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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=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), -(3/8), 11/2, -z] == (1024 (-4 Sqrt[z] Sqrt[1 + z] (-9744 - 109562 z - 601170 z^2 - 2341605 z^3 - 22829398 z^4 + 16906656 z^5 + 1287678 z^6 + 170407 z^7 + 12834 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (-51968 - 628720 z - 3703619 z^2 - 15208615 z^3 - 70792190 z^4 + 6580394 z^5 + 70119985 z^6 + 5485109 z^7 + 707296 z^8 + 51336 z^9) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (47258506295 z^(9/2) Sqrt[1 + z])








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