Entire functions of exponential type represented by using the gamma function
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.
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