This article is cited in 1 paper

The representation of entire functions by series in solutions of differential equations

Yu. N. Frolov

Bashkir Branch, Academy of Sciences of the USSR

Abstract: An arbitrary entire function with a growth constraint is represented as the limit of a sequence of partial sums of a series comprised of functions of a fundamental system of particular solutions of a differential equation.

UDC: 517.5

Received: 11.06.1973

 English version: Mathematical Notes, 1974, 15:2, 129–132

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