Now showing items 1-6 of 6
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 ...
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 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, ...
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 the properties of q-Bernstein-type polynomials
(Natural Sciences Publishing USA, 2017)
The aim of this paper is to give a new approach to modified q-Bernstein polynomials for functions depend on the several variables. We derive the recurrence formulas related to the second Stirling numbers and generalized ...
On (p,q)-Bernoulli, (p,q)-Euler and (p,q)-genocchi polynomials
(American Scientific Publishers, 2016)
In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials based on the (p,q)-calculus and investigate their some properties involving addition theorems, difference equations, derivative ...