Beta Function from Reduction Formulae (Mathematics)
About this course
Beta FunctionDefinition of Beta function Introduction to Beta functionBeta Function from Reduction formulaeExamples on Beta functionPractice questionsSolved examples on Beta function with explanationPPT videos on each TOPICRelation between on Beta and Gamma function Beta function is discussed from reduction formulae. In that there are some examples which cannot be discussed with reduction formulae. It has some limitation of reduction formulae. So, we are using Beta function in that case.The beta function is a mathematical function that is used to calculate probabilities and determine how likely two events are to happen at the same time. It is also used in mathematical statistics and probability theory.The beta function is closely related to the gamma function and binomial coefficients. It is also known as the Euler integral of the first kind.The beta function is used in many mathematical operations, including string theory, where it is used to compute scattering amplitudes. It is also used as a normalizing constant in the probability density functions of the F distribution and of the student's t distribution.The beta function was studied by Leonhard Euler and Adrien-Marie Legendre and was given its name by Jacques Binet.Beta
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What you'll learn
- understand the definition and purpose of the Beta function
- apply reduction formulae to solve problems involving the Beta function
- explore the relationship between the Beta and Gamma functions
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