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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=31/8





http://functions.wolfram.com/07.23.03.b5ix.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 31/8, 7/2, z] == (1/(38047929381 z^(5/2))) (64 (2 Sqrt[z] (113646 + 890227 z + 312675561 z^2 - 2159483139 z^3 + 5988841705 z^4 - 8682187712 z^5 + 6987117456 z^6 - 2970595584 z^7 + 522466560 z^8) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-909168 - 6496763 z - 118438073 z^2 + 1968053901 z^3 - 8807145347 z^4 + 19243598506 z^5 - 23674152304 z^6 + 16814213856 z^7 - 6463657728 z^8 + 1044933120 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