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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/478

Title: Normal families and value distribution in connection with composite functions
Authors: Clifford, E.F.
Keywords: normal families
value distribution
composite functions
Nevanlinna theory
Issue Date: 2005
Abstract: This paper concerns composite functions of the form f(g(z)) where f is a transcendental entire function of order less than 1/2, (that is, an analytic function which is not a polynomial and which grows at a certain rate), and g(z) is a nonconstant polynomial. We prove a value distribution result for the derivatives of a function of this form. This result has several interesting corollaries. Furthermore, we use it to prove a new criterion for normal families.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/478
Appears in Collections:Pre-prints (Maths)

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