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Toplam kayıt 10, listelenen: 1-10
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 ...
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 ...
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 ...
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 ...
A Study on Some New Results Arising from (p, q)-Calculus
(Institute of Applied Mathematics, 2020)
This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ...
Some (p, q)-analogues of Apostol type numbers and polynomials
(University of Tartu Press, 2019)
We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ...
Research on Some New Results Arising from Multiple q-Calculus
(University of Nis, 2018)
In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple q-antiderivative and ...
Bell-Based Bernoulli Polynomials with Applications
(MDPI, 2021)
In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the ...
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 ...