Results 21 to 30 of about 441,925 (264)

Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials

Journal of Mathematics, 2022
In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial
Isra Al-Shbeil, Abbas Kareem Wanas, Abdelkader Benali, Adriana Cătaş   +3 more
doaj   +2 more sources

On the asymptotic expansion of the entropy of Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J.F. Sánchez-Lara
openalex   +3 more sources

On Mittag-Leffler-Gegenbauer polynomials arising by the convolution of Mittag-Leffler function and Hermite polynomials

AIMS Mathematics
Gegenbauer polynomials hold a significant role in the constructive theory of spherical functions, while the Mittag-Leffler function is widely used in fractional calculus.
Mohra Zayed, Maged G. Bin-Saad, Waleed K. Mohammed   +2 more
doaj   +2 more sources

Exceptional Gegenbauer polynomials via isospectral deformation

Studies in Applied Mathematics, 2021
AbstractIn this paper, we show how to construct exceptional orthogonal polynomials (XOP) using isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, where repeated factorizations at the same eigenvalue are allowed. These factorizations allow us to construct Sturm–Liouville problems
María Ángeles García‐Ferrero, David Gómez‐Ullate, Robert Milson, James D Munday   +3 more
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Generalized and mixed type Gegenbauer polynomials

Journal of Mathematical Analysis and Applications, 2012
AbstractIn this paper, a new generalized form of the Gegenbauer polynomials is introduced by using the integral representation method. Further, the Hermite–Gegenbauer and the Laguerre–Gegenbauer polynomials are introduced by using the operational identities associated with the generalized Hermite and Laguerre polynomials of two variables.
Subuhi Khan, Ahmed Ali Al-Gonah, Ghazala Yasmin   +2 more
openalex   +3 more sources

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

arXiv.org
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\^
F. Zotter
semanticscholar   +3 more sources

On an umbral treatment of Gegenbauer, Legendre and Jacobi polynomials [PDF]

International Mathematical Forum, 2017
Special polynomials, ascribed to the family of Gegenbauer, Legen- dre, and Jacobi and of their associated forms, can be expressed in an operational way, which allows a high degree of flexibility for the for- mulation of the relevant theory. We develop a point of view based on an umbral type formalism, exploited in the past, to study some aspects of the
G. Dattoli, B. Germano, Silvia Licciardi, M. R. Martinelli   +3 more
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Fekete-Szegö Functional of a Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials

European Journal of Pure and Applied Mathematics
In this paper, we introduce and investigate a class of bi-univalent functions, denoted by $\mathcal{F}(n, \alpha, \beta)$, that depends on the Ruscheweyh operator.
Waleed AlRawashdeh
semanticscholar   +3 more sources

Direct integral pseudospectral and integral spectral methods for solving a class of infinite horizon optimal output feedback control problems using rational and exponential Gegenbauer polynomials [PDF]

Mathematics and Computers in Simulation, 2023
Kareem T. Elgindy, Hareth M. Refat
semanticscholar   +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