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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=-29/8, b>=a > For fixed z and a=-29/8, b=39/8





http://functions.wolfram.com/07.23.03.bh61.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 39/8, -(7/2), -z] == (1/(6388480 (1 + z)^(35/8))) ((6388480 - 6103280 z + 8027667 z^2 - 15984034 z^3 + 92264339 z^4 + 1015543008 z^5 + 2016613632 z^6 + 1548079104 z^7 + 421724160 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 Sqrt[z] (-1197840 + 1319050 z - 1737581 z^2 + 3313311 z^3 + 148887708 z^4 + 340109088 z^5 + 278733312 z^6 + 79073280 z^7) Sin[(3 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