One generalization of the classical orthogonal polynomials

Abstract

The differential equation of the second order, generalizing the differential equations leaded to Jacobi, Laguerre and Hermite polynomials, is considered in the paper. The orthogonality of the polynomials, which are the solutions of the equation, is proved.

Authors and Affiliations

V. Ye. Kruglov

Keywords

Related Articles

ON A STRESS–STATE OF AN ELASTIC SEMI–STRIP UNDER MECHANICAL AND THERMAL STRESSES

The new methodic of plane elasticity problems’ solving for the semi-infinite strip under the mechanical and thermal pressures is considered in the article. The sense of it is the applying of the integral Fourier transfor...

Nonlinear observer for system of the Van der Pol oscillators

The problem of velocities determination for interconnected Van der Pole oscillators by known data is considered as observation problem. Such systems arise on modelling of many cyclical biological or physical processes. A...

SUPERSINGULARITY OF ELLIPTIC AND EDWARDS CURVES OVER Fpn

We consider the algebraic curves which have form of Edwards and elliptic curves with coordinates in Fnp. These curves are most effective support for a cyclic group of points which have many applications now. In this pape...

ON A REDUCTION OF A LINEAR HOMOGENEOUS DIFFERENTIAL SYSTEM WITH OSCILLATING COEFFICIENTS TO A SYSTEM WITH SLOWLY VARYING COEFFICIENTS IN RESONANCE CASE

For the linear homogeneous differential system, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, conditions of existence of the l...

Reverse practical stabilization method for discrete linear systems

In the article the question of practical stabilization of discrete control systems is considered. The concept of potentially weakly stable sets for discrete inclusions is introduced. The reverse stabilization method for...

Download PDF file
  • EP ID EP190749
  • DOI -
  • Views 78
  • Downloads 0

How To Cite

V. Ye. Kruglov (2016). One generalization of the classical orthogonal polynomials. Дослідження в математиці і механіці, 21(1), 23-30. https://europub.co.uk/articles/-A-190749