2004Complex Variables Theory and Application An International JournalRequires access

Zeros of higher order logarithmic derivatives

J. D. Hinchliffe

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Abstract

We extend a result of Langley and Shea [J.K. Langley and D. Shea (1998). On multiple points of meromorphic functions. J. London Math. Soc., 57(2), 371–384.] concerning the distribution of zeros of the logarithmic derivative f ′/f to higher order logarithmic derivatives of the form f (k)/f,.

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We extend a result of Langley and Shea [J.K. Langley and D. Shea (1998). On multiple points of meromorphic functions. J. London Math. Soc., 57(2), 371–384.] concerning the distribution of zeros of the logarithmic derivative f ′/f to higher order logarithmic derivatives of the form f (k)/f,.

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Available abstract

We extend a result of Langley and Shea [J.K. Langley and D. Shea (1998). On multiple points of meromorphic functions. J. London Math. Soc., 57(2), 371–384.] concerning the distribution of zeros of the logarithmic derivative f ′/f to higher order logarithmic derivatives of the form f (k)/f,.

Key concepts: Meromorphic function, Logarithm, Mathematics, Logarithmic derivative, Derivative (finance), Order (exchange), Distribution (mathematics), Combinatorics

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