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Accumulation Rate of Zeros of the Successive Derivatives of Meromorphic Functions
Author(s) -
Gethner Robert M.
Publication year - 1986
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-33.2.294
Subject(s) - meromorphic function , complex plane , mathematics , function (biology) , plane (geometry) , pure mathematics , mathematical analysis , geometry , evolutionary biology , biology
Let f be a function meromorphic in the complex plane having at least two poles. Pölya has shown that the zeros of f ( k ) accumulate at certain points as K → ∞. We estimate the rate of accumulation.