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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=-1/8, b>=a > For fixed z and a=-1/8, b=27/8





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









  


  








Input Form





Hypergeometric2F1[-(1/8), 27/8, -(11/2), -z] == (1/(45056 (1 + z)^(63/8))) ((45056 + 282368 z + 716576 z^2 + 893739 z^3 + 447601 z^4 - 188727 z^5 - 566181 z^6 - 248712 z^7 - 41280 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (78848 + 548352 z + 1627612 z^2 + 2660251 z^3 + 2547457 z^4 + 1321089 z^5 + 484911 z^6 + 72240 z^7) Sin[(7 ArcTan[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