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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=-13/8, b>=a > For fixed z and a=-13/8, b=45/8





http://functions.wolfram.com/07.23.03.bqu1.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, -(3/2), -z] == (1/(17168 (1 + z)^(11/2))) (Sqrt[1 + z] (17168 - 13949 z + 75110 z^2 + 670131 z^3 + 1517088 z^4 + 1587936 z^5 + 809472 z^6 + 163200 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 4 Sqrt[z] (3219 - 2146 z + 73157 z^2 + 318600 z^3 + 555018 z^4 + 493068 z^5 + 222768 z^6 + 40800 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