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Normality and exceptional values of derivatives |
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| Authors: | Walter Bergweiler |
| Institution: | Mathematisches Seminar, Christian--Albrechts--Universität zu Kiel, Ludewig--Meyn--Str. 4, D--24098 Kiel, Germany |
| Abstract: | We show that a family |
| Keywords: | |
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of functions meromorphic in some domain is normal, if for all 
the derivative 
omits the value 
and if the values that 
can take at the zeros of 
satisfy certain restrictions. As an application we obtain a new proof of a theorem of Langley which classifies the functions 
meromorphic in the plane such that 
and 
have no zeros.