Results 11 to 20 of about 1,802,704 (118)

Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This 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, Khidir Shaib Mohamed, Francesco Aldo Costabile, Can Kızılateş, Cheon Seoung Ryoo   +4 more
doaj   +3 more sources

On the complex q-Appell polynomials [PDF]

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, Ernst, Thomas,, Thomas Ernst   +2 more
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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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Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases [PDF]

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, Ernst, Thomas,
core   +4 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
doaj   +2 more sources

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

Multiplication formulas for q-Appell polynomials and the multiple q-power sums [PDF]

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2016
In the first article on q-analogues of two Appell polynomials, the generalized Apostol-Bernoulli  and Apostol-Euler  polynomials, focus was on generalizations, symmetries, and complementary argument theorems. In this second article, we focus on a recent paper by Luo, and one paper on power sums by Wang and Wang.
Ernst, Thomas
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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
doaj   +2 more sources

Two-parameter identities for \(q\)-Appell polynomials

, 2023
Summary: In this paper, by using the techniques of the \(q\)-exponential generating series, we extend a well-known two-parameter identity for the Appell polynomials to the \(q\)-Appell polynomials of type I and II. More precisely, we obtain two different \(q\)-analogues of such an identity.
Munarini E.
openaire   +3 more sources