- #1
Wishbone
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I am having trouble with a problem that asks me to show that if I change the variable of integration of the following equation from t to t-1 the following
http://mathworld.wolfram.com/images/equations/EulersHypergeometricTransformations/equation1.gif
(disregard that z in the denominator, that should not be there)
will equal the following
http://mathworld.wolfram.com/images/equations/EulersHypergeometricTransformations/inline16.gif
(this one uses z's instead of t's)I have tried simply changing the all the t's to t-1, and the only differentiating the t-1 term. That of course didn't work. I also tried a U substitution and that gave me an integral that looked like it couldn't be solved analytically (if you want me to post that code I can). I am not sure whether I even need to integrate, or whether this is one of those problems with a really quick shortuct and I can avoid doing any integration. Anyways, any help would be appreicated, thanks.
http://mathworld.wolfram.com/images/equations/EulersHypergeometricTransformations/equation1.gif
(disregard that z in the denominator, that should not be there)
will equal the following
http://mathworld.wolfram.com/images/equations/EulersHypergeometricTransformations/inline16.gif
(this one uses z's instead of t's)I have tried simply changing the all the t's to t-1, and the only differentiating the t-1 term. That of course didn't work. I also tried a U substitution and that gave me an integral that looked like it couldn't be solved analytically (if you want me to post that code I can). I am not sure whether I even need to integrate, or whether this is one of those problems with a really quick shortuct and I can avoid doing any integration. Anyways, any help would be appreicated, thanks.
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