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Vijay posted an Question

May 29, 2021 • 12:38 pm

30 points

IIT JAM
Mathematics (MA)

Please send the solution to the problem given in the attachment.

please send the solution to the problem given in the attachment.

3 Answer(s)

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Sankit das

this is the basic need of Gamma function as given below . And from we can use Gamma function as many ways . Recommendations on you tube . I have learnt from there
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Sankit das

see this it's an property of Gamma function see this proof of property
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A
Abhishek tripathi 1 Best Answer

see...
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what does gamma function do?
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The definition of the gamma function is very complex. It involves a complicated looking formula that looks very strange. The gamma function uses some calculus in its definition, as well as the number e Unlike more familiar functions such as polynomials or trigonometric functions, the gamma function is defined as the improper integral of another function.The gamma function shows up in many, seemingly unrelated, fields of mathematics. In particular, the generalization of the factorial provided by the gamma function is helpful in some combinatorics and probability problems. Some probability distributions are defined directly in terms of the gamma function. For example, the gamma distribution is stated in terms of the gamma function. This distribution can be used to model the interval of time between earthquakes. Student's t distribution, which can be used for data where we have an unknown population standard deviation, and the chi-square distribution are also defined in terms of the gamma function.
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did you write it yourself?
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some points i have write by myself and some by another sources
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