Results 11 to 20 of about 438,335 (228)

An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions. [PDF]

Heliyon
Hussen A.
europepmc   +3 more sources

On the L 2 -norm of Gegenbauer polynomials. [PDF]

Math Sci (Karaj), 2022
AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.
Ferizović D.
europepmc   +6 more sources

Gegenbauer polynomials and the Fueter theorem [PDF]

Complex Variables and Elliptic Equations, 2013
The Fueter theorem states that regular (resp. monogenic) functions in quaternionic (resp. Clifford) analysis can be constructed from holomorphic functions in the complex plane, hereby using a combination of a formal substitution and the action of an appropriate power of the Laplace operator.
David Eelbode, Vladimı́r Souček, P. Van Lancker   +2 more
openalex   +5 more sources

Generalized Gegenbauer orthogonal polynomials

Journal of Computational and Applied Mathematics, 2001
The aim of the author is to give a characterization of the so-called generalized Gegenbauer polynomials. He first shows the link between this functions and the classical Jacobi polynomials. Then he establishes both a differential-difference and a second order differential equation satisfied by these generalized polynomials.
S. Belmehdi
openalex   +4 more sources

Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials

Issues of Analysis, 2022
. Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in D = { z ∈ C : | z | < 1 } linked with Gegenbauer polynomials.
Sondekola Rudra Swamy, Sibel Yalçın
semanticscholar   +3 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

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

Information entropy of Gegenbauer polynomials of integer parameter [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
19 pages, 1 Postscript ...
Julio I. de Vicente, Silvia Gandy, Jorge Sánchez-Ruiz   +2 more
openalex   +7 more sources

QCD analysis of $xF_3$ structure functions in deep-inelastic scattering: Mellin transform by Gegenbauer polynomial up to N$^3$LO approximation [PDF]

Physical Review C
This paper provides a thorough examination of the $xF_3$ structure functions in deep-inelastic scattering through a comprehensive QCD analysis. Our approach harnesses sophisticated mathematical techniques, namely the Mellin transform combined with ...
F. Arbabifar, Nader Morshedian, Leila Ghasemzadeh, S. Atashbar Tehrani   +3 more
openalex   +3 more sources

The orthogonal polynomials method using Gegenbauer polynomials to solve mixed integral equations with a Carleman kernel

AIMS Mathematics
The orthogonal polynomials approach with Gegenbauer polynomials is an effective tool for analyzing mixed integral equations (MIEs) due to their orthogonality qualities.
Ahmad Alalyani, M. A. Abdou, M. Basseem
openalex   +2 more sources