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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=25/8, b>=a > For fixed z and a=25/8, b=39/8





http://functions.wolfram.com/07.23.03.c9sq.01









  


  








Input Form





Hypergeometric2F1[25/8, 39/8, -(5/2), -z] == (1/(45632 (1 + z)^(21/2))) (-2 Sqrt[1 + z] (-22816 - 367908 z - 3551453 z^2 - 46715047 z^3 + 201493782 z^4 - 106516986 z^5 + 4728711 z^6 + 125541 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-11408 - 187519 z - 1831697 z^2 - 803958980 z^3 + 1545466974 z^4 - 491878743 z^5 + 9582963 z^6 + 251082 z^7) 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