Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  058.06301
Autor:  Erdös, Pál; Macintyre, A.J.
Title:  Integral functions with gap power series. (In English)
Source:  Proc. Edinb. Math. Soc., II. Ser. 10, 62-70 (1954).
Review:  Let f(z) = sum0oo an z\lambdan, \lambda1 < \lambda2 < ···. One typical best possible result is: the upper limit as r ––> oo of m(r)/M(r) and \mu(r)/M(r) (usual notations) is 1 provided sum0oo {1 \over \lambdan+1-\lambdan} < oo.
Reviewer:  Bø.Kjellberg
Classif.:  * 30B10 Power series (one complex variable)
Index Words:  complex functions

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