The asymptotic behaviour of certain entire functions of order zero |
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Authors: | Lothar Berg |
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Affiliation: | (1) Wilhelm-Pieck-Universität, Sektion Mathematik, Universitätsplatz 1, DDR-2500 Rostock, German Democratic Republic |
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Abstract: | Summary A certain class of entire functionsF(s) of order zero which are asymptotically equal to the sum of just two neighbouring terms of their power series when |s| with |args| < – for any fixed > 0, is investigated. Which two terms one has to take, depends upons. It is shown that these functions have infinitely many negative zeros, and the asymptotic behaviour of the zeros is also determined. |
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Keywords: | Primary 41D60 Secondary 30D15 |
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