Results 91 to 100 of about 1,071,338 (106)

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

Sheffer Polynomials, Monomiality Principle, Algebraic Methods and the Theory of Classical Polynomials

Mathematical and Computer Modelling, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mauro Migliorati, H M Srivastava, G Dattoli   +2 more
exaly   +2 more sources

A Determinantal Approach to Sheffer–Appell Polynomials via Monomiality Principle

Journal of Mathematical Analysis and Applications, 2015
The authors have combined the Appell and Sheffer polynomials to introduce Sheffer-Appell polynomials by means of generating function, series definition and determinantal definition. Since any sequence of polynomials is quasi-monomial [\textit{Y. Ben Cheikh}, Appl. Math. Comput. 141, No. 1, 63--76 (2003; Zbl 1041.33008)], the quasi-monomiality operators
Mumtaz Riyasat, Subuhi Khan
exaly   +3 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
exaly   +1 more source

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5 The Monomiality Principle

2023
exaly   +2 more sources

About Properties and the Monomiality Principle of Bell-Based Apostol-Bernoulli-Type Polynomials

Carpathian Mathematical Publications
This article investigates the properties and monomiality principle within Bell-based Apostol-Bernoulli-type polynomials. Beginning with the establishment of a generating function, the study proceeds to derive explicit expressions for these polynomials, providing insight into their structural characteristics.
William Ramirez, Saleem Yousuf, C Cesarano   +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
Cheon-Seoung Ryoo, Waseem Ahmad Khan, Can Kizilateş   +2 more
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
openaire   +2 more sources

Monomiality and Partial Differential Equations

Mathematical and Computer Modelling, 2009
P E Ricci, G Dattoli
exaly  

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

Journal of Mathematical Analysis and Applications, 2006
Maged G Bin-Saad
exaly