Question

Reduction formula for gamma function is​

Answer 1

Answer:

Γ(x) = Integral on the interval [0, ∞ ] of ∫ 0∞t x −1 e−t dt

Step-by-step explanation:

= 1 × 2 × 3 × 4 × 5 = 120. But this formula is meaningless if n is not an integer. To extend the factorial to any real number x > 0 (whether or not x is a whole number), the gamma function is defined as Γ(x) = Integral on the interval [0, ∞ ] of ∫ 0∞t x −1 e−t dt.

Answer 2

Answer:

= 1 × 2 × 3 × 4 × 5 = 120. But this formula is meaningless if n is not an integer. To extend the factorial to any real number x > 0 (whether or not x is a whole number), the gamma function is defined as Γ(x) = Integral on the interval [0, ∞ ] of ∫ 0∞t x −1 e−t dt.

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