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Relations between the
maximum modulus and maximum term of entire functions
Paul T. Lockhart and Ernst Gabor Straus |
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Vol. 118 (1985), No. 2, 479–485
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Abstract |
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Relations between the maximum modulus M(R) and the maximum term μ(R) of an entire function are investigated. There are no upper bounds for M(R) in terms of functions of R and μ(R) which are valid for all R. There are such bounds as functions of R, 𝜖, μ(R) and μ(R + 𝜖) for all 𝜖 > 0. |
Mathematical Subject Classification 2000
Primary: 30D10
Secondary: 30D15
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Milestones
Received: 25 September 1984
Published: 1 June 1985
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Authors |
| Paul T. Lockhart | |
| Ernst Gabor Straus | |
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