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#### 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 ...

#### 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 [16], 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

(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 ...

#### Generalized Szasz-Kantorovich Type Operators

(RGN PUBL, 2019)

In this note, we present Kantorovich modification of the operators introduced by V. Mihesan [Creative Math. Inf. 17 (2008), 466 - 472]. First, we derive some indispensable auxiliary results in the second section. We present ...

#### 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 ...

#### 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 ...

#### 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 ...

#### A Kantorovich variant of a generalized Bernstein operators

(JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2019)

In this note we present a Kantorovich variant of the operators proposed by [X. Y. Chen, J. Q. Tan, Z. Liu, J. Xie, J. Math. Anal. Appl., 450 (2017), 244-261] based on non-negative parameters. Here, we prove an approximation ...