Results 1 to 10 of about 6,183 (179)

Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions [PDF]

Heliyon
This study introduces a new class of bi-univalent functions in the open disk using q-Borel distribution series and q-Gegenbauer polynomials. It provides estimates for the Taylor coefficients |μ2| and |μ3| for this family of functions, as well as ...
T. Al-Hawary, A. Alsoboh, A. Amourah, O. Ogilat, I. Harny, M. Darus   +5 more
doaj   +4 more sources

Algebraic Generating Functions for Gegenbauer Polynomials [PDF]

, 2017
It is shown that several of Brafman's generating functions for the Gegenbauer polynomials are algebraic functions of their arguments, if the Gegenbauer parameter differs from an integer by one-fourth or one-sixth.
Maier, Robert S.
core   +2 more sources

New fractional-order shifted Gegenbauer moments for image analysis and recognition [PDF]

Journal of Advanced Research, 2020
Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny, Mohamed M. Darwish, Mohamed Meselhy Eltoukhy   +2 more
doaj   +2 more sources

Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials

Mathematics, 2023
In this paper, we consider a novel family of the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials. This family represents a fascinating fusion between two distinct categories of special functions: hypergeometric Bernoulli polynomials and ...
Dionisio Peralta, Yamilet Quintana, Shahid Ahmad Wani   +2 more
exaly   +3 more sources

Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials [PDF]

Journal of Mathematics, 2022
In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad, Syed Ghoos Ali Shah, Saqib Hussain, Maslina Darus, Babar Ahmad   +4 more
doaj   +2 more sources

Coupling coefficients of SO(n) and integrals over triplets of Jacobi and Gegenbauer polynomials [PDF]

, 2003
The expressions of the coupling coefficients (3j-symbols) for the most degenerate (symmetric) representations of the orthogonal groups SO(n) in a canonical basis (with SO(n) restricted to SO(n-1)) and different semicanonical or tree bases [with SO(n ...
, , , , , Abramowitz M, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Baird B, Barut A O, Bateman G, Biedenharn L C, Biedenharn L C, Biedenharn L C, Gasper G, Gavrilik A M, Gavrilik A M, Gel'fand I M, Gel'fand I M, Hormeß M, Izmest'ev A A, Jucys A P, Junker G, Kampé de Fériet J, Kildyushov M S, Klimyk A U, Kuznetsov G I, Kuznetsov G I, Lohe M A, Moshinsky M, Moshinsky M, Norvaisas E, Norvaisas E, Norvaisas E, Quesne C, Sigitas Alisauskas, Slater L J, Srinavasa Rao K, van der Jeugt J, Varshalovich D A, Vilenkin N J, Vilenkin N Ya, Vilenkin N Ya   +49 more
core   +2 more sources

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

Axioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
Ala Amourah, Abdullah Alsoboh, Osama Ogilat   +2 more
exaly   +3 more sources

Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials [PDF]

Mathematics, 2023
Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
doaj   +2 more sources

A derivative-based extension of Gegenbauer polynomials in two variables

Nuclear Physics B
In this paper, a new class of two-variable Gegenbauer-type polynomials is introduced via a derivative-based construction. The definition incorporates an additional variable through finite sums involving higher-order derivatives of classical Gegenbauer ...
Özge Ada, Esra Erkuş-Duman
doaj   +2 more sources

A NEW EXTENSIONS OF GEGENBAUER POLYNOMIALS

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The main aim of this paper is to introduce new extensions of Gegenbauer polynomials of one and two variables by using the extended Gamma function given by Chaudhry and Zubair [3]. Some properties of these extended polynomials such as generating functions,
Ahmed Ali Atash, Ahmed Ali Al-Gonah
doaj   +1 more source