On linear homogeneous differential equation of Chebyshev type
Articles
Eduard Kiriyatzkii
Vilnius Gediminas Technical University
Published 2008-12-21
https://doi.org/10.15388/LMR.2008.09
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Keywords

differential equations
divided differences
Chebyshev system
analytic function

How to Cite

Kiriyatzkii E. (2008) “On linear homogeneous differential equation of Chebyshev type”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 54–59. doi: 10.15388/LMR.2008.09.

Abstract

Let L[y] = y(n)(z)+gn-1(z)y(n-1)(z)+. . .+g1(z)y(1)(z)+g0(z)y(z) = 0  be a differential equation of nth order with analytic in circle |z| < R coefficients. We will call above equation by equation of Chebyshev type in |z| < R, if fundamental system of its solution is a Chebyshev system in circle |z| < R . In present paper the conditions with the fulfillment of which the equation L[y] = 0 is of Chebyshev type.

 

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