8.33 Functional relations involving the gamma function

8.331

1. Γ(x+1)=xΓ(x)si520_e

2. 

Γ(x+a)=(x+a1)Γ(x+a1)=Γ(x+a+1)(x+a)

si521_e

3. 

Γ(xa)=(xa1)Γ(xa1)=Γ(xa+1)(xa)

si522_e

8.332

1. 

|Γ(iy)|2=πysinhπy[yisreal]

si523_e  MO 3

2. 

|Γ(12+iy)|2=πcoshπy[yisreal]

si524_e

3. 

Get Table of Integrals, Series, and Products, 8th Edition now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.