what r the uses of beta and gamma function which r used in integral calulus?

Question

please tell me about laplace equation ,poission equation ,heat equation,wave eq.why do we use all these eq.

Answer 1

The gamma function is a component in various probability distribution functions, and as such it is applicable in the fields of probability and statistics.


Beta distributions are used extensively in Bayesian statistics, since beta distributions provide a family of conjugate prior distributions for binomial (including Bernoulli) and geometric distributions.

The Beta distribution can be used to model events which are constrained to take place within an interval defined by a minimum and maximum value. For this reason, the Beta distribution - along with the triangular distribution - is used extensively in PERT, CPM and other project management / control systems to describe the time to completion of a task.