Results 11 to 20 of about 81,289 (199)

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

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   +2 more
doaj   +2 more sources

Ultraspherical/Gegenbauer polynomials to unify 2D/3D Ambisonic directivity designs [PDF]

arXiv
This report on axisymmetric ultraspherical/Gegenbauer polynomials and their use in Ambisonic directivity design in 2D and 3D presents an alternative mathematical formalism to what can be read in, e.g., my and Matthias Frank's book on Ambisonics or J\'er\^ome Daniel's thesis, Gary Elko's differential array book chapters, or Boaz Rafaely's spherical ...
Franz Zotter
arxiv   +3 more sources

Enhancing low-light images using Sakaguchi type function and Gegenbauer polynomial. [PDF]

Sci Rep
Sundari KS, Keerthi BS.
europepmc   +2 more sources

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   +2 more sources

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

Heliyon
Al-Hawary T, Alsoboh A, Amourah A, Ogilat O, Harny I, Darus M.   +5 more
europepmc   +2 more sources

Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]

Journal of Mahani Mathematical Research, 2023
The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
doaj   +1 more source

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
doaj   +1 more source

A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS

Ural Mathematical Journal, 2023
In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
doaj   +1 more source

RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Проблемы анализа, 2020
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
doaj   +1 more source