Formula:8433

Digital Library of Mathematical Functions ID 25.14.E1

${\displaystyle{\displaystyle{\Phi\left(z,s,a\right)\equiv\sum_{n=0}^{\infty}\frac{z^{n}}{(a+n)^{s}}},}}$

Constraint(s)

${\displaystyle{\displaystyle\Re s>1,|z|=1}}$
${\displaystyle{\displaystyle|z|<1}}$
${\displaystyle{\displaystyle\Re s>1,|z|=1}}$

Symbols List

• ${\displaystyle{\displaystyle\equiv}}$:
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
• ${\displaystyle{\displaystyle s}}$: complex variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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