Results 71 to 80 of about 2,576 (164)

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   +1 more source

Complete orthogonal Appell systems for spherical monogenics

, 2011
In this paper, we investigate properties of Gelfand-Tsetlin bases mainly for spherical monogenics, that is, for spinor valued or Clifford algebra valued homogeneous solutions of the Dirac equation in the Euclidean space.
Lavicka, R.
core   +1 more source

Exploring the Characteristics of Δ_h Bivariate Appell Polynomials: An In-Depth Investigation and Extension through Fractional Operators

Fractal and Fractional
The objective of this article is to introduce the ∆h bivariate Appell polynomials ∆hAs[r](λ,η;h) and their extended form via fractional operators. The study described in this paper follows the line of study in which the monomiality principle is used to ...
Musawa Yahya Almusawa
doaj   +1 more source

Truncated-Exponential-Based General-Appell Polynomials

Mathematics
In this paper, a new and general form of truncated-exponential-based general-Appell polynomials is introduced using the two-variable general-Appell polynomials.
Zeynep Özat, Bayram Çekim, Mehmet Ali Özarslan, Francesco Aldo Costabile   +3 more
doaj   +1 more source

Noncentral Limit Theorems and Appell Polynomials

The Annals of Probability, 1987
Let \(n\geq 1\) be an integer and \(\{\xi_ i\}^{\infty}_{i=-\infty}\) an i.i.d. sequence of random variables with mean 0 and E \(\xi\) \({}_ i^{2n}
Avram, Florin, Taqqu, Murad S.
openaire   +2 more sources

A New Generalization of mth-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

Mathematics
This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Shahid Ahmad Wani, Alawia Adam   +4 more
doaj   +1 more source

Degenerate 2D bivariate Appell polynomials: properties and applications

Applied Mathematics in Science and Engineering, 2023
The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani, Arundhati Warke, Javid Gani Dar   +2 more
doaj   +1 more source

Bernoulli type polynomials on Umbral Algebra

, 2011
The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti, G Dattoli, L M Milne-Thomson, M-S Kim, P Blasiak, R Dere, R. Dere, S Roman, Y. Simsek   +8 more
core   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
doaj   +1 more source

Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces [PDF]

, 2011
Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors.
Lavicka, Roman
core