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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





http://functions.wolfram.com/07.23.03.bcc1.01









  


  










Input Form





Hypergeometric2F1[-(37/8), 47/8, -(9/2), z] == (1/91994112) ((1/(1 - Sqrt[z])^(23/4)) (45997056 - 264483072 Sqrt[z] + 905886464 z - 2382184336 z^(3/2) + 5321515428 z^2 - 10615777857 z^(5/2) + 19512223236 z^3 - 33690892752 z^(7/2) + 55517899008 z^4 - 88249185024 z^(9/2) + 138129159168 z^5 - 198091948032 z^(11/2) + 218167640064 z^6 - 157393944576 z^(13/2) + 64266436608 z^7 - 11176771584 z^(15/2)) + (1/(1 + Sqrt[z])^(23/4)) (45997056 + 264483072 Sqrt[z] + 905886464 z + 2382184336 z^(3/2) + 5321515428 z^2 + 10615777857 z^(5/2) + 19512223236 z^3 + 33690892752 z^(7/2) + 55517899008 z^4 + 88249185024 z^(9/2) + 138129159168 z^5 + 198091948032 z^(11/2) + 218167640064 z^6 + 157393944576 z^(13/2) + 64266436608 z^7 + 11176771584 z^(15/2)))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02