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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=-35/8, b>=a > For fixed z and a=-35/8, b=25/8





http://functions.wolfram.com/07.23.03.bd11.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 25/8, 3/2, -z] == -((1/(36363 Sqrt[z] (1 + z)^(5/8))) (4 (4 Sqrt[z] (-1293 + 4745 z + 63700 z^2 + 153440 z^3 + 140800 z^4 + 45056 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] - (3135 + 91110 z + 467135 z^2 + 900256 z^3 + 746240 z^4 + 225280 z^5) Sin[(5 ArcTan[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