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Now showing items 41-50 of 53

#### A certain (p, q)-derivative operator and associated divided differences

(SPRINGEROPEN, 2016)

Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D-q and divided difference. As applications of the post-quantum calculus ...

#### ON q-GENOCCHI POLYNOMIALS WITH WEIGHTED alpha AND beta UNDER SYMMETRIC GROUP OF DEGREE n

(MILI PUBL, 2016-09)

In this paper, we give some interesting identities for the modified q-Genocchi polynomials with weight alpha and beta under symmetric group of degree n denoted by S-n arising from the fermionic p-adic q-integral on Z(p)

#### ON (q, r, w)-STIRLING NUMBERS OF THE SECOND KIND

(UNIV PRISHTINES, 2018)

In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and derive several relations ...

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

(Springer, 1 December)

Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 ...

#### On the dirichlet’s type of eulerian polynomials

(Springer Medizin, September )

In the present paper, we introduce the Eulerian polynomials attached to χ using p-adic q-integral on Zp. Also, we give some new interesting identities via the generating functions of Dirichlet’s type of Eulerian polynomials. ...