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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=-37/8, b>=a > For fixed z and a=-37/8, b=-35/8





http://functions.wolfram.com/07.23.03.bb6p.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(35/8), 3/2, -z] == (1/7454415) (4 ((2184699 - 40683241 z + 140960142 z^2 - 126260754 z^3 + 27747751 z^4 - 853461 z^5) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (1/(Sqrt[z] Sqrt[1 + z])) ((-428127 + 19660794 z - 78985869 z^2 + 8192668 z^3 + 80962679 z^4 - 25451318 z^5 + 853461 z^6) 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