Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/31474
Title: New families of special numbers and polynomials arising from applications of p-adic q-integrals
Authors: Kim, Daeyeoul
Şimşek, Yılmaz
Yardımcı, Ahmet
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
Ayna, Hacer Özden
23973633900
Keywords: Mathematics
P-adic q-integral
Apostol Bernoulli numbers and polynomials
Daehee numbers
Stirling numbers
Frobenius-Euler numbers
Generating functions
Bernoull
Identities
Series
Euler
Zeta
Issue Date: 26-Jun-2017
Publisher: Springer
Citation: Kim, D. vd. (2017). ''New families of special numbers and polynomials arising from applications of p-adic q-integrals''. Advances in Difference Equations, 2017(1).
Abstract: In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions are given. With the help of these equations, many interesting and useful identities, relations, and formulas are derived. We also give p-adic q-integral representations of these numbers and polynomials. The results we have obtained for these special numbers and polynomials are closely related to well-known families of polynomials and numbers including the Bernoulli numbers, the Apostol-type Bernoulli numbers and polynomials and the Frobenius-Euler numbers, the Stirling numbers, and the Daehee numbers. We give some remarks and observations on the results of this paper.
URI: https://doi.org/10.1186/s13662-017-1273-4
https://advancesincontinuousanddiscretemodels.springeropen.com/articles/10.1186/s13662-017-1273-4
http://hdl.handle.net/11452/31474
ISSN: 1687-1847
Appears in Collections:Scopus
Web of Science

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