Let A be a fixed constant positive number and f be an entire function with the property that |f (z)|S A(Iz]² + [z]) for all complex numbers z. Which among the following is true about f(z)?

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 number and f be an entire function with the property
that |f (z)| S A(Iz|² + [z]) for all complex numbers z. Which among the following is
true about f(z)?
az3 where a is a constant
O f(z) is equal to the above
O f(z) =sinz+z
az? + bz where a and b are constants
az? + bz + 1 where a and b are constants
f(z) is equal to the above
f(z) is equal to the above
Transcribed Image Text:Let A be a fixed constant positive number and f be an entire function with the property that |f (z)| S A(Iz|² + [z]) for all complex numbers z. Which among the following is true about f(z)? az3 where a is a constant O f(z) is equal to the above O f(z) =sinz+z az? + bz where a and b are constants az? + bz + 1 where a and b are constants f(z) is equal to the above f(z) is equal to the above
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