## Ara

Toplam kayıt 18, listelenen: 1-10

#### Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus

(Elsevier, 2014-03)

The aim of this paper is to deal with applications of umbral calculus on fermionic p-adic integral onZp. From those applications, we derive some new identities on Genocchi numbers and polynomials. Moreover, a systemic study ...

#### Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials

(Springer, 2015-12)

In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler ...

#### Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials

(Elsevier, 2015-07)

In this paper, we present a further investigation for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ...

#### Identities involving some new special polynomials arising from the applications of fractional calculus

(Natural Sciences Publishing Co., 2015)

Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making ...

#### Symmetric identities involving weighted q-Genocchi polynomials under s4

(Jangjeon Research Institute for Mathematical Sciences and Physics, 2015)

In the paper, wo obtain some new symmetric identities of weighted g-Genocchi polynomials using the fermionic p-adic q-integral on Zp.

#### Existence and uniqueness for a solution of pseudohyperbolic equation with nonlocal boundary condition

(Natural Sciences Publishing Co., 2015)

Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonlocal) conditions. We derive useful results involving ...

#### On the von Staudt-Clausen's theorem associated with q-Genocchi numbers

(Elsevier, 2014-11)

Recently, the von Staudt-Clausen's theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt-Clausen's ...

#### On the von Staudt–Clausen's theorem related to q-Frobenius–Euler numbers

(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 ...

#### A note on the values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers

(2015)

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 ...

#### Recent Trends in Special Numbers and Special Functions and Polynomials

(Hindawi Publishing Corporation, 2015)

[No abstract available]