Now showing items 31-40 of 42
A novel approach for obtaining new identities for the lambda extension of q- Euler polynomials arising from the q-umbral calculus
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)
In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral ...
An analogue of Eulerian polynomials related to L-type function
(MAEJO UNIV, 2015-05)
We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation ...
Research on Some New Results Arising from Multiple q-Calculus
(UNIV 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 ...
ON (q, r, w)-STIRLING NUMBERS OF THE SECOND KIND
(UNIV PRISHTINES, 2018)
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and derive several relations ...
A note on the (p,q)-Hermite polynomials
(Natural Sciences Publishing USA, 2018-01-01)
In this paper, we introduce a new generalization of the Hermite polynomials via (p,q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, ...
ON q-GENOCCHI POLYNOMIALS WITH WEIGHTED alpha AND beta UNDER SYMMETRIC GROUP OF DEGREE n
(MILI PUBL, 2016-09)
In this paper, we give some interesting identities for the modified q-Genocchi polynomials with weight alpha and beta under symmetric group of degree n denoted by S-n arising from the fermionic p-adic q-integral on Z(p)
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
(Natural Sciences Publishing USA, 2018-03-01)
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 ...
On an Analogue of Euler Polynomials and Related to Extended Fermionic p-Adic Integrals on Z(p)
(SPRINGER INTERNATIONAL PUBLISHING AG, 2017-09)
In the paper, using the extended fermionic p-adic integral on Z(p), the authors find some applications of the umbral calculus. From these applications, the authors derive some identities on the weighted Euler numbers and ...
A certain (p, q)-derivative operator and associated divided differences
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D-q and divided difference. As applications of the post-quantum calculus ...
Unified (P, q)-analog of apostol type polynomials of order α
(UNIV 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 ...