Starting-from-substituting-z-x-iy-Identify-the-maximal-region-within-which-f-z-is-analytic-f-z-1-z-z-1-Note-Do-not-start-by-just-differentiating-f-z-Start-by-doing-a-substitution-of-x-

Question Number 201683 by aurpeyz last updated on 10/Dec/23

S t a r t i n g f r o m s u b s t i t u t i n g z = x + i y . I d e n t i f y

t h e m a x i m a l r e g i o n w i t h i n w h i c h f (z) i s a n a l y t i c

f (z) = \frac{1}{z (z + 1)} .

N o t e . D o n o t s t a r t b y j u s t d i f f e r e n t i a t i n g f (z) .

S t a r t b y d o i n g a s u b s t i t u t i o n o f x a n d i y a n d

t h e n v e r i f y C a u c h y R i e m a n t h e o r e m .

Commented by aurpeyz last updated on 10/Dec/23

p l s h e l p

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