12/06/2020
Tifr 2019
Mathematicas for iit jam/ csir net
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12/06/2020
12/06/2020
12. Let f(z) be an entire function. Show that f(z) is a constant if | f(z)| ≤ ln(|z|+1) for
all z ∈ C.
19. Let f(z) be an entire function satisfying
| f(z1 +z2)| ≤ | f(z1)|+| f(z2)|
for all complex numbers z1 and z2. Show that f(z) is a polynomial of degree at most 1
10/06/2020
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