On linear homogeneous differential equation of Chebyshev type
Eduard Kiriyatzkii
Vilnius Gediminas Technical University
Published 2008-12-21


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.


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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