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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=7/8





http://functions.wolfram.com/07.23.03.bbn8.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 7/8, -(3/2), z] == (1/4896) ((1 + Sqrt[z])^(9/4) (2448 - 5508 Sqrt[z] + 15555 z - 27540 z^(3/2) + 85680 z^2 - 474880 z^(5/2) + 725760 z^3 - 322560 z^(7/2)) + (1 - Sqrt[z])^(9/4) (2448 + 5508 Sqrt[z] + 15555 z + 27540 z^(3/2) + 85680 z^2 + 474880 z^(5/2) + 725760 z^3 + 322560 z^(7/2)))








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