Integral Representations

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Integral Representations

In Terms of Elementary Functions

Constraint(s):


Constraint(s):


Constraint(s): &


Constraint(s): &


Constraint(s):


Constraint(s): &


Constraint(s): &
&


Constraint(s):


Constraint(s):


Constraint(s):


Constraint(s):


Constraint(s):


In Terms of Other Functions

Substitution(s):


Constraint(s):


Constraint(s):


Constraint(s): ,


Constraint(s):


Constraint(s):


Constraint(s): &


Contour Integrals

Constraint(s): &

The integration contour is a loop around the negative real axis; it starts at , encircles the origin once in the positive direction without enclosing any of the points

, and returns to


Constraint(s): &

The contour here is any loop that encircles the origin in the positive direction

not enclosing any of the points ,