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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=23/8





http://functions.wolfram.com/07.23.03.bbw8.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 23/8, -(11/2), z] == (1/4055040) ((1/(1 - Sqrt[z])^(15/4)) (2027520 - 7603200 Sqrt[z] + 15356160 z - 24480000 z^(3/2) + 34068640 z^2 - 43375740 z^(5/2) + 51548205 z^3 - 57834320 z^(7/2) + 61323552 z^4 - 61200000 z^(9/2) + 56305920 z^5 - 45619200 z^(11/2) + 26357760 z^6 - 7028736 z^(13/2)) + (1/(1 + Sqrt[z])^(15/4)) (2027520 + 7603200 Sqrt[z] + 15356160 z + 24480000 z^(3/2) + 34068640 z^2 + 43375740 z^(5/2) + 51548205 z^3 + 57834320 z^(7/2) + 61323552 z^4 + 61200000 z^(9/2) + 56305920 z^5 + 45619200 z^(11/2) + 26357760 z^6 + 7028736 z^(13/2)))








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