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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=37/8





http://functions.wolfram.com/07.23.03.c3o1.01









  


  










Input Form





Hypergeometric2F1[11/8, 37/8, -(9/2), -z] == (1/(1870848 (1 + z)^(21/2))) (-4 Sqrt[1 + z] (-467712 - 5469632 z - 30381821 z^2 - 109966695 z^3 - 319451965 z^4 - 1249277428 z^5 + 1146176733 z^6 + 73020469 z^7 + 8679349 z^8 + 603198 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-1403136 - 16613520 z - 93410537 z^2 - 341787765 z^3 - 999155850 z^4 - 7461408802 z^5 + 4726558995 z^6 + 309138975 z^7 + 35923792 z^8 + 2412792 z^9) Sinh[(3 ArcSinh[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