definition of gamma function
Answers
Answer:
What is gamma function?
The (complete) gamma function is defined to be an extension of the factorial to complex and real number arguments. It is related to the factorial by. (1) a slightly unfortunate notation due to Legendre which is now universally used instead of Gauss's simpler.
In mathematics, the gamma function is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers. For any positive integer n, {\displaystyle \Gamma =!\ .}
What is the gamma formula?
= 1 × 2 × 3 ×⋯× (n − 1) × n. ... 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.