The Journal of the Indian Mathematical Society

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Relations between the Growths of an Increasing f(x) and fz f(t)lt dt and Applications to Entire Functions


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1 Department of Mathematics, Andhra University, Waltair, India
     

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Let P (z) be a non-constant entire function throughout and let, as usual (Ch. II of [1]), the functions M(r:P) and n (r:P) be the maximum modulus and the counting function of the zeros of P and let μ (r : P) and v (r : P) be the maximum term and its rank, associated with the Maclaurin Expansion of P.
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  • Relations between the Growths of an Increasing f(x) and fz f(t)lt dt and Applications to Entire Functions

Abstract Views: 221  |  PDF Views: 0

Authors

J. Gopala Krishna
Department of Mathematics, Andhra University, Waltair, India

Abstract


Let P (z) be a non-constant entire function throughout and let, as usual (Ch. II of [1]), the functions M(r:P) and n (r:P) be the maximum modulus and the counting function of the zeros of P and let μ (r : P) and v (r : P) be the maximum term and its rank, associated with the Maclaurin Expansion of P.