Results 21 to 30 of about 112,843 (166)

On a family of q-modified-Laguerre-Appell polynomials

Arab Journal of Basic and Applied Sciences
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
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   +1 more source

Polynomials biorthogonal to Appell's polynomials [PDF]

Bulletin of the Australian Mathematical Society, 1974
We present the solution of a long-standing problem, namely, the determination of a set of polynomials in two independent variables which are biorthogonal over a triangular region to a set of polynomials previously introduced by Appell. Some elementary properties of our polynomials are investigated.
Fackerell, Edward D., Littler, R. A.
openaire   +1 more source

New characterization of Appell polynomials [PDF]

Integral Transforms and Special Functions, 2016
We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples. In addition, from our study, we obtain Fourier expansions of Appell polynomials.
Bayad, Abdelmejid, Komatsu, Takao
openaire   +2 more sources

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

Appell polynomials as values of special functions [PDF]

, 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], Varona, J.L. [0000-0002-2023-9946], Francisco J. Ruiz, Juan L. Varona, Ruiz, F.J., Luis M. Navas   +5 more
core   +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

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

Mathematics, 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]

, 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