Let A be a fixed constant positive number and f be an entire function with the property that |f(z)| S A(1z|² + |21) for all complex numbers z. Which among the following is Imie about f(z)? az? + bz + 1 where a and b are constants f(z) is equal to the above O None of these

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A be a fixed constant positive mumber and f be an entire function with the property
that |f (z)| S A(12]² + |zl) for all complex numbers z. Which among the following is
Ime about f(z)?
az? + bz + 1 where a and b are constants
f(z) is equal to the above
O None of these
Transcribed Image Text:Let A be a fixed constant positive mumber and f be an entire function with the property that |f (z)| S A(12]² + |zl) for all complex numbers z. Which among the following is Ime about f(z)? az? + bz + 1 where a and b are constants f(z) is equal to the above O None of these
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