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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=13/8





http://functions.wolfram.com/07.23.03.b6pu.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 13/8, -(11/2), z] == -((1/(45056 (1 - z)^(3/2))) (Sqrt[1 - z] (-45056 - 17152 z - 14112 z^2 - 13783 z^3 - 15392 z^4 - 21216 z^5 - 56576 z^6 + 141440 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-8448 - 1984 z - 1407 z^2 - 1356 z^3 - 1638 z^4 - 2652 z^5 - 31824 z^6 + 35360 z^7) 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