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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=39/8





http://functions.wolfram.com/07.23.03.bc74.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, -(1/4), z] == (1/(81282 2^(1/4))) ((1 + Sqrt[1 - z])^(1/4) (40641 - 8485216 z + 60606208 z^2 - 121671680 z^3 + 72417280 z^4 + (1/Sqrt[1 - z]) (40641 + 15800596 z - 172141056 z^2 + 553260032 z^3 - 685834240 z^4 + 289669120 z^5)))








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