Question

Study of Beta and Gamma function is important for Engineering. Justify this statement in 200 words. I will follow him. ; )

Answer 1

Answer:

In mathematics, the gamma function (represented by {\displaystyle \Gamma ,}{\displaystyle \Gamma ,} the capital letter gamma from the Greek alphabet) 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 {\displaystyle n,}{\displaystyle n,}

{\displaystyle \Gamma (n)=(n-1)!\ .}{\displaystyle \Gamma (n)=(n-1)!\ .}

Derived by Daniel Bernoulli, for complex numbers with a positive real part the gamma function is defined via a convergent improper integral:

Step-by-step explanation:

Answer 2

Answer:

Answer is here:-

While the gamma function behaves like a factorial for natural numbers (a discrete set), its extension to the positive real numbers (a continuous set) makes it useful for modeling situations involving continuous change, with important applications to calculus, differential equations, complex analysis, and statistics. So, it is importannt for engineering in this manner.

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