Computational Methods and Function Theory 1 (2001), No. 2, 595--606
Copyright Heldermann Verlag 2001
Andrii A. Kondratyuk
kond@franko.lviv.ua, Lviv National University, Department of Mathematics, Universytetska Str. 1, 79000 Lviv, Ukraine.
Yaroslav V. Vasyl'kiv
kond@franko.lviv.ua, Lviv National University, Department of Mathematics, Universytetska Str. 1, 79000 Lviv, Ukraine.
The classes $\Lambda$ of meromorphic functions in $\mathbb{C}$ of finite $\lambda$-type were introduced and studied by L.\ A.\ Rubel and B.\ A.\ Taylor. The representation problem for meromorphic functions from $\Lambda$ as quotients of entire functions from $\Lambda$ without common zeroes, the so-called canonical quotient representations, is considered, in this paper. It is shown that this problem reduces to the study of growth majorant properties of entire functions with restrictions on their zero quantities.
Keywords: Entire functions, meromorphic functions, growth estimates, Nevanlinna theory.
MSC 2000: 30Dxx, 30D30.
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