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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=1/8, b>=a > For fixed z and a=1/8, b=47/8





http://functions.wolfram.com/07.23.03.by7p.01









  


  










Input Form





Hypergeometric2F1[1/8, 47/8, -(9/2), -z] == (1/(45997056 (1 + z)^(21/2))) (2 Sqrt[1 + z] (22998528 + 234457216 z + 1083681570 z^2 + 3010814333 z^3 + 5685254517 z^4 + 8772051834 z^5 + 6166646884 z^6 + 3293535945 z^7 + 1186520181 z^8 + 256455584 z^9 + 25116784 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (11499264 + 120822128 z + 576947479 z^2 + 1660052945 z^3 + 3249577356 z^4 + 23017019570 z^5 + 15360294367 z^6 + 7712617773 z^7 + 2623216750 z^8 + 538027952 z^9 + 50233568 z^10) Sinh[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