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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=13/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 13/8, 11/2, -z] == (1/(586333825 z^(9/2) Sqrt[1 + z])) (1024 (2 Sqrt[z] Sqrt[1 + z] (-19488 - 128644 z - 338633 z^2 - 392196 z^3 + 440450 z^4 + 615664 z^5 + 397647 z^6 + 133584 z^7 + 18768 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (51968 + 387440 z + 1194307 z^2 + 1806642 z^3 + 457562 z^4 - 1412384 z^5 - 1597925 z^6 - 924186 z^7 - 285936 z^8 - 37536 z^9) Sinh[(3 ArcSinh[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