A note on degenerate Genocchi and poly-Genocchi numbers and polynomials

T Kim, DS Kim, J Kwon, HY Kim - Journal of Inequalities and Applications, 2020‏ - Springer
Abstract Recently, Dolgy–Jang introduced the poly-Genocchi polynomials and numbers
arising from the modified polyexponential function. In this paper, we study the degenerate …

A New Family of Degenerate Poly‐Genocchi Polynomials with Its Certain Properties

WA Khan, R Ali, KAH Alzobydi… - Journal of Function …, 2021‏ - Wiley Online Library
In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers,
which are called degenerate poly‐Genocchi polynomials and numbers, by using the …

On (p, q)-Bernoulli,(p, q)-Euler and (p, q)-Genocchi polynomials

U Duran, M Acikgoz, S Araci - Journal of Computational and …, 2016‏ - ingentaconnect.com
In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials
based on the (p, q)-calculus and investigate their some properties involving addition …

Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

U Duran, M Acikgoz, S Araci - Advances in Difference Equations, 2020‏ - Springer
Abstract Kim and Kim (Russ. J. Math. Phys. 26 (1): 40–49, 2019) have studied the type 2
poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius …

p-Adic integral on associated with degenerate Bernoulli polynomials of the second kind

LC Jang, DS Kim, T Kim, H Lee - Advances in Difference Equations, 2020‏ - Springer
In this paper, by means of p-adic Volkenborn integrals we introduce and study two different
degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully …

Triple symmetric identities for w-Catalan polynomials

DS Kim, T Kim - Journal of the Korean Mathematical Society, 2017‏ - koreascience.kr
In this paper, we introduce w-Catalan polynomials as a generalization of Catalan
polynomials and derive fourteen basic identities of symmetry in three variables related to w …

[HTML][HTML] Some identities on the poly-Genocchi polynomials and numbers

DV Dolgy, LC Jang - Symmetry, 2020‏ - mdpi.com
Recently, Kim-Kim (2019) introduced polyexponential and unipoly functions. By using these
functions, they defined type 2 poly-Bernoulli and type 2 unipoly-Bernoulli polynomials and …

[PDF][PDF] New extensions of some known special polynomials under the theory of multiple q-calculus

M Acikgoz, S Araci, U Duran - Turkish Journal of Analysis and …, 2015‏ - researchgate.net
In the year 2011, the idea of multiple q-calculus was formulated and introduced in the Ph. D.
dissertation of Nalci [9] in which this idea is simple but elegant method in order to derive new …

Symmetric identities of higher-order degenerate Euler polynomials

D Kim, T Kim - arxiv preprint arxiv:1704.04025, 2017‏ - arxiv.org
arxiv:1704.04025v1 [math.NT] 13 Apr 2017 Page 1 arxiv:1704.04025v1 [math.NT] 13 Apr
2017 Noname manuscript No. (will be inserted by the editor) Symmetric identities of higher-order …

On q-Horn Hypergeometric Functions H6 and H7

A Shehata - Axioms, 2021‏ - mdpi.com
This work aims to construct various properties for basic Horn functions H 6 and H 7 under
conditions on the numerator and denominator parameters, such as several q-contiguous …