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On p-adic gamma function related to q-Daehee polynomials and numbers
(Universidad Catolica del Norte, 2019)
In this paper, we investigate p-adic q-integral (q-Volkenborn integral) on Zp of p-adic gamma function via their Mahler expansions. We also derived two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee ...
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
(Natural Sciences Publishing USA, 2018)
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 ...
A survey on p-adic integrals
(Springer International Publishing, 2019)
The p-adic numbers are a counterintuitive arithmetic system and were firstly introduced circa end of the nineteenth century. In conjunction with the introduction of these numbers, many mathematicians and physicists started ...
Hermite based poly-bernoulli polynomials with a q-parameter
(Jangjeon Mathematical Society, 2018)
We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We ...
A novel kind of hermite based frobenius type Eulerian polynomials
(Jangjeon Research Institute for Mathematical Sciences and Physics, 2019)
We introduce a new kind of extended Hermite-based Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation equations including some symmetric formulas by utilizing series manupulation ...
A note on q-Fubini polynomials
(Jangjeon Mathematical Society, 2019)
Motivated by the construction of the generating functions of c-Bernoulli polynomials and q-Euler polynomials satisfying with their important results, we define a new g-class of the Fubini polynomials. We give some new ...
Construction of the type 2 poly-Frobenius-Genocchi polynomials with their certain applications
(Springer, 2020)
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-Genocchi polynomials, which is called the type 2 ...
On applications of blending generating functions of q-Apostol-type polynomials
(Bulgarian Academy of Sciences, 2019)
Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...
Apostol type (P, Q)-Frobenius-euler polynomials and numbers
(University of Kragujevac, Faculty of Science, 2018)
In the present paper, we introduce (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition theorems, ...
Unified (p, q)-analog of Apostol Type Polynomials of Order alpha
(University of Nis, 2018)
In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...
