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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. ...
