The Journal of the Indian Mathematical Society

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On-The Maximum Modulus and the Coefficients of an Entire Series


Affiliations
1 Muslim University, Aligarh, India
2 Luoknow University, India
     

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Let f(z) =Σ∞anZn be an entire function, μ(r) the maximum term of the series for \z\ = r and v(r) its rank. A number of results connecting M(r), μ(r), v(r) and an are known [4, pp. 28-46, 93-106 ; 2, pp. 3-11 ; 3 ; 5] but some of them are true only for functions of finite order.
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  • On-The Maximum Modulus and the Coefficients of an Entire Series

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Authors

S. M. Shah
Muslim University, Aligarh, India
M. Ishaq
Luoknow University, India

Abstract


Let f(z) =Σ∞anZn be an entire function, μ(r) the maximum term of the series for \z\ = r and v(r) its rank. A number of results connecting M(r), μ(r), v(r) and an are known [4, pp. 28-46, 93-106 ; 2, pp. 3-11 ; 3 ; 5] but some of them are true only for functions of finite order.