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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=39/8





http://functions.wolfram.com/07.23.03.bc7q.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, 9/2, z] == (1/(10905809145 z^(7/2))) (128 ((1 + Sqrt[z])^(17/4) (68672 - 291856 Sqrt[z] + 1073000 z - 2900319 z^(3/2) + 8047500 z^2 - 19262496 z^(5/2) + 63452928 z^3 - 131121408 z^(7/2) - 61400064 z^4 + 654888960 z^(9/2) - 990511104 z^5 + 625016832 z^(11/2) - 147062784 z^6) + (1 - Sqrt[z])^(17/4) (-68672 - 291856 Sqrt[z] - 1073000 z - 2900319 z^(3/2) - 8047500 z^2 - 19262496 z^(5/2) - 63452928 z^3 - 131121408 z^(7/2) + 61400064 z^4 + 654888960 z^(9/2) + 990511104 z^5 + 625016832 z^(11/2) + 147062784 z^6)))








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