Results 11 to 20 of about 528 (133)

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

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

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

A Study on Generalized Degenerate Form of 2D Appell Polynomials via Fractional Operators

Fractal and Fractional, 2023
This paper investigates the significance of generating expressions, operational principles, and defining characteristics in the study and development of special polynomials.
Mohra Zayed, Shahid Ahmad Wani
doaj   +1 more source

Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials

International Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley   +1 more source

On Degenerate Poly‐Daehee Polynomials Arising from Lambda‐Umbral Calculus

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this article, we derived various identities between the degenerate poly‐Daehee polynomials and some special polynomials by using λ‐umbral calculus by finding the coefficients when expressing degenerate poly‐Daehee polynomials as a linear combination of degenerate Bernoulli polynomials, degenerate Euler polynomials, degenerate Bernoulli polynomials ...
Sang Jo Yun, Jin-Woo Park, M. M. Bhatti
wiley   +1 more source

Numerical Solution for Arbitrary Domain of Fractional Integro‐differential Equation via the General Shifted Genocchi Polynomials

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in [0, 1].
Jian Rong Loh, Chang Phang, Abdulnasir Isah, Yusuf Gurefe   +3 more
wiley   +1 more source

Sixth‐Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels. Using the separation of variables, the nonlinear mixed partial integrodifferential equation is converted to a nonlinear Fredholm integral equation. Then, using different numerical methods, the Bernoulli
Abeer M. Al-Bugami, Mohamed A. Abdou, Amr M. S. Mahdy, Adel A. Attiya   +3 more
wiley   +1 more source

Fock and Hardy spaces: Clifford Appell case

Mathematische Nachrichten, Volume 295, Issue 5, Page 834-860, May 2022., 2022
Abstract In this paper, we study a specific system of Clifford–Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions.
Daniel Alpay, Kamal Diki, Irene Sabadini
wiley   +1 more source