| 11. | For any positive number the gamma function can be written
|
| 12. | The gamma function was also added to the Maple.
|
| 13. | They can be expressed in terms of higher order poly-gamma functions.
|
| 14. | The above equation can be further simplified leveraging the property of gamma function.
|
| 15. | Where ? ( ?) is the gamma function.
|
| 16. | Here, the new factor is proportional to a quotient of gamma functions.
|
| 17. | Euler defined the beta function and the gamma function.
|
| 18. | What is the power series for the gamma function?
|
| 19. | However, the gamma function does not appear to satisfy any simple differential equation.
|
| 20. | The integral on the right hand side may be recognized as the gamma function.
|