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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=3/8, b>=a > For fixed z and a=3/8, b=45/8





http://functions.wolfram.com/07.23.03.bzd6.01









  


  








Input Form





Hypergeometric2F1[3/8, 45/8, -(7/2), -z] == (1/(1922816 (1 + z)^(19/2))) (Sqrt[1 + z] (1922816 + 19004976 z + 86800335 z^2 + 252320242 z^3 + 674773218 z^4 + 253428720 z^5 + 131134247 z^6 + 49013046 z^7 + 11191248 z^8 + 1163616 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (721056 + 7232020 z + 33523739 z^2 + 98764285 z^3 + 393876886 z^4 + 156761606 z^5 + 77157295 z^6 + 27231609 z^7 + 5886528 z^8 + 581808 z^9) 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