Results 91 to 100 of about 117,000 (133)

On Generalized Class of Bell Polynomials Associated with Geometric Applications

Axioms
In this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi, Abdulghani Muhyi, Wadia Faid Hassan Al-shameri   +2 more
doaj   +1 more source

Approximation by Operators Including Generalized Appell Polynomials

, 2016
In this work, the problem of the approximation by certain polynomials is addressed. A new type operators sequence including generalized Appell polynomials are defined, qualitative and quantitative approximation theorems are proved. Some explicit examples
Icoz, Gurhan and Varma, Serhan and Sucu, Sezgin, İÇÖZ, GÜRHAN, Varma, Serhan, Varma, S., Sucu, S., Sucu, Sezgin, İçöz, G.   +6 more
core   +1 more source

ON THE STRUCTURE OF 𝐷_𝑊 -APPELL DUNKL CLASSICAL ORTHOGONAL POLYNOMIALS

Проблемы анализа
In this paper, we investigate a class of classical orthogonal polynomials associated with the 𝐷_𝑤-Dunkl operator. This class is defined via a lowering operator that combines the discrete translation operator with a reflection-invariant component.
J. Souissi, K. A. Alanezy
doaj   +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

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

A New Generalization of Legendre-Based Appell Polynomials with Two Parameters and Their Applications

Axioms
In the present work, we introduce and study a new two-parameter generalization of Legendre-based Appell polynomials, defined through an explicit representation that unifies classical Legendre structures with the Appell polynomial framework. Starting from
Ghaliah Alhamzi, Georgia Irina Oros, Mdi Begum Jeelani, Kalika Prasad, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials. [PDF]

J Inequal Appl, 2017
Neer T, Agrawal PN.
europepmc   +1 more source

Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type. [PDF]

J Inequal Appl, 2017
Sidharth M, Agrawal PN, Araci S.
europepmc   +1 more source

THE POWER COLLECTION METHOD FOR CONNECTION RELATIONS: MEIXNER POLYNOMIALS. [PDF]

J Class Anal, 2017
Baeder MA, Cohl HS, Costas-Santos RS, Xu W.   +3 more
europepmc   +1 more source

Introducing ∆h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

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,
Nisarc, Junaid, Ramirez, William, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
core   +1 more source