Question

Find the value of gamma 11/6 and gamma 7/8

Answer 1

Answer:

by EW Weisstein · 2002 · Cited by 73 — The gamma function is implemented in the Wolfram Language as Gamma[z]. ... The gamma function can be defined as a definite integral for R[z]>0 ... achieves the value 0.8856031944.

Answer 2

Answer:

The value of gamma 11/6 and gamma 7/8 is 5/6*1/8

Step-by-step explanation:

To identify Gamma function.

Γ(n+1) = n Γ(n)

Where, n: Positive Integer

To identify Gamma function for other integers:

Γ(1/2) = √π

Γ(n/2) = [ 2(1-n) * (n-1)! * √π] / [((n-1)/2)!]

n: positive real number and n should always be greater than 0.

Gamma 11/6

Step 1: Identify whether the number is an integer. In this case, it is not an integer.

Step 2: Apply the simplified version of second formula:

Γ (11/6)  = (s-1) Γ (s-1)

Γ (11/6) = ((11/6)-1) Γ ((11/6)-1)

Γ (11/6) = (5/6) Γ (5/6)

Step 3: Now apply the value for (5/6) in the original equation

Γ (5/6) / Γ (5/6)

= Γ (5/6) / (5/6) Γ (5/6)

Step 4: Cancelling Γ (5/6) as it is part of both numerator and denominator, the final value will be (5/6)

Hence the conclusion for the equation will be Γ (5/6) / Γ (5/6) = (5/6)

Gamma 7/8

Step 1: Identify whether the number is an integer. In this case, it is not an integer.

Step 2: Apply the simplified version of second formula:

Γ (7/8)  = (s-1) Γ (s-1)

Γ (7/8) = ((7/8)-1) Γ ((7/8)-1)

Γ (7/8) = (-1/8) Γ (-1/8)

Step 3: Now apply the value for (-1/8) in the original equation

Γ (1/8) / Γ (1/8)

= Γ (1/8) / (1/8) Γ (1/8)

Step 4: Cancelling Γ (1/8) as it is part of both numerator and denominator, the final value will be (1/8)

Hence the conclusion for the equation will be Γ (1/8) / Γ (1/8) = (1/8)

Reference Link

• https://brainly.in/question/10002153
• https://brainly.in/question/32765108