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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, ...
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 ...
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 ...
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 ...
A General Class of the Three-Variable Unified Apostol-Type q-Polynomials and Multiple Power q-Sums
(Springer International Publishing, 2019)
The main purpose of this article is to introduce a general class of the three-variable unified Apostol-type q-polynomials and to investigate their properties and characteristics. In particular, the generating function, ...
Applications of fourier series and zeta functions to Genocchi polynomials
(Natural Sciences Publishing, 2018-09-01)
In this paper, we firstly consider the properties of Genocchi polynomials, Fourier series and Zeta functions. In the special cases, we see that the Fourier series yield Zeta functions. From here, we show that zeta functions ...
A note on the (p,q)-Hermite polynomials
(Natural Sciences Publishing USA, 2018-01-01)
In this paper, we introduce a new generalization of the Hermite polynomials via (p,q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, ...
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)
In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...
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 ...
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 ...
