Search
Now showing items 11-20 of 49
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 ...
Some (p, q)-analogues of Apostol type numbers and polynomials
(UNIV TARTU PRESS, 2019-06)
We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ...
Generating functions of binary products of k-Fibonacci and orthogonal polynomials
(SPRINGER-VERLAG ITALIA SRL, 2019-07)
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined ...
FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS
(MILI PUBL, 2018-04)
In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of ...
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 ...
