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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=-29/8, b>=a > For fixed z and a=-29/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 29/8, 7/2, -z] == (1/(5635245 z^(5/2))) (64 (4 Sqrt[z] (87 - 406 z + 26397 z^2 + 125910 z^3 + 210732 z^4 + 152592 z^5 + 40800 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((464 - 1769 z + 21518 z^2 + 283815 z^3 + 859008 z^4 + 1127712 z^5 + 691968 z^6 + 163200 z^7) Sinh[(3 ArcSinh[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