Now showing items 1-10 of 78
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, ...
On Finite Extensions of FC-Groups in the Class of N F-Groups
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2019-03)
Let F, N, A and N-2 denote the properties of being finite, nilpotent, abelian and nilpotent of classes at most 2, respectively. Firstly we consider the class of finitely generated FN-groups. We show that the property FC ...
lambda-STATISTICAL CONVERGENCE OF BERNSTEIN POLYNOMIAL SEQUENCES
(MILI PUBL, 2017-01)
The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the lambda-statistical convergence of sequence ...
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
(TBILISI CENTRE MATH SCI, 2018-06)
In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series ...
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 ...
On applications of blending generating functions of q-Apostol-type polynomials
(BULGARIAN ACAD SCIENCE, 2019)
Motivated by Kurt's blending generating functions of q-Apostol polynomials , we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...
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 ...
Certain Results of q-Sheffer-Appell Polynomials
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 ...
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 ...
FIXED POINT THEOREMS FOR SOFT WEAKLY COMPATIBLE MAPPINGS IN SOFT G-METRIC SPACES
(MILI PUBL, 2016-09)
In the present paper, our aim is to prove some common fixed point theorems for a pair of soft weakly compatible mappings in soft G-metric spaces. Some examples are also given to support our results.