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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 ...
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...
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 ...
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 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, ...
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)
In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ...
On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016-02)
In this paper, we introduce q-Frobenius-Euler numbers and derive some new properties. From those properties, we show that this number is a p-adic integer, and can be expressed by von Staudt-Clausen's theorem. We also get ...
On weighted q-Daehee polynomials with their applications
(Elsevier B.V., 2019-03)
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 ...
A Note on the Truncated-Exponential Based Apostol-Type Polynomials
(MDPI, 2019-04)
In this paper, we propose to investigate the truncated-exponential-based Apostol-type polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of ...
