lugreget9

2021-12-14

Find the standard factorization of the entire function $f\left(z\right)=\mathrm{cos}\sqrt{z}$

Mason Hall

Beginner2021-12-15Added 36 answers

Step 1

To find standard factorization of entire function

$f\left(z\right)=\mathrm{cos}\sqrt{z}$

Step 2

Let z=x+iy

$f\left(z\right)=f(x+iy)=\mathrm{cos}\left(\sqrt{x+iy}\right)$

$\sqrt{x+iy}=\sqrt{{x}^{2}+{y}^{2}}$

$f(x+iy)=\mathrm{cos}\left(\sqrt{{x}^{2}+{y}^{2}}\right)$ .

To find standard factorization of entire function

Step 2

Let z=x+iy

Archie Jones

Beginner2021-12-16Added 34 answers

Step 1

Using the Eulers

Using the Eulers

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