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Wronskian Appell polynomials and symmetric functions [PDF]

open access: yesAdvances in Applied Mathematics, 2019
We study Wronskians of Appell polynomials indexed by integer partitions. These families of polynomials appear in rational solutions of certain Painlevé equations and in the study of exceptional orthogonal polynomials. We determine their derivatives, their average and variance with respect to Plancherel measure, and introduce several recurrence ...
Niels Bonneux   +3 more
openaire   +4 more sources

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

Certain Properties and Characterizations of Multivariable Hermite-Based Appell Polynomials via Factorization Method

open access: yesFractal and Fractional, 2023
This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed   +2 more
doaj   +1 more source

Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials

open access: yesMathematics, 2023
In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and ...
Dionisio Peralta   +2 more
doaj   +1 more source

q-Multiple Appell Polynomials

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  

Hermite-based Appell polynomials: Properties and applications [PDF]

open access: yes, 2008
By employing certain operational methods, the authors introduce Hermite-based Appell polynomials. Some properties of Hermite–Appell polynomials are considered, which proved to be useful for the derivation of identities involving these polynomials.
Khan, Rehana   +7 more
core   +1 more source

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

open access: yesMathematics
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating function for these polynomials. Several related identities and properties,
Yasir A. Madani   +5 more
doaj   +1 more source

On the Reducibility of Weighted Composition Operators Generated by Periodic Transformations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this article, we study the reducibility of weighted composition operators (also known as weighted displacement operators) acting on Banach spaces of continuous functions on a compact topological space X. We consider operators of the form Bu(x) = a(x)u(α(x)), where α : X⟶X is a continuous mapping and a is a continuous function.
Teube Cyrille Mbainaissem   +3 more
wiley   +1 more source

Hahn's generalized problem and corresponding Appell sequences [PDF]

open access: yes, 2008
This thesis is devoted to some aspects of the theory of orthogonal polynomials, paying a special attention to the classical ones (Hermite, Laguerre, Bessel and Jacobi).
Loureiro, Ana F.
core  

Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality

open access: yesMathematics
In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
doaj   +1 more source

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