Results 1 to 10 of about 1,802,704 (118)

q-Binomial Convolution and Transformations of q-Appell Polynomials [PDF]

Axioms, 2021
In this paper, binomial convolution in the frame of quantum calculus is studied for the set Aq of q-Appell sequences. It has been shown that the set Aq of q-Appell sequences forms an Abelian group under the operation of binomial convolution.
Alaa Mohammed Obad, Asif Khan, Kottakkaran Sooppy Nisar, Ahmed Morsy   +3 more
doaj   +19 more sources

On the q-Lie group of q-Appell polynomial matrices and related factorizations

Special Matrices, 2018
In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
doaj   +5 more sources

A Note on q-Fubini-Appell Polynomials and Related Properties

Journal of Function Spaces, 2021
The present article is aimed at introducing and investigating a new class of q-hybrid special polynomials, namely, q-Fubini-Appell polynomials. The generating functions, series representations, and certain other significant relations and identities of ...
Abdulghani Muhyi, Serkan Araci
doaj   +2 more sources

A Numerical Computation of Zeros of q-Generalized Tangent-Appell Polynomials

Mathematics, 2020
The intended objective of this study is to define and investigate a new class of q-generalized tangent-based Appell polynomials by combining the families of 2-variable q-generalized tangent polynomials and q-Appell polynomials. The investigation includes
Ghazala Yasmin, Cheon Seoung Ryoo, and Hibah Islahi   +2 more
doaj   +2 more sources

Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials

Mathematics, 2018
The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj   +2 more sources

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +2 more sources

Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality

Mathematics
In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
doaj   +2 more sources

q-Calculus as operational algebra; pp. 73–97 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354–374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
doaj   +1 more source

Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bögel Space

Mathematics, 2022
In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators.
Abdullah Alotaibi
doaj   +1 more source

The different tongues of q-calculus; pp. 81–99 [PDF]

Proceedings of the Estonian Academy of Sciences, 2008
In this review paper we summarize the various dialects of q-calculus: quantum calculus, time scales, and partitions. The close connection between Γq(x) functions on the one hand, and elliptic functions and theta functions on the other hand will be shown.
Thomas Ernst
doaj   +1 more source