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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.bgha.01









  


  








Input Form





Hypergeometric2F1[-(29/8), -(3/8), 11/2, z] == (1/(47258506295 z^(9/2))) (1024 (-4 Sqrt[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) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) ((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) Sin[(3 ArcSin[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