Vol. 118, No. 2, 1985

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Utterly integer valued entire functions. I

Daihachiro Sato

Vol. 118 (1985), No. 2, 523–530
Abstract

An entire function f(z) is called utterly integer valued if f(x) and all its derivatives assume integer values for all integer z. A historical survey of the theory of such functions is given, and a new class of them is constructed. There is no utterly integer valued entire functions of finite order except polynomials.

Mathematical Subject Classification 2000
Primary: 30D20
Milestones
Received: 24 October 1984
Published: 1 June 1985
Authors
Daihachiro Sato