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Now showing items 21-30 of 37

#### Certain fractional calculus formulas involving extended generalized Mathieu series

(SPRINGEROPEN, 2018-04-23)

We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral ...

#### 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 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 values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers

(SPRINGEROPEN, 2015-01-31)

The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials (or ...

#### 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 ...

#### Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers

(SPRINGER INTERNATIONAL PUBLISHING AG, 2018-06)

In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a, B) and n(a, E), respectively. Secondly, we derive the mean value of a ...

#### 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 ...

#### On a q-analog of some numbers and polynomials

(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-01-20)

In this paper, we introduce new q-analogs of the Changhee numbers and polynomials of the first kind and of the second kind. We also derive some new interesting identities related to the Stirling numbers of the first kind ...

#### A new generalization of Apostol type Hermite-Genocchi polynomials and its applications

(SPRINGER INTERNATIONAL PUBLISHING AG, 2016-06-24)

By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation ...

#### 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, ...