An extremal property on entire functions with positive zeros.

Daniel F. Shea; Allen Weitsman

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Displaying similar documents to “An extremal property on entire functions with positive zeros.”

On entire functions of infinite order

Mansoor Ahmad (1956-1958)

Compositio Mathematica

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The deficiency of entire functions with Fejér gaps

Takafumi Murai (1983)

Annales de l'institut Fourier

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We say that an entire function $f (z) = \sum_{k = 0} a_{k} z^{n_{k}} (0 = n_{0} < n_{1} < n_{2} < ...)$ has Fejér gaps if $\sum_{k = 1}^{\infty} 1 / n_{k} < \infty .$ The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.