An addition to the \(\cos\pi\rho\)-theorem for subharmonic and entire functions of zero lower order (Q2758989)
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scientific article; zbMATH DE number 1680649
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An addition to the \(\cos\pi\rho\)-theorem for subharmonic and entire functions of zero lower order |
scientific article; zbMATH DE number 1680649 |
Statements
10 December 2001
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subharmonic function
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\(\cos\pi\rho\)-theorem
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entire function
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minimum modulus
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order of growth
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An addition to the \(\cos\pi\rho\)-theorem for subharmonic and entire functions of zero lower order (English)
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The author has considered subharmonic functions of zero-lower order. For such functions he has established an asymptotic connection between the infimum and maximum on a circle outside of any exceptional set (Theorem 1). In Theorem 2 he has shown the sharpness of such relation in some subclass of entire functions of zero-order.
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