Results 101 to 110 of about 1,030,362 (115)

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
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5 The monomiality principle

2023
exaly   +2 more sources

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.
P E Ricci
exaly   +2 more sources

Associated Laguerre–Konhauser polynomials, quasi-monomiality and operational identities [PDF]

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 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
exaly   +1 more source

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.
G. Dattoli, RICCI, Paolo Emilio, GERMANO, Bruna   +2 more
exaly   +2 more sources

Two-Variable q-General-Appell Polynomials Within the Context of the Monomiality Principle

Mathematics
In this study, we consider the two-variable q -general polynomials and derive some properties. By using these polynomials, we introduce and study the theory of two-variable q -general Appell polynomials (2V q gAP) using q -operators. The effective use of
Waseem Ahmad Khan, Can Kizilateş
exaly   +1 more source

$$\Delta _h$$-Appell versions of U-Bernoulli and U-Euler polynomials: properties, zero distribution patterns, and the monomiality principle

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramírez, William, Díaz, Stiven, Urieles, Alejandro, Cesarano, Clemente, Wani, Shahid Ahmad   +4 more
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Legendre polynomials: Lie methods and monomiality

Mathematical and Computer Modelling, 2008
Subuhi Khan, P E Ricci
exaly  

Monomiality and multi-index multi-variable special polynomials

Integral Transforms and Special Functions, 2007
Subuhi Khan
exaly