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Now showing items 11-20 of 51

#### A Note on the Truncated-Exponential Based Apostol-Type Polynomials

(MDPI, 2019-04)

In this paper, we propose to investigate the truncated-exponential-based Apostol-type polynomials and derive their various properties. In particular, we establish the operational correspondence between this new family of ...

#### 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 ...

#### Unified (P, q)-analog of apostol type polynomials of order α

(UNIV NIS, 2018)

In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...

#### 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, ...

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

(ELSEVIER SCIENCE INC, 2014-11-15)

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 ...

#### SOME NEW SYMMETRIC IDENTITIES INVOLVING q-GENOCCHI POLYNOMIALS UNDER S-4

(UNIV PRISHTINES, 2015)

In the paper, we derive some new symmetric identities of q-Genocchi polynomials arising from the fermionic p-adic q-integral on Z(p).

#### Identities on Some Special Poynomials Derived from the Concepts of n-Normed Structures, Accretive Operators and Contraction Mappings

(SPRINGER INTERNATIONAL PUBLISHING A, 2018-06)

In this paper, we study the notions of accretive operators, contraction mappings, non-expansive mappings using the idea of n (>l)-normed structures for some relevant results. Further, we define (lambda, q)-transform by ...

#### Hermite based poly-bernoulli polynomials with a g-parameter

(Jangjeon Mathematical Society, 2018)

We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We ...

#### Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function

(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015-02)

The Newton power-sum formulas relate to sums of powers of roots of a polynomial with the coefficients of the polynomial. In this paper we obtain formulas that relate to sums of reciprocal powers of zeros and poles of entire ...