show-each-of-the-following-functions-a-entire-functions-a-f-z-e-y-sin-x-i-e-y-cos-x-b-f-z-z-2-2-e-x-e-iy-

Tinku Tara June 4, 2023 Limits 0 Comments

Question Number 51218 by gunawan last updated on 25/Dec/18

show each of the following functions a entire functions a. f(z)=e^(−y) sin x−i e^(−y) cos x b. f(z)=(z^2 −2)e^(−x) e^(−iy)

$$\mathrm{show}\:\mathrm{each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{functions}\:\mathrm{a}\:\mathrm{entire}\:\mathrm{functions} \\ $$$$\mathrm{a}.\:{f}\left({z}\right)={e}^{−{y}} \mathrm{sin}\:{x}−{i}\:{e}^{−{y}} \mathrm{cos}\:{x} \\ $$$${b}.\:{f}\left({z}\right)=\left({z}^{\mathrm{2}} −\mathrm{2}\right){e}^{−{x}} {e}^{−{iy}} \\ $$

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