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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=-17/8





http://functions.wolfram.com/07.23.03.b9uz.01









  


  










Input Form





Hypergeometric2F1[-(39/8), -(17/8), 9/2, z] == (1/(343070825427 z^(7/2))) (256 (Sqrt[z] (-11408 + 213187 z - 2411366 z^2 + 1377408365 z^3 + 3314558160 z^4 + 1408335693 z^5 + 40192434 z^6 - 2108445 z^7 + 90132 z^8) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((45632 - 884120 z + 10227985 z^2 - 155714922 z^3 - 648658873 z^4 + 230829456 z^5 + 524982831 z^6 + 41235390 z^7 - 2153511 z^8 + 90132 z^9) 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