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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=-31/8, b>=a > For fixed z and a=-31/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 39/8, -(11/2), z] == (1/(946176 (1 - z)^(13/2))) (Sqrt[1 - z] (946176 - 2456832 z + 859040 z^2 + 711919 z^3 + 894959 z^4 + 1650077 z^5 + 7912333 z^6 - 39450840 z^7 + 52644592 z^8 - 29734848 z^9 + 6259968 z^10) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (236544 - 688128 z + 375284 z^2 + 174135 z^3 + 174811 z^4 + 325325 z^5 + 22671077 z^6 - 62447528 z^7 + 66729520 z^8 - 32864832 z^9 + 6259968 z^10) Sin[ArcSin[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