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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1968 Volume 4, Issue 5, Pages 579–588 (Mi mzm6777)

This article is cited in 5 papers

The representation of integral functions by series of the form $\sum_{n=1}^\infty\,\alpha_n f(\lambda_n z)$

V. I. Shevtsov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: The necessary and sufficient conditions that an integral function, whose order satisfies certain conditions, should be represented by a series of integral functions of the form $f(\lambda_nz)$ are indicated.

UDC: 517.5

Received: 07.12.1967


 English version:
Mathematical Notes, 1968, 4:5, 838–843

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