Wednesday, 25 March 2015

calculus - Can we consider a hypergeometric function as a closed-form?

Let's say a calculus problem like an integral or a series has a solution that inevitably involving a hypergeometric function. It turns out that hypergeometric function cannot be expressed in term of certain "well-known" functions or expressions. The question then arises:





Can we consider that solution as a closed-form?




How about a solution that involving a Meijer G-function? Please provide me an answer or a comment that contains explanations to support your arguments. I am aware that the answer of this OP can be subjective, but I would dearly love to know your thought or opinion, so please share your view about this issue as an answer or a comment. Any constructive answers or comments would be greatly appreciated. Thank you.

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real analysis - How to find limhrightarrow0fracsin(ha)h

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