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Introducing ∆h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler,
Nisarc, Junaid, Ramirez, William, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
core  

Certain Results of q -Sheffer–Appell Polynomials

Symmetry, 2019
In this paper, the class of q-Sheffer-Appell polynomials is introduced. The generating function, series definition, determinant definition and some other identities of this class are established.
Ghazala Yasmin, Abdulghani Muḥyī, Serkan Araci   +2 more
exaly   +2 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.
Nazim I Mahmudov
exaly   +3 more sources

Studies on Special Polynomials Involving Degenerate Appell Polynomials and Fractional Derivative

Symmetry, 2023
The focus of the research presented in this paper is on a new generalized family of degenerate three-variable Hermite–Appell polynomials defined here using a fractional derivative.
Shahid Ahmad Wani, Kinda Abuasbeh, Georgia Irina Oros   +2 more
exaly   +2 more sources

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Approximation by q-analogue of Jakimovski–Leviatan operators involving q-Appell polynomials

Iranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mursaleen, M., Ansari, Khursheed J., Nasiruzzaman, Md.   +2 more
openaire   +1 more source

q-Appell polynomials

Annali di Matematica Pura ed Applicata, 1967
A study of various properties of those sets of polynomials which satisfy(1.2) below is made.
openaire   +2 more sources

Pseudo-q-Appell Polynomials and Various Kinds of q-Stirling Numbers

AIP Conference Proceedings, 2010
In previous articles [4], [6] we have introduced q‐Appell polynomials of various kinds. In this talk we will present pseudo q‐Appell polynomials for the first time. It turns out that the associated q‐Bernoulli numbers are the same as the BJHC,ν,q (a kind of q‐Appell numbers).
Thomas Ernst, Theodore E. Simos, George Psihoyios, Ch. Tsitouras   +3 more
openaire   +1 more source

Some characterizations of appell andℊ-appell polynomials

Annali di Matematica Pura ed Applicata, 1982
Several characterizations are given for the wellknown Appell polynomials and for their basic analogues: the ℊ-Appell polynomials defined by Equation (3.3)below. The main results contained in Theorems 1, 2and 3of the present paper, and the applications considered in Section 2,are believed to be new.
openaire   +2 more sources

Integro-difference equations and umbral study for q-Appell-Hermite polynomials

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Parametric Approximation Results of Phillips Operators Involving the q-Appell Polynomials

Iranian Journal of Science and Technology, Transactions A: Science, 2021
Md. Nasiruzzaman, Khursheed J. Ansari, M. Mursaleen   +2 more
openaire   +1 more source