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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=29/8





http://functions.wolfram.com/07.23.03.b702.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 29/8, 7/2, z] == (1/(463968505 z^(5/2))) (64 (2 Sqrt[z] (6438 + 39701 z + 4221803 z^2 - 29671821 z^3 + 82010295 z^4 - 118031680 z^5 + 94235760 z^6 - 39755520 z^7 + 6941440 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-17168 - 91205 z - 1501127 z^2 + 26894067 z^3 - 120899197 z^4 + 262920470 z^5 - 321227920 z^6 + 226491680 z^7 - 86452480 z^8 + 13882880 z^9) Sin[(3 ArcSin[Sqrt[z]])/4])))








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