Results 21 to 30 of about 94 (83)
Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials
Mathematics, 2023 A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed +2 more
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Fractal and Fractional, 2023 The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Rabab Alyusof, Shahid Ahmmad Wani
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General-Appell Polynomials within the Context of Monomiality Principle [PDF]
International Journal of Analysis, 2013 A general class of the 2-variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2-variable general-Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established.
Khan, Subuhi, Raza, Nusrat
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Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani +3 more
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Degenerate 2D bivariate Appell polynomials: properties and applications
Applied Mathematics in Science and Engineering, 2023 The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani +2 more
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Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering [PDF]
Physics Letters A, 2006 We construct explicit representations of the Heisenberg-Weyl algebra [P,M]=1 in terms of ladder operators acting in the space of Sheffer-type polynomials. Thus we establish a link between the monomiality principle and the umbral calculus. We use certain operator identities which allow one to evaluate explicitly special boson matrix elements between the
Blasiak, P. +3 more
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Differential Equations for Classical and Non-Classical Polynomial Sets: A Survey
Axioms, 2019 By using the monomiality principle and general results on Sheffer polynomial sets, the differential equation satisfied by several old and new polynomial sets is shown.
Paolo Emilio Ricci
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Construction of a new family of Fubini-type polynomials and its applications
Advances in Difference Equations, 2021 This paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new families of special polynomials ...
H. M. Srivastava +5 more
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Certain results on a hybrid class of the Boas–Buck polynomials
Advances in Difference Equations, 2020 This article aims to introduce a hybrid family of 2-variable Boas–Buck-general polynomials by taking Boas–Buck polynomials as a base with the 2-variable general polynomials.
Ghazala Yasmin +2 more
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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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