Is this question incomplete? Regarding entire functions...

  • #1
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Homework Statement


Let ##F## be an entire function such that ##\exists## positve constants ##c## and ##d## where ##\vert f(z)\vert \leq c+d\vert z\vert^n, \forall z\in \Bbb{C}##.

Is this question incomplete? My complex analysis course is not rigorous at all and this came up on a past final exam. Can anyone help me piece this question together? Or tell me what it could possibly be asking? Thanks.

Homework Equations


Hints: Use Cauchy's Inequality and Maclaurin Series of ##f##.

The Attempt at a Solution

 

Answers and Replies

  • #2
Dick
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Homework Helper
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Homework Statement


Let ##F## be an entire function such that ##\exists## positve constants ##c## and ##d## where ##\vert f(z)\vert \leq c+d\vert z\vert^n, \forall z\in \Bbb{C}##.

Is this question incomplete? My complex analysis course is not rigorous at all and this came up on a past final exam. Can anyone help me piece this question together? Or tell me what it could possibly be asking? Thanks.

Homework Equations


Hints: Use Cauchy's Inequality and Maclaurin Series of ##f##.

The Attempt at a Solution

I'd guess they probably want you to show that ##f(z)## is a polynomial.
 
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