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New type of degenerate Daehee polynomials of the second kind

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info:eu-repo/semantics/openAccessinfo:eu-repo/semantics/openAccess

Date

1 December

Author

Kumar Sharma, Sunil
Khan, Waseem Ahmad
Araci, Serkan
Ahmed, Sameh S.

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Citation

Kumar, S. S., Khan, W. A., Araci, S., & Ahmed, S. S. (August 18, 2020). New type of degenerate Daehee polynomials of the second kind. Advances in Difference Equations, 2020, 1.)

Abstract

Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider a special class of polynomials, which we call a new type of degenerate Daehee numbers and polynomials of the second kind. By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we introduce a new type of higher-order degenerate Daehee polynomials of the second kind. We also derive some new identities and properties of this type of polynomials. © 2020, The Author(s).
 
Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider a special class of polynomials, which we call a new type of degenerate Daehee numbers and polynomials of the second kind. By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we introduce a new type of higher-order degenerate Daehee polynomials of the second kind. We also derive some new identities and properties of this type of polynomials. © 2020, The Author(s).
 

Source

Advances in Difference EquationsOpen Access Volume 2020, Issue 1, 1 December

Volume

2020

Issue

1

URI

https://doi.org/10.1186/s13662-020-02891-8
https://hdl.handle.net/20.500.11782/2155

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  • İİSBF - İKT Makale Koleksiyonu [171]
  • Scopus İndeksli Yayınlar Koleksiyonu [649]
  • WoS İndeksli Yayınlar Koleksiyonu [857]

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    In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain ...
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    In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ...
  • Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials 

    Araci, Serkan; Ozer, Ozen (SPRINGEROPEN, 2015-09-04)
    In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler ...



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