Results 21 to 30 of about 207 (144)
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
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Wronskian Appell polynomials and symmetric functions [PDF]
Advances 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
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A Numerical Computation of Zeros of q-Generalized Tangent-Appell Polynomials
Mathematics, 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
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Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials
Mathematics, 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
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Fractal 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
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A determinantal approach to Appell polynomials
Journal of Computational and Applied Mathematics, 2010 Families of Appell polynomials \((A_n(x))_{n\geq 0}\) satisfy \(\frac{\mathrm{d} A_n(x)}{\mathrm{d} x}=n A_{n-1}(x)\) for \(n\geq 1\). In the present paper a way is presented to express Appell polynomials as certain determinants. From this representation (and by using some linear algebra) the authors get several general properties of Appell polynomials
Costabile, F.A., Longo, E.
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Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
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A New Family of Appell-Type Changhee Polynomials with Geometric Applications
AxiomsRecently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials.
Rashad A. Al-Jawfi +2 more
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MathematicsThis 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
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On the Reducibility of Weighted Composition Operators Generated by Periodic Transformations
International 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
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