Results 11 to 20 of about 117,000 (133)

Appell-Type Functions and Chebyshev Polynomials

Mathematics, 2019
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
doaj   +2 more sources

An Algebraic Approach to the Δ_h-Frobenius–Genocchi–Appell Polynomials

Mathematics, 2023
In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani, Sarfaraj Shaikh, Parvez Alam, Shahid Tamboli, Mohra Zayed, Javid G. Dar, Mohammad Younus Bhat   +6 more
doaj   +2 more sources

A Note on q-Fubini-Appell Polynomials and Related Properties

Journal of Function Spaces, 2021
The present article is aimed at introducing and investigating a new class of q-hybrid special polynomials, namely, q-Fubini-Appell polynomials. The generating functions, series representations, and certain other significant relations and identities of ...
Abdulghani Muhyi, Serkan Araci
doaj   +2 more sources

General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

Mathematics, 2021
An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties.
Anna Napoli, Francesco Aldo Costabile, Maria Italia Gualtieri   +2 more
exaly   +3 more sources

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +2 more sources

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   +2 more sources

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

Turan's inequality for appell polynomials [PDF]

Journal of Inequalities and Applications, 2006
We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal polynomials.
Simic Slavko
doaj   +2 more sources

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   +2 more sources

Generalizations of the Bernoulli and Appell polynomials [PDF]

Abstract and Applied Analysis, 2004
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti, Pierpaolo Natalini, Paolo E. Ricci   +2 more
doaj   +2 more sources