Entire functions of exponential type represented by using the gamma function
type: Item
instance of: scholarly article
title: Entire functions of exponential type represented by using the gamma function
zbMATH Open document ID: 1148.30010
DOI: 10.1134/S1064562406050334
author: V. V. Napalkov
author: S. G. Merzlyakov
published in: Doklady Mathematics
publication date: 2008-03-13T00:00:00Z
review text: Let \(\Gamma\) be the Euler function and \(\varphi(z)=(\prod_{j=1}^k\Gamma(a_jz+b_j))^{-1}\). The authors obtain conditions for \(\varphi\) to be an entire function of exponential type and determine its growth indicatrix. They suggest a new method for constructing an entire function with a given conjugate diagram. Earlier a similar result was proved by a different method by A.~F.~Leont'ev.
reviewed by: Samyon R. Nasyrov
Mathematics Subject Classification ID: 30D15
Mathematics Subject Classification ID: 30D10
zbMATH DE Number: 5249320
zbMATH Keywords: growth indiatrix
zbMATH Keywords: conjugate diagram
MaRDI profile type: Publication
cites work: Q5835645
full work available at URL: s1064562406050334
OpenAlex ID: W1986029161
description: scientific article