Results 91 to 100 of about 1,365,933 (128)

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

open access: closedAfrika Matematika
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Ramírez, William   +4 more
semanticscholar   +4 more sources

5 The monomiality principle

open access: closed, 2023
Francesco Aldo Costabile   +2 more
openaire   +2 more sources

On discrete Appell polynomials of Apostol-Bernoulli-type polynomials and their patterns of distribution of zeros

Journal of Mathematics and Computer Science
This study introduces a new category of discrete Appell polynomials derived from Apostol-Bernoulli-type polynomials. We derive their generating function, provide explicit formulae, and represent them in matrix form to enhance computational efficiency and
Maria-Fernanda Heredia-Moyano   +4 more
semanticscholar   +1 more source

Algebraic Characterizations and Properties of Bivariate 2D q‐Hermite–Based Appell Sequences

Mathematical methods in the applied sciences
This paper presents a novel family of bivariate two‐dimensional ( 2D$$ 2D $$ ) q$$ q $$ ‐Hermite–based Appell polynomials, introducing their construction along with explicit examples to illustrate their structure.
M. Zayed   +3 more
semanticscholar   +1 more source

Investigating the properties and diverse applications of special polynomials linked to Appell sequences

Boletim da Sociedade Paranaense de Matemática
This paper presents a study that builds upon existing research by generating novel results by applying the monomiality principle. The primary focus of this work is the construction and analysis of Tangent-based Appell polynomials, with a detailed ...
S. Wani   +4 more
semanticscholar   +1 more source

A Comprehensive Study of Δh$$ {\Delta}_h $$‐Truncated Exponential Appell Polynomials: Properties, Fractional Operators, and Computational Aspects

Mathematical methods in the applied sciences
In this article, we introduce a new class of truncated exponential‐based Appell polynomials and investigate their key properties and identities. The study further explores their connection with the monomiality principle, providing a deeper algebraic ...
M. Zayed   +4 more
semanticscholar   +1 more source

Some Properties and Characterizations of Δh-Truncated Exponential based Hermite Polynomials

European Journal of Pure and Applied Mathematics
This article introduces a novel class of $\Delta_h$-truncated exponential-based Hermite polynomials and examine their fundamental properties and structural identities.
H. Qawaqneh   +4 more
semanticscholar   +1 more source

Special Issue Editorial: Theory and Applications of Special Functions II

Symmetry
This Editorial introduces the Symmetry Special Issue “Theory and Applications of Special Functions II” and summarizes the nine contributions collected therein.
Diego Caratelli
semanticscholar   +1 more source

The symbolic approach to study the family of Appell-λ matrix polynomials

Filomat
In this research article, we introduced certain hybrid and matrix special polynomial associated to ? polynomials and established their properties. Further, the monomiality principle and differential equations for these newly introduced hybrid special ...
Umme Zainab, Nusrat Raza
semanticscholar   +1 more source

A degenerate version of hypergeometric Bernoulli polynomials: announcement of results

Communications in Applied and Industrial Mathematics
This article explores some properties of degenerate hypergeometric Bernoulli polynomials, which are defined through the following generating function tmeλx(t)eλx(t)-∑l=0m-1(1)l,λtll!=∑n=0∞Bn,λ[m-1](x)tnn!,    |t|
Yamilet Quintana, William Ramírez
semanticscholar   +1 more source

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