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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Laguerre derivative and monogenic Laguerre polynomials : an operational approach [PDF]
, 2011 Hypercomplex function theory generalizes the theory of holomorphic functions of one complex variable by using Clifford Algebras and provides the fundamentals of Clifford Analysis as a refinement of Harmonic Analysis in higher dimensions. We define the
Cação, I. +2 more
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Quasi-monomiality and operational identities for Laguerre–Konhauser-type matrix polynomials and their applications [PDF]
, 2018 It is shown that an appropriate combination of methods, relevant to matrix polynomials and to operational calculus can be a very useful tool to establish and treat a new class of matrix Laguerre–Konhauser polynomials.
Bin-Saad, Maged G., Mohsen, Fadhle B.F.
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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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Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
AIMS Mathematics, 2020 A mixed family of polynomials, called the Boas-Buck-Sheffer family is introduced and their quasi-monomial properties are established in this article. Also, the generalizations of the Szasz operators including this mixed polynomial family are obtained and
Shahid Ahmad Wani +1 more
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A new class of Gould-Hopper-Eulerian-type polynomials
Applied Mathematics in Science and Engineering, 2022 In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials.
Abdulghani Muhyi
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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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Two-iterated degenerate Appell polynomials: properties and applications
Arab Journal of Basic and Applied SciencesIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
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On monomiality property of q-Gould-Hopper-Appell polynomials
Arab Journal of Basic and Applied SciencesRecently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials.
Nusrat Raza, Mohammed Fadel, Subuhi Khan
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Two-Variable q-Hermite-Based Appell Polynomials and Their Applications
MathematicsA noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials.
Mohammed Fadel +2 more
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