Results 21 to 30 of about 117,000 (133)

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

open access: yesFractal 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

On (self-) reciprocal Appell polynomials: Symmetry and Faulhaber-type polynomials [PDF]

open access: yes, 2021
The main purpose of this paper is to study generalized (self-) reciprocal Appell polynomials, which play a certain role in connection with Faulhaber-type polynomials.
Kellner, Bernd C.
core   +1 more source

?h-GOULD-HOPPER APPELL POLYNOMIALS

open access: yes, 2021
In this paper, we introduce the Delta(h)-Gould-Hopper Appell polynomials A(n)(x, y; h) via h-Gould-Hopper polynomials G(h)(n)(x, y). These polynomials reduces to Delta(h)-Appell polynomials in the case y = 0, Delta-Appell polynomials in the case y = 0 ...
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
core   +1 more source

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

open access: yesInternational 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

q-Multiple Appell Polynomials [PDF]

open access: yes, 2021
Master of Science in Mathematics. Institute of Graduate Studies and Research. Thesis (M.S.) - Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2021. Supervisor: Prof. Dr. Mehmet Ali Özarslan.In 1880, Paul Emile Appell
Çil, Merve
core  

Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials

open access: yesMathematics, 2018
The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj   +1 more source

Combinatorial identities for Appell polynomials [PDF]

open access: yes, 2018
Using the techniques of the modern umbral calculus, we derive several combinatorial identities involving s-Appell polynomials. In particular, we obtain identities for classical polynomials, such as the Hermite, Laguerre, Bernoulli, Euler, Norlund ...
Emanuele Munarini, E. Munarini
core   +1 more source

Appell polynomials as values of special functions [PDF]

open access: yes, 2018
We show that there is a large class of Appell sequences {Pn(x)}n=0 ∞ for which there is a function F(s,x), entire in s for fixed x with Rex>0 and satisfying F(−n,x)=Pn(x) for n=0,1,2,….
Navas, L.M. [0000-0002-5742-8679]   +7 more
core   +1 more source

A Numerical Computation of Zeros of q-Generalized Tangent-Appell Polynomials

open access: yesMathematics, 2020
The intended objective of this study is to define and investigate a new class of q-generalized tangent-based Appell polynomials by combining the families of 2-variable q-generalized tangent polynomials and q-Appell polynomials. The investigation includes
Ghazala Yasmin   +2 more
doaj   +1 more source

Adjoint Appell-Euler and First Kind Appell-Bernoulli Polynomials [PDF]

open access: yes, 2019
The adjunction property, recently introduced for Sheffer polynomial sets, is considered in the case of Appell polynomials.
P. Natalini   +3 more
core   +1 more source

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