Results 1 to 10 of about 84 (71)
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 +3 more
doaj +16 more sources
A study on q-Appell polynomials from determinantal point of view [PDF]
Applied Mathematics and Computation, 2015 This research is aimed to give a determinantal definition for the $q$-Appell polynomials and show some classical properties as well as find some interesting properties of the mentioned polynomials in the light of the new definition.
M Eini Keleshteri, Nazim Mahmudov
exaly +3 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 +4 more sources
Bivariate q -Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Uğur Duran, Mohammed Fadel
exaly +3 more sources
Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus
MathematicsThis article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan +4 more
doaj +2 more sources
Journal of Inequalities and ApplicationsIn this paper, we attempt to use the Dunkl analog to study the convergence properties of q-Phillips operators by using the q-Appell polynomials. By applying the new sequences of continuous functions ν s , q ( z ) = ( z − 1 2 [ s ] q ) ϱ $\nu _{s,q}(z ...
Md. Nasiruzzaman +4 more
doaj +2 more sources
On a family of q -modified-Laguerre-Appell polynomials
Arab Journal of Basic and Applied SciencesThis paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muḥyī
exaly +3 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 +1 more source
q-Difference equations for the 2-iterated q-Appell and mixed type q-Appell polynomials [PDF]
Arabian Journal of Mathematics, 2018 En este artículo, los autores establecen las relaciones de recurrencia y las ecuaciones de diferencia q para los polinomios q-Appell de 2 iteraciones. También se derivan las relaciones de recurrencia y las ecuaciones de diferencia q para los polinomios q-Bernoulli de 2 iteraciones, los polinomios q-Euler y los polinomios q-Genocchi. También se presenta
H. M. Srivastava +2 more
openaire +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 +2 more
doaj +1 more source