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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=11/8, b>=a > For fixed z and a=11/8, b=45/8





http://functions.wolfram.com/07.23.03.c3ub.01









  


  










Input Form





Hypergeometric2F1[11/8, 45/8, -(7/2), z] == (1/(1922816 (1 - z)^(21/2))) (Sqrt[1 - z] (1922816 - 24018032 z + 148836903 z^2 - 670362115 z^3 + 3890022010 z^4 + 5477478474 z^5 - 534051973 z^6 + 108331081 z^7 - 16915212 z^8 + 1334736 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (1442112 - 18223832 z + 114123207 z^2 - 517502535 z^3 + 6350777026 z^4 + 5731968138 z^5 - 586186533 z^6 + 116621845 z^7 - 17582580 z^8 + 1334736 z^9) Sin[(3 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