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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=-47/8, b>=a > For fixed z and a=-47/8, b=-9/8





http://functions.wolfram.com/07.23.03.b4y6.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(9/8), 9/2, z] == (1/(9720340053765 z^(7/2))) (256 (Sqrt[z] (-536176 + 9215525 z - 92691426 z^2 + 39170569723 z^3 + 61056648792 z^4 + 4839361979 z^5 - 793172330 z^6 + 145315317 z^7 - 19498556 z^8 + 1321936 z^9) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((2144704 - 38336584 z + 395932465 z^2 - 5053927954 z^3 - 13133782553 z^4 + 13336432696 z^5 + 5218950751 z^6 - 863475290 z^7 + 154899353 z^8 - 20159524 z^9 + 1321936 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