Analysis of higher-order Peters-type combinatorial numbers and polynomials by their generating functions and p-adic integration

The aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means of their generating functions and p-adic integration. By using generating functions we first obtain a combinatorial identity containing not only these numbers and polynomials, but also the Sti...

Full description

Saved in:
Bibliographic Details
Published inAIP conference proceedings Vol. 2293; no. 1
Main Author Kucukoglu, Irem
Format Journal Article Conference Proceeding
LanguageEnglish
Published Melville American Institute of Physics 24.11.2020
Subjects
Binomial coefficients
Combinatorial analysis
Falling
Functions (mathematics)
Mathematical analysis
Polynomials
Representations
Online AccessGet full text
ISSN0094-243X
1551-7616
DOI10.1063/5.0026414

Cover

More Information
Summary:The aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means of their generating functions and p-adic integration. By using generating functions we first obtain a combinatorial identity containing not only these numbers and polynomials, but also the Stirling numbers of the first kind, the falling factorial and binomial coefficients. Secondly, by implementation of p-adic integration into the combinatorial sum representation of higher-order Peters-type combinatorial polynomials which includes falling factorial function, we provide both bosonic and fermionic p-adic integral representations of these numbers and polynomials. 2010 Mathematics Subject Classification: 05A10, 05A15, 11B83, 11S23, 11S80, 40C10.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0026414