Results 81 to 90 of about 747,819 (103)

Associated Laguerre–Konhauser Polynomials, Quasi-Monomiality and Operational Identities

Journal of Mathematical Analysis and Applications, 2006
The author presents a two variable generalization for one of the two Konhauser's biorthogonal polynomials, namely \(Z^{(\alpha)}_n(x; k)\) which with \(k= 1\) yield famous Laguerre polynomials. The author exploits principle of monomiality and a few operational technique to achieve his version of generalization.
Maged G Bin-Saad
exaly   +2 more sources

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On Obtaining Dual Sequences via Quasi-Monomiality

Georgian Mathematical Journal, 2002
Abstract In this paper, we introduce a method to obtain the dual sequence of a given polynomial set using the lowering operator associated with the involved polynomials. As application, we derive polynomial expansions of analytic functions.
Youssèf Ben Cheikh
exaly   +3 more sources

Modified 2D-Complex Hermite Polynomials: Their Quasi-Monomiality and Operational Identities

Journal of Mathematical Analysis and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maged G Bin-Saad
exaly   +3 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.
P E Ricci, G Dattoli
exaly   +2 more sources

Pseudo Laguerre Matrix Polynomials, Operational Identities and Quasi-Monomiality

Advances in Linear Algebra & Matrix Theory, 2018
The main purpose of this paper is to introduce the matrix extension of the pseudo Laguerre matrix polynomials and to explore the formal properties of the operational rules and the principle of quasi-monomiality to derive a number of properties for pseudo Laguerre matrix polynomials.
M A Pathan
exaly   +3 more sources

A Note on the Harmonic Oscillator Group, Quasi-Monomiality and Endomorphisms of the Vector Spaces

Reports on Mathematical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Subuhi Khan, Mahvish Ali
exaly   +2 more sources

Orthogonality of some polynomial sets via quasi-monomiality

Applied Mathematics and Computation, 2003
The authors present sufficient conditions to ensure the orthogonality of some polynomial sets. Let \(\{P_n\}_{n=0}^\infty\) be a polynomial sequence with \(\deg P_n=n\). It was earlier shown [\textit{Y. Ben Cheikh}, Appl. Math. Comput. 141, 63--76 (2003; Zbl 1041.33008)] that there exist a lowering operator \(\sigma\) and raising operator \(\tau ...
H. M. Srivastava 0001, Youssèf Ben Cheikh   +1 more
openaire   +3 more sources

Exponential operators, quasi-monomials and generalized polynomials

Radiation Physics and Chemistry, 2000
Abstract It is shown that the combination of exponential operator techniques and the use of the principle of quasimonomiality can be a very useful tool for a more general insight into the theory of ordinary polynomials and for their extension. We prove the link between Laguerre polynomials and Tricomi functions and study the properties of new classes
G. Dattoli, A. Torre
openaire   +1 more source

Two-Variable q-Laguerre Polynomials From the Context of Quasi-Monomiality

Journal of Mathematical Analysis and Applications
The Laguerre polynomials are a class of important orthogonal polynomials with many applications in a wide variety of fields, including quantum group theory, harmonic oscillator theory, and coding theory. Among such applications, is the expression of covariant oscillator algebra.
Mohammed Fadel, Jian Cao
exaly   +3 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
Cheon-Seoung Ryoo, Waseem Ahmad Khan, Can Kizilateş   +2 more
exaly   +1 more source