let-w-e-ipi-4-1-i-2-show-that-1-1-i-erf-wx-pi-2-0-x-e-i-t-2-pi-2-dt-c-x-is-x-

Question Number 173116 by ali009 last updated on 06/Jul/22

l e t w = e^{i π / 4} = (1 + i) / \sqrt{2} s h o w t h a t :

\frac{1}{1 + i} e r f (w x \sqrt{\frac{π}{2}}) = \int_{0}^{x} e^{- i t^{2} π / 2} d t = c (x) - i s (x)

Commented by ali009 last updated on 06/Jul/22

n o t e / c (x) a n d s (x) a r e f r e s n e l i n t e g r a l s

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