Results 41 to 50 of about 194 (93)

Summation formulae for Gould–Hopper generalized Hermite polynomials

, 2011
In this article, we derive summation formulae for the Gould–Hopper generalized Hermite polynomials gnm(x,y). Further, we derive the summation formulae for polynomials related to gnm(x,y) as applications.
Walid Al-Saad, Mustafa, Khan, Subuhi, Subuhi Khan, Mustafa Walid Al-Saad   +3 more
core   +1 more source

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

Journal of Inequalities and Applications
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan, Shahid Ahmad Wani, Mohammad Ayman-Mursaleen, Ketan Kotecha, Prakash Jadhav   +4 more
doaj   +1 more source

Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus

Mathematics
This article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Can Kızılateş, Cheon Seoung Ryoo   +4 more
doaj   +1 more source

Some unified formulas involving generalized-apostol-typegould-hopper polynomials and multiple power sums

, 2019
The article aims to introduce a new unified class of generalized Apostol type polynomials. Further, under a slight modification on the parameters associated to the generalized Apostol type and generalized Gould-Hopper polynomials and by the use of ...
Araci, Serkan, Wani, Shahid Ahmad, Riyasat, Mumtaz, Khan, Subuhi   +3 more
core   +1 more source

FINDING MIXED FAMILIES OF SPECIAL POLYNOMIALS ASSOCIATED WITH GOULD-HOPPER MATRIX POLYNOMIALS

, 2020
In this article, the general polynomials are taken as base with the Gould-Hopper matrix polynomials to introduce a family of 3-variable general-Gould-Hopper matrix polynomials (3VgGHMaP).
Araci, Serkan, Islahi, Hibah, Yasmin, Ghazala   +2 more
core  

UEG Week 2019 Poster Presentations

, 2019
United European Gastroenterology Journal, Volume 7, Issue S8, Page 189-1030, October 2019.
wiley   +1 more source

Generalized Bessel Functions and Generalized Hermite Polynomials

, 1993
In this note we show that generalized Hermite polynomials of the Gould-Hopper type are linked to the multivariables generalized Bessel functions. We show that such a formalism encompasses both first and second kind Gould-Hopper polynomials and that their
Torre, A., Dattoli, G., Maino, G., Chiccoli, C., Lorenzutta, S.   +4 more
core   +1 more source

Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials

Mathematics
In this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities.
F. Gassem, Abdulghani Muhyi, Hadeel Arwah, Habeeb Ibrahim, Khaled Aldwoah, Amer Alsulami, Mohammed Rabih   +6 more
doaj   +1 more source

UEG Week 2017 Poster Presentations

, 2017
United European Gastroenterology Journal, Volume 5, Issue S5, Page A161-A836, October 2017.
wiley   +1 more source

q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]

, 2016
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang, Loureiro, Ana F., Loureiro, Ana, Ana F. Loureiro, Jiang Zeng, Zeng, J.   +5 more
core   +1 more source