Results 81 to 90 of about 149 (99)
Degenerate versions of hypergeometric Bernoulli-Euler polynomials
In this paper, we introduce degenerate versions of the hypergeometric Bernoulli and Euler polynomials. We demonstrate that they form Δλ-Appell sets and provide some of their algebraic properties, including inversion formulas, as well as the associated ...
Ramírez, William +2 more
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A note on the monomiality principle and generalized polynomials
, 1999 Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio Nazionale delle ...
Dattoli, G. +3 more
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Special Issue Editorial: Theory and Applications of Special Functions II
This Editorial introduces the Symmetry Special Issue “Theory and Applications of Special Functions II” and summarizes the nine contributions collected therein.
Caratelli, Diego; id_orcid
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Exploring Properties and Applications of Laguerre Special Polynomials Involving the Δh Form
The primary objective of this research is to introduce and investigate novel polynomial variants termed Δh Laguerre polynomials. This unique polynomial type integrates the monomiality principle alongside operational rules.
Anas Altaleb +4 more
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A monomiality principle approach to the Gould-Hopper polynomials
, 2001 The reviewer [Nederl. Akad. Wet., Proc., Ser. A 79, 457-461 (1976; Zbl 0335.33002)] considered a class of generalized Hermite polynomials generated by \(G[(p+1)xt- t^{p+1})]\), where \(p\) is a positive integer and \(G[z]\) is assumed to possess an analytic expansion about \(z=0\) with nonzero coefficients.
NOSCHESE, Silvia
openaire +4 more sources
Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions
Applied Mathematics and Computation, 2004 We use Laguerre and Hermite polynomials to show that the monomiality principle can be exploited to study the properties of the polynomials and of the associated biorthogonal functions. © 2003 Elsevier Inc.
Paolo Emilio Ricci
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Associated Laguerre–Konhauser polynomials, quasi-monomiality and operational identities
Journal of Mathematical Analysis and Applications, 2006 In this paper we exploit the monomiality principle to discuss and introduce a new class of Laguerre–Konhauser polynomials. We study their properties (differential equations, generating functions, recurrence relations, expansions and so on), and discuss ...
Maged G Bin-Saad
exaly +2 more sources
The Monomiality Approach to Multi-Index Polynomials in Several Variables
Georgian Mathematical Journal, 2007 The monomiality principle was introduced (see [1] and the references therein) in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Giuseppe Dattoli, Paolo E Ricci
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Monomiality and partial differential equations
Mathematical and Computer Modelling, 2009 We show that the combination of the formalism underlying the principle of monomiality and of methods of an algebraic nature allows the solution of different families of partial differential equations.
G. Dattoli +3 more
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