For , find the following integral: Source: a cool guy called Drexel28 left it as an exercise for an unsuspecting student in mathlinks.
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Originally Posted by TheCoffeeMachine For , find the following integral: Source: a cool guy called Drexel28 left it as an exercise for an unsuspecting student in mathlinks. Several years ago I 'discovered' that is... (1) Now if we consider the 'binomial expansion'... (2) ... combining (1) and (2) we obtain... (3) At this point some more work on the series (3) is useful!... Kind regards
Originally Posted by chisigma Several years ago I 'discovered' that is... (1) Now if we consider the 'binomial expansion'... (2) ... combining (1) and (2) we obtain... (3) At this point some more work on the series (3) is useful!... For some values of m... (1) (2) (3) Does anyone want to proceed?... Kind regards
Originally Posted by chisigma Several years ago I 'discovered' that is... (1) Nice. I've seen you use this before. Did you prove by setting up a recurrence relation?
Gamma function,
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