Results 11 to 20 of about 6,635 (118)

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

On the complex q-Appell polynomials

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2020
The purpose of this article is to generalize the ring of \(q\)-Appell polynomials to the complex case. The formulas for \(q\)-Appell polynomials thus appear again, with similar names, in a purely symmetric way. Since these complex \(q\)-Appell polynomials are also \(q\)-complex analytic functions, we are able to give a first example of the \(q\)-Cauchy-
Ernst, Thomas
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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, Subuhi Khan, Mumtaz Riyasat   +2 more
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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

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

Around q-Appell polynomial sequences

The Ramanujan Journal, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Loureiro, Ana F., Maroni, Pascal
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A Study of the q-Truncated Exponential–Appell Polynomials

Mathematics
This article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp.
Francesco Aldo Costabile, Subuhi Khan, Hassan Ali   +2 more
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Two-Variable q-General-Appell Polynomials Within the Context of the Monomiality Principle

Mathematics
In this study, we consider the two-variable q-general polynomials and derive some properties. By using these polynomials, we introduce and study the theory of two-variable q-general Appell polynomials (2VqgAP) using q-operators.
Noor Alam, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +2 more sources

On a family of q-modified-Laguerre-Appell polynomials

Arab Journal of Basic and Applied Sciences
This 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 Muhyi
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Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases

Le Matematiche, 2018
Summary: We present identities of various kinds for generalized \(q\)-Apostol-Bernoulli and Apostol-Euler polynomials and power sums, which resemble \(q\)-analogues of formulas from the 2009 paper by \textit{H. M. Liu} and \textit{W. Wang} [Discrete Math. 309, No. 10, 3346--3363 (2009; Zbl 1227.11043)].
Ernst, Thomas
openaire   +4 more sources