This article is cited in 3 papers

On the weakened Siegel's conjecture

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)

Abstract: In the paper, we prove that two definitions of $E$-functions present in mathematics are equivalent if $E$-functions satisfy second-order linear differential equations. For this set of functions, a weakened variant of the well-known Siegel conjecture about representability of any $E$-function by a polynomial of hypergeometric functions is also proved.

UDC: 511.36

 English version: Journal of Mathematical Sciences (New York), 2007, 146:2, 5649–5654

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