Results 61 to 70 of about 528 (133)

Investigating 2-iterated degenerate 2D Appell polynomials and their diverse applications

This research delves into the realm of special polynomials, emphasizing the integration of the monomiality principle alongside operational rules and related properties.
Wani, Shahid Ahmad, Lande, Chhaya, Fuentes Gandara, Fabio Armando, Khan, Waseem Ahmad   +3 more
core   +1 more source

Truncated-Exponential-Based Appell-Type Changhee Polynomials

, 2020
The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known polynomials have been investigated and applied in various ways. In this paper,
Tabinda Nahid, Junesang Choi, Parvez Alam   +2 more
core   +1 more source

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

Some identities involving appell polynomials

, 2020
In this paper, by the classical umbral calculus method, we establishidentities involving the Appell polynomials and extend some existing identities.Mathematics Subject Classication (2010): 05A40, 11B68, 70H03.Key words: Classical umbral calculus, Appell ...
Taharbouchet, Said, Mihoubi, Miloud
core  

Matrix approach to hypercomplex Appell polynomials

, 2016
Recently the authors presented a matrix representation approach to real Appell polynomials essentially determined by a nilpotent matrix with natural number entries.
Tomaz, Graça, Helmut Robert Malonek, Malonek, Helmuth R., Graça Tomaz, Malonek, Helmuth Robert, Malonek, Helmuth, Aceto, Lidia   +6 more
core   +1 more source

Some properties of generalized hypergeometric Appell polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $x^{(n)}$ denotes the Pochhammer symbol (rising factorial) defined by the formulas $x^{(0)}=1$ and $x^{(n)}=x(x+1)(x+2)\cdots (x+n-1)$ for $n\geq 1$.
L. Bedratyuk, N. Luno
doaj   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

A determinantal approach to Appell polynomials

, 2010
A new definition by means of a determinantal form for Appell (1880) [1] polynomials is given. General properties, some of them new, are proved by using elementary linear algebra tools.
Longo, E., Costabile, F.A.
core   +1 more source

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   +1 more source

Two-iterated degenerate Appell polynomials: properties and applications

Arab Journal of Basic and Applied Sciences
In the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
doaj   +1 more source