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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=-39/8, b>=a > For fixed z and a=-39/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 47/8, 11/2, z] == (1/(9059030805 z^(9/2))) (1024 ((-Sqrt[z]) (-448 - 1720 z - 6853 z^2 - 37466 z^3 - 9359229 z^4 + 52113732 z^5 - 113010480 z^6 + 120865536 z^7 - 64044288 z^8 + 13483008 z^9) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[1 - z]) ((1792 + 5648 z + 22535 z^2 + 130383 z^3 + 1944481 z^4 - 26710827 z^5 + 96986868 z^6 - 166280400 z^7 + 151202304 z^8 - 70785792 z^9 + 13483008 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