05-39.pdf (155.27 kB)
0/0

Normal families and value distribution in connection with composite functions

Download (155.27 kB)
preprint
posted on 22.09.2005 by E.F. Clifford
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.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

158993 bytes

Publication date

2005

Notes

This is a pre-print.

Language

en

Exports

Logo branding

Exports