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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 ...
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 ...
(ρ,q)-Volkenborn integration
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017-02)
In the paper, we introduce an analogue of Haar distribution based on (rho, q)-numbers, as follows:
mu(rho,q) (a + p(N)Z(p)) = rho(pN)/[p(N)](rho,q) (q/rho)(a)
By means of this distribution, we derive (rho, q)-analogue ...
ON HIGHER ORDER (p, q)-FROBENIUS-EULER POLYNOMIALS
(INST APPLIED MATHEMATICS, 2017)
The main purpose of this paper is to introduce (p, q)-Frobenius-Euler numbers and polynomials, and to investigate their some identities and properties including addition property, difference equation, derivative property, ...
