Let A be a fixed constant positive number and f be an entire function with the property that |f (z)| < A(|z]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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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az? + bz + 1 where a and b are constants
f(z) is equal to the above
Transcribed Image Text:az? + bz + 1 where a and b are constants f(z) is equal to the above
Let A be a fixed constant positive number and f be an entire function with the property
that |f (z)| < A(|z]² + ]zl) for all complex numbers z. Which among the following is
true about f(z)?
az³ where a is a constant
f(z) is equal to the above
az² + bz where a and b are constants
O f(z) is equal to the above
O f(z)=sinz+z
None of these
Transcribed Image Text:Let A be a fixed constant positive number and f be an entire function with the property that |f (z)| < A(|z]² + ]zl) for all complex numbers z. Which among the following is true about f(z)? az³ where a is a constant f(z) is equal to the above az² + bz where a and b are constants O f(z) is equal to the above O f(z)=sinz+z None of these
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