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On weighted q-Daehee polynomials with their applications
(Elsevier B.V., 2019-03)
In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain ...
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 ...
Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution
(MDP, 2019-03-10)
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential ...
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 ...
Certain Results of q-Sheffer-Appell Polynomials
(MDPI, 2019-02)
In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established. Certain members of ...
Some unified formulas involving generalized-apostol-typegould-hopper polynomials and multiple power sums
(JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2019)
The article aims to introduce a new unified class of generalized Apostol type polynomials. Further, under a slight modification on the parameters associated to the generalized Apostol type and generalized Gould-Hopper ...
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, ...
Common fixed point theorems for generalized G − η − χ− contractive type mappings with applications
(Boletim da Sociedade Paranaense de Matematica, 2019)
Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of α − ψ− contractive type mappings in metric spaces. In 2013, Alghamdi et. al.[2] introduced the concept of G−β−ψ−contractive type mappings in ...
Truncated-exponential-based Frobenius–Euler polynomials
(Springer, 2019-12-01)
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function. By making use of this exponential ...
