This article is cited in 11 papers

Expansions in series of appell polynomials

Yu. A. Kaz'min

M. V. Lomonosov Moscow State University

Abstract: We consider questions connected with the problem of expanding an entire function in a series of Appell polynomials $\{P_n(t)\}$, when the entire function is of growth no higher than first order and of normal type $\sigma$, under the assumption that certain functions $A(t)$ and $B(t)$ are regular in the disc $t<\sigma$.

UDC: 517.6

Received: 15.01.1968

 English version: Mathematical Notes, 1969, 5:5, 304–311

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