Beta Function

Beta function
Beta function
Some standard results:
  1. Symmetry : Put x=1-y
  2. Beta function in terms of trigonometric functions :
  3. Beta function expressed as improper integral :
  4. Relation between beta and gamma functions :
  5. where 0<p<1
    • if p is an even positive integer
    • if p is an odd positive integer
  6. for m, n positive integers

Example-1:
Explanation :

Example-2:
Explanation :

Example-3:
Explanation :