Results 31 to 40 of about 23,517 (257)

q-Sumudu Transforms of q-Analogues of Bessel Functions

The Scientific World Journal, 2014
The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed.
Faruk Uçar
doaj   +1 more source

Estimation of Truncation Error in Statistical Description of Communication Signals over mm-Wave Channels

Axioms, 2022
This paper presents an illustration of how knowledge from the field of special functions, orthogonal polynomials and numerical series can be applied to solve a very important problem in the field of modern wireless communications. We present the formulas
Zvezdan Marjanović, Dejan N. Milić, Goran T. Đorđević   +2 more
doaj   +1 more source

Orthogonal Basis Functions over the Binocular Pupil

Open Astronomy, 2010
Sets of orthogonal basis functions over circular areas - pupils in optical applications - are known in the literature for the full circle (Zernike or Jacobi polynomials) and the annulus.
Mathar Richard J.
doaj   +1 more source

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

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