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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=-45/8, b>=a > For fixed z and a=-45/8, b=39/8





http://functions.wolfram.com/07.23.03.b75w.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 39/8, -(7/2), z] == (1/2555392) ((1/(1 - Sqrt[z])^(11/4)) (1277696 - 3513664 Sqrt[z] + 13084976 z - 28297544 z^(3/2) + 78440695 z^2 - 155636492 z^(5/2) + 431804208 z^3 - 861349632 z^(7/2) + 3836921088 z^4 + 15935169536 z^(9/2) - 78354006016 z^5 + 59584937984 z^(11/2) + 84279230464 z^6 - 133189861376 z^(13/2) + 48432676864 z^7) + (1/(1 + Sqrt[z])^(11/4)) (1277696 + 3513664 Sqrt[z] + 13084976 z + 28297544 z^(3/2) + 78440695 z^2 + 155636492 z^(5/2) + 431804208 z^3 + 861349632 z^(7/2) + 3836921088 z^4 - 15935169536 z^(9/2) - 78354006016 z^5 - 59584937984 z^(11/2) + 84279230464 z^6 + 133189861376 z^(13/2) + 48432676864 z^7))










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