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Now showing items 41-49 of 49

#### ON HIGHER ORDER (p, q)-FROBENIUS-EULER POLYNOMIALS

(INST APPLIED MATHEMATICS, 2017)

The main purpose of this paper is to introduce (p, q)-Frobenius-Euler numbers and polynomials, and to investigate their some identities and properties including addition property, difference equation, derivative property, ...

#### 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 ...

#### 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 STUDY ON SOME NEW RESULTS ARISING FROM (p, q)-CALCULUS

(INST APPLIED MATHEMATICS, 2020)

This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ...

#### Symmetric functions of the k-Fibonacci and k-Lucas numbers

(World Scientific Publishing Co. Pte Ltd, 2020)

In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined in this paper, we give ...

#### Construction of a new class of symmetric function of binary products of (p, q)-numbers with 2-orthogonal Chebyshev polynomials

(Birkhauser, March 2021)

In this paper, we give some new generating functions of the products of (p, q)-Fibonacci numbers, (p, q) -Lucas numbers, (p, q)-Pell numbers, (p, q) -Pell Lucas numbers, (p, q)-Jacobsthal numbers, and (p, q)-Jacobsthal ...

#### Symmetric functions of the k-Fibonacci and k-Lucas numbers

(WORLD SCIENTIFIC PUBL CO PTE LTD, MAR 2021)

In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Lucas numbers and Fibonacci polynomials. By making use of the new operator defined in this paper, we give ...

#### Bell-Based Bernoulli Polynomials with Applications

(MDPI, MAR 2021)

In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the ...

#### Construction of a New Class of Generating Functions of Binary Products of Some Special Numbers and Polynomials

(UNIV NIS, 2021)

In this paper, we derive some new symmetric properties of k-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special numbers such as k-Fibonacci ...