Results 31 to 40 of about 6,739,211 (288)

Harmonic analysis on the quantized Riemann sphere

International Journal of Mathematics and Mathematical Sciences, 1993
We extend the spectral analysis of differential forms on the disk (viewed as the non-Euclidean plane) in recent work by J. Peetre L. Peng G. Zhang to the dual situation of the Riemann sphere S2.
Jaak Peetre, Genkai Zhang
doaj   +1 more source

Integral of Legendre polynomials and its properties [PDF]

Mathematics and Computational Sciences
This paper is concerned with deriving a new system of orthogonal polynomials whose inflection points coincide with their interior roots, primitives of Legendre polynomials.
Abdelhamid Rehouma
doaj   +1 more source

Orthogonal learning particle swarm optimization [PDF]

, 2010
Particle swarm optimization (PSO) relies on its learning strategy to guide its search direction. Traditionally, each particle utilizes its historical best experience and its neighborhood’s best experience through linear summation.
Zhi-hui Zhan, Jun Zhang, Yu-hui Shi, Zhan, Z-H., Yun Li, Li, Y., Shi, Y-H., Zhang, J.   +7 more
core   +1 more source

Change of basis for tridiagonal pairs of type II

Nuclear Physics B
This paper is on the topic of tridiagonal pairs of type II. These involve two linear transformations A and A⋆. We define two bases. In the first one, A acts as a diagonal matrix while A⋆ acts as a block tridiagonal matrix, and in the second one, A acts ...
Nicolas Crampé, Julien Gaboriaud, Satoshi Tsujimoto   +2 more
doaj   +1 more source

Analytical solutions of the quasistatic thermoelasticity task with variable physical properties of a medium

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The high-precision approximate analytic solution of the nonlinear quasi-static problem of thermoelasticity for an infinite hollow cylinder with variable along the radial coordinate physical properties is obtained using the orthogonal Bubnov-Galyorkin ...
Vasiliy A Kudinov, Anastasiya E Kuznetsova, Anton V Eremin, Eugeneya V Kotova   +3 more
doaj   +1 more source

THE PROBLEMS OF COMPUTATION OF COMBINED PLATES WITH PIECEWISE VARIABLE THICKNESS. SOLUTIONS IN ORTHOGONAL POLYNOMIALS

International Journal for Computational Civil and Structural Engineering, 2020
The work is devoted to the analytical simulation of the combined plates calculation. The mentioned plates have the circular form and they consist of separate parts with differentlaws of thickness variation.
Elena Koreneva, Valery Grosman
doaj   +1 more source

Tzitzeica Curves According to Modified Orthogonal Frames

Cumhuriyet Science Journal
This paper explores Tzitzeica curves in three-dimensional Euclidean space through the use of modified orthogonal frames constructed via curvature and torsion functions.
Esra Damar
doaj   +1 more source

ON CONNECTING WEYL-ORBIT FUNCTIONS TO JACOBI POLYNOMIALS AND MULTIVARIATE (ANTI)SYMMETRIC TRIGONOMETRIC FUNCTIONS

Acta Polytechnica, 2016
The aim of this paper is to make an explicit link between the Weyl-orbit functions and the corresponding polynomials, on the one hand, and to several other families of special functions and orthogonal polynomials on the other.
Jiri Hrivnak, Lenka Motlochova
doaj   +1 more source

On Some Relations between the Hermite Polynomials and Some Well-Known Classical Polynomials and the Hypergeometric Function.

مجلة العلوم البحتة والتطبيقية, 2020
The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
doaj   +1 more source

Method for determining eigen numbers in heat conduction problems for a cylinder

Известия высших учебных заведений: Проблемы энергетики, 2023
RELEVANCE. Due to the difficulties of finding eigenvalues and proper functions for bodies with axial (cylinder) and central (ball) symmetries defined in classical methods from the edge Sturm-Liouville problems, including Bessel equations whose exact ...
E. V. Kotova, R. M. Klebleev, V. A. Kudinov   +2 more
doaj   +1 more source