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QUESTION

Hello, is there any formula for inverse of gamma

Hello, is there any formula for inverse of gamma function?

a formula which is not approximately and without infinite polynomial series, please.

thanks

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ANSWER

Tutor has posted answer for $15.00. See answer's preview

$15.00

** have *** ***** function ***** *** * ****** ********** form ** ** *** know

*************************************************************************************************************

*****

satisfies

** *************************************************** *** *** various ********** relations ** **** **** the ***** function is ********** on *** ****************************************************

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ANSWER

Tutor has posted answer for $1.00. See answer's preview

$1.00

** have *** ***** function ***** *** a ****** elementary **** ** ** all *****

Γ(z)=∫∞0e−ttz−1dt=∫10[ln(t−1)]z−1Γ(z)=∫0∞e−ttz−1dt=∫01[ln⁡(t−1)]z−1

*****

*********

of ******************************************************************** *** *** various recurrence relations *** ***** ********** **** ** *** *** **** ** ** ********* ** mathwolrd ** wherever ** note that *** ***** function ** increasing ** *** ************************************************************** *** ********

*******

** **** up with ** ******** inverse ******** ** the ***** ******** ** **** ******** ***** ***** similarly ******** My ********** **

***

**** were ** write down * ************ equation **** the inverse ***** satisfy *** solve ** ***** * ***** do ** terms ** a ***** ****** expansion ****** ** **** ****** ignoring *** ****** ** ************ ** *** an *********** solution But * *** ***** able to get a **** nice ******* or exact ******** * **** * *** **** sophisticated ****** *** ** ** **** *** * would ** interested ** *** *** ****** **** more experience **** ***** ***** ** ********* would ** ***** ********* ***** *** ***** ******** ****

*********

a ********** ****** of ******** interesting ******* functional ********* likeΓ(z)Γ(1−z)=π/sin(πz)Γ(z)Γ(1−z)=π/sin⁡(πz) **** *** ******* ******** satisfy *** ******* **********

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