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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=-37/8, b>=a > For fixed z and a=-37/8, b=13/8





http://functions.wolfram.com/07.23.03.bbr1.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 13/8, 11/2, z] == (1/(42802369225 z^(9/2))) (1024 ((-Sqrt[z]) (1442112 - 10704248 z + 32191073 z^2 - 43533756 z^3 - 61756426 z^4 + 106952116 z^5 - 91845279 z^6 + 46206264 z^7 - 12968688 z^8 + 1576512 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((-1922816 + 15914736 z - 55048119 z^2 + 94264123 z^3 - 21766878 z^4 - 106176234 z^5 + 147847933 z^6 - 113425857 z^7 + 52493544 z^8 - 13756944 z^9 + 1576512 z^10) 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