Results 11 to 20 of about 263 (108)

Truncated-exponential-based Frobenius–Euler polynomials [PDF]

Advances in Difference Equations, 2019
In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wiyada Kumam, Hari Mohan Srivastava, Shahid Ahmad Wani, Serkan Araci, Poom Kumam   +4 more
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The Monomiality Principle Applied to Extensions of Apostol-Type Hermite Polynomials

European Journal of Pure and Applied Mathematics
In this research paper, we present a  class of polynomials referred to as Apostol-type Hermite-Bernoulli/Euler polynomials   $\mathcal{U}_\nu(x,y;\rho;\mu)$, which can be given by the following generating function\begin{equation*} \displaystyle \frac{2-\mu+\frac{\mu}{2}\xi}{\rho e^{\xi}+(1-\mu)}e^{x \xi+y \xi^2} =\displaystyle\sum\limits_{\nu=0 ...
Stiven Díaz, William Ramírez, Clemente Cesarano, Juan Hernández, E. Rodríguez   +4 more
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Monomiality principle, operational methods and family of Laguerre–Sheffer polynomials

Journal of Mathematical Analysis and Applications, 2011
The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established.
Subuhi Khan, Nusrat Raza
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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 Ramírez, Clemente Cesarano, Sharyar Wani, Sammer Yousuf, Daniel Bedoya   +4 more
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A determinantal approach to Sheffer–Appell polynomials via monomiality principle

Journal of Mathematical Analysis and Applications, 2014
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
Subuhi Khan, Mumtaz Riyasat
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A note on the monomiality principle and generalized polynomials

Rendiconti di Matematica e delle Sue Applicazioni, 1999
Summary: The monomiality principle is used to state generalized forms of the division algorithm and of the remainder theorem for families of polynomials written as linear combination of Hermite polynomials.
G. Dattoli, Clemente Cesarano, D. Sacchetti   +2 more
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Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials

Mathematical and Computer Modelling, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Dattoli, M. Migliorati, H. M. Srivastava   +2 more
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Introducing Δ h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

Journal of Mathematics and Computer Science
The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler, and Genocchi polynomials, elucidating their specific properties and explicit forms.
William Ramírez, Junaid Nisar, Arundhati Warke, Javid Gani Dar, Zubeer A Rather   +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.
Silvia Noschese
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An exploratory study on bivariate extended $ q $-Laguerre-based Appell polynomials with some applications [PDF]

AIMS Mathematics
In this paper, we employed the $ q $-Bessel Tricomi functions of zero-order to introduce bivariate extended $ q $-Laguerre-based Appell polynomials. Then, the bivariate extended $ q $-Laguerre-based Appell polynomials were established in the sense of ...
Mohra Zayed, Waseem Ahmad Khan, Cheon Seoung Ryoo, Ugur Duran   +3 more
doaj   +3 more sources