Certain Results of q -Sheffer–Appell Polynomials

In this paper, the class of q -Sheffer–Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of q -Sheffer–Appell polynomials are investigated and some properties of these members...

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Published inSymmetry (Basel) Vol. 11; no. 2; p. 159
Main Authors Yasmin, Ghazala, Muhyi, Abdulghani, Araci, Serkan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2019
Subjects
Applied mathematics
Calculus
Interdisciplinary subjects
Polynomials
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ISSN2073-8994
2073-8994
DOI10.3390/sym11020159

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Summary:In this paper, the class of q -Sheffer–Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of q -Sheffer–Appell polynomials are investigated and some properties of these members are derived. In addition, the class of 2D q -Sheffer–Appell polynomials is introduced. Further, the graphs of some members of q -Sheffer–Appell polynomials and 2D q -Sheffer–Appell polynomials are plotted for different values of indices by using Matlab.
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ISSN:2073-8994
2073-8994
DOI:10.3390/sym11020159