Results 41 to 50 of about 446,531 (268)

Certain Subclasses of Analytic and Bi-Univalent Functions Governed by the Gegenbauer Polynomials Linked with q-Derivative

Symmetry, 2023
In this paper, we introduce and investigate two new subclasses of analytic and bi-univalent functions using the q-derivative operator ...
S. Kazımoğlu, E. Deniz, Luminița-Ioana Cotîrlă   +2 more
semanticscholar   +1 more source

Some relations on Humbert matrix polynomials [PDF]

Mathematica Bohemica, 2016
The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
doaj   +1 more source

Electromagnetic scattering of H‐polarised cylindrical wave by a double‐sided impedance circular strip

IET Microwaves, Antennas &Propagation, Volume 17, Issue 15, Page 1093-1105, December 2023., 2023
The authors investigate the line source diffraction by a circular strip with different impedance value on inner and outer surfaces. As it is noticed, the resonance value becomes higher for the boundary condition corresponding to material in between PEC and PMC.
Vasil Tabatadze, Ömer Faruk Alperen, Kamil Karaçuha   +2 more
wiley   +1 more source

An Operational Matrix Method Based on the Gegenbauer Polynomials for Solving a Class of Fractional Optimal Control Problems [PDF]

International Journal of Industrial Electronics, Control and Optimization, 2021
One of the most important classes of fractional calculus is the fractional optimal control problem (FOCP), which arises in engineering. This study presents a direct and efficient numerical method for solving a class of (FOCPs) in which the fractional ...
Farzaneh Soufivand, Fahimeh Soltanian, Kamal Mamehrashi   +2 more
doaj   +1 more source

Applications of Gegenbauer Polynomials for Subfamilies of Bi-Univalent Functions Involving a Borel Distribution-Type Mittag-Leffler Function

Symmetry, 2023
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler functions is introduced using Hadamard products or convolutions.
Abdullah Alatawi, M. Darus, Badriah A. S. Alamri   +2 more
semanticscholar   +1 more source

One-Step Recurrences for Stationary Random Fields on the Sphere [PDF]

, 2016
Recurrences for positive definite functions in terms of the space dimension have been used in several fields of applications. Such recurrences typically relate to properties of the system of special functions characterizing the geometry of the underlying
Beatson, R. K., Castell, W. zu
core   +1 more source

Gegenbauer polynomials for certain subclasses of Bazilevic functions associated with a generalized operator defined by convolution

Gulf Journal of Mathematics, 2023
In this paper, a class Gη_1,η_2β(α,t), consisting of Bazilevic functions of type α and involving a certain generalized differential operator is defined by means of Gegenbauer polynomials.
E. Oyekan
semanticscholar   +1 more source

Some results for sums of products of Chebyshev and Legendre polynomials

Advances in Difference Equations, 2019
In this paper, we perform a further investigation of the Gegenbauer polynomials, the Chebyshev polynomials of the first and second kinds and the Legendre polynomials.
Yuan He
doaj   +1 more source

Generalized Mixed Type Bernoulli-Gegenbauer Polynomials

Kragujevac Journal of Mathematics, 2023
The generalized mixed type Bernoulli-Gegenbauer polynomials of order α >−1/2 are special polynomials obtained by use of the generating function method.
Yamilet Quintana
semanticscholar   +1 more source

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Advances in Difference Equations, 2019
In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy   +3 more
doaj   +1 more source