximum term 大模数 广义 整函数 |
| Title | ON THE GENERALIZED ORDER OF DIRICHLET SERIES |
| URI | http://lib.cqvip.com/qk/86464X/201501/663826252.html https://dx.doi.org/10.1016/S0252-9602(14)60146-6 https://www.proquest.com/docview/1692351792 https://d.wanfangdata.com.cn/periodical/sxwlxb-e201501010 |
| Volume | 35 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NS8MwFH_oRNCD3-L8oooHBbOlbVqz4xjKVNSDCt5CmibbYHRqJ4oH_3Zf2nTqQQQvLU37Hu17Sd4vTd4vAAe8RQ2lShLDdEQspTlJeCRJyJPAl1RhJbHZyFfXcfeeXTxED1PQqXJh7LJK1_eXfXrRW7uSprNm83EwaN5itA4Qf9udqS0DSjwNMwFGe16Dmfb5Zfd6MpmAmL1gkcLniRX4SuQplRSFhz47KvSQgmahP8p6Txg8fgtX3-Do7KvMjMx63-LS2RIsOEDptct3XoYpna3AogOXnmu6-QrMX00IWvFqtlj5qfJVOL7JPLzh9Ur-6cE7ShV8nN7IeGicgeqjaz1bU3W-Bvdnp3edLnFbKBDFaDgmOjYJiw3XVOJZhpIxqm1uahrGka9MmvIUDzYlPglalKctDF5MM218g45j4TrUslGmN8AzPpcG8UZAI8PSCHFNQlF9SltKBfHJSR22JlYTjyVVhkA8g-MXtHEdWGVHoRz7uN0EYyi-lpnhY8K6AocjonCFiOvQmIhVOv8Q4JWTxI96JDBE_CW6VzlVYBuzEycy06OXXPgxwmDLZYafse-8LVxbz0X-9jp8S4QO7M8jVE83__8OWzBn1ZT_eLahNn5-0TuIesbJLkw3PvxdV7c_Ab-i9zg |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3dS8MwED90IuqD3-L8rOKDgnFpm9buUcSxqZsPKvgW0jTZBqObdqL413tp06kPIvjS0rR3tHdJ7pcm9wvAUVSnmlIpiGYqIIbSnMRRIIgfxZ4rqMRKYrKR252w-ciun4KnKbgsc2HMskrb9xd9et5b25KatWZt1O_X7jFae4i_zc7UhgElnIYZZja1rsDMReum2ZlMJiBmz1mk8HliBL4SeQoleeGxy05yPSSnWegN0-4zBo_fwtU3ODr7JlIt0u63uNRYhkULKJ2L4p1XYEqlq7BkwaVjm262CgvtCUErXs3mKz9ltgand6mDN5xuwT_d_0CpnI_TGWoHjdOXPXStY2qqytbhsXH1cNkkdgsFIhn1x0SFOmahjhQVeBa-YIwqk5ua-GHgSp0kUYIHkxIfe3UaJXUMXkwxpV2NjmP-BlTSYao2wdFuJDTiDY8GmiUB4pqYovqE1qX0wvPzKmxPrMZHBVUGRzyD4xe0cRVYaUcuLfu42QRjwL-WmeFj3LgChyM8dwUPq3A2ESt1_iEQlU7iP-oRxxDxl-hB6VSObcxMnIhUDV8z7oYIgw2XGX7GofU2t20949n72-A95sozP49QPd36_zvsw1zzoX3Lb1udm22YNyqL_z07UBm_vKpdREDjeM_W8E-S6Pke |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=ON+THE+GENERALIZED+ORDER+OF+DIRICHLET+SERIES&rft.jtitle=%E6%95%B0%E5%AD%A6%E7%89%A9%E7%90%86%E5%AD%A6%E6%8A%A5%EF%BC%9AB%E8%BE%91%E8%8B%B1%E6%96%87%E7%89%88&rft.au=%E9%9C%8D%E9%A2%96%E8%8E%B9+%E5%AD%94%E8%8D%AB%E8%8E%B9&rft.date=2015&rft.issn=0252-9602&rft.eissn=1572-9087&rft.issue=1&rft.spage=133&rft.epage=139&rft_id=info:doi/10.1016%2FS0252-9602%2814%2960146-6&rft.externalDocID=663826252 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F86464X%2F86464X.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fsxwlxb-e%2Fsxwlxb-e.jpg |