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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=47/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(43/8))) ((1277696 - 1266288 z + 1807455 z^2 - 4233794 z^3 + 31094643 z^4 + 419296212 z^5 + 1107938304 z^6 + 1274803200 z^7 + 694222848 z^8 + 147062784 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-958272 + 1089464 z - 1546497 z^2 + 3452346 z^3 + 232652355 z^4 + 716845536 z^5 + 886203648 z^6 + 504582144 z^7 + 110297088 z^8) 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