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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=27/8, b>=a > For fixed z and a=27/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[27/8, 45/8, -(3/2), -z] == (1/(17168 (1 + z)^(21/2))) ((-Sqrt[1 + z]) (-17168 - 393791 z - 9351195 z^2 + 81847934 z^3 - 93495478 z^4 + 16579389 z^5 + 371473 z^6 + 14260 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-12876 - 297221 z - 24177153 z^2 + 118939890 z^3 - 108155182 z^4 + 16763343 z^5 + 378603 z^6 + 14260 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