Question

Write the Properties Of Gamma Function

Answer 1

Answer:

Similarly, using a technique from calculus known as integration by parts, it can be proved that the gamma function has the following recursive property: if x > 0, then Γ(x + 1) = xΓ(x). From this it follows that Γ(2) = 1Γ(1) = 1; Γ(3) = 2 Γ(2) = 2 × 1 = 2!; Γ(4) = 3Γ(3) = 3 × 2 × 1 = 3!; and so on.

Step-by-step explanation:

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Answer 2

Answer:

Similarly, using a technique from calculus known as integration by parts, it can be proved that the gamma function has the following recursive property: if x > 0, then Γ(x + 1) = xΓ(x). From this it follows that Γ(2) = 1 Γ(1) = 1; Γ(3) = 2 Γ(2) = 2 × 1 = 2!; Γ(4) = 3 Γ(3) = 3 × 2 × 1 = 3!; and so on.

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