Gamma function The gamma function is defined by , for p not equal to zero or a negative integer.a. Use the reduction formula to show that ?(p + 1) = p!(p factorial).________________b. Use the substitution x = u2 and the fact that to show .
SOLUTIONWe know that Step 1(a).we need to use the reduction formula to show that The reduction formula is given by This simply means that Using the same reduction formula we can write Thus on continuing this ,we can write ,where Therefore we have proved that