Now showing items 1-5 of 5
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 ...
A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays
(Elsevier Inc., 2020-03-15)
The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer ...
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 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 ...