Results 51 to 60 of about 441,925 (264)
Onset of Convection in Rotating Spherical Shells: Variations With Radius Ratio
Earth and Space Science, Volume 10, Issue 1, January 2023., 2023 Abstract Convection in rotating spherical layers of fluid is ubiquitous in spherical astrophysical objects like planets and stars. A complete understanding of the magnetohydrodynamics requires understanding of the linear problem—when convection onsets in these systems.
A. Barik +4 more
wiley +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
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
Journal of Applied Mathematics, Volume 2023, Issue 1, 2023., 2023 The transient creeping motion of two rigid spheres oscillating in a boundless viscous fluid beneath the impact of the magnetic field is investigated. There is no slippage associated with a Stokes flow on the two rigid spherical surfaces with different sizes and radii.
Shreen El-Sapa +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 +2 more
doaj +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
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
Matrix Gegenbauer Polynomials: the $2\times 2$ Fundamental Cases [PDF]
, 2015 In this paper, we exhibit explicitly a sequence of $2\times2$ matrix valued orthogonal polynomials with respect to a weight $W_{p,n}$, for any pair of real numbers $p$ and $n$ such that ...
Pacharoni, Inés, Zurrián, Ignacio
core +3 more sources
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 +3 more
doaj +1 more source
Axioms, 2023 The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials.
Yahya Almalki +4 more
semanticscholar +1 more source