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Now showing items 1-10 of 12

#### Some new formulas for the products of the Apostol type polynomials

(SPRINGEROPEN, 2016-11-10)

In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree. ...

#### 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 ...

#### Weakly Compatible Maps in Complex Valued Metric Spaces and an Application to Solve Urysohn Integral Equation

(UNIV NIS, 2016)

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E.A. ...

#### ON A CLASS OF MULTIPLE q-BERNOULLI, MULTIPLE q-EULER AND MULTIPLE q-GENOCCHI POLYNOMIALS OF ORDER alpha

(MILI PUBL, 2016-10)

Motivated and inspired by [11] and [9], the authors introduce a class of multiple q-Bernoulli polynomials of order., multiple q-Euler polynomials of order. and multiple q-Genocchi polynomials of order.. We also present ...

#### A Class of Generating Functions for a New Generalization of Eulerian Polynomials with their Interpolation Functions

(UNIV NIS, 2016)

Motivated by a number of recent investigations, we define and investigate the various properties of a new family of the Eulerian polynomials. We derive useful results involving these Eulerian polynomials including (for ...

#### Theorems on q-frobenius-euler polynomials under sym (4)

(UTIL MATH PUBL INC, 2016-11)

In this paper, we perform a further investigation for the q-Frobenius-Euler polynomials and establish some new symmetric identities which are derived from the fermionic p-adic integral on Z(p). The results derived here are ...

#### A new class of Laguerre-based Apostol type polynomials

(TAYLOR & FRANCIS AS, 2016)

In this paper, we introduce a generating function for a new generalization of Laguerre-based Apostol-Bernoulli polynomials, Apostol-Euler and Apostol-Genocchi polynomials. By making use of the generating function method ...

#### 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 ...

#### A study on a class of q-Euler polynomials under the symmetric group of degree n

(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)

Motivated by the paper of Kim et al. [T. Kim, D. S. Kim, H. I. Kwon, J. J. Seo, D. V. Dolgy, J. Nonlinear Sci. Appl., 9 (2016), 1077-1082], we study a class of q-Euler polynomials earlier given by Kim et al. in [T. Kim, ...

#### Fixed Point Theorems for Generalized (alpha, psi)-Expansive Mappings in Generalized Metric Spaces

(RGN PUBL, 2016)

The aim of this paper is to introduce new notion of generalized (alpha, psi)-expansive mappings in generalized metric spaces and to study the existence of a fixed point for the mappings in this space. Our new notion ...