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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=-37/8, b>=a > For fixed z and a=-37/8, b=-35/8





http://functions.wolfram.com/07.23.03.bb6v.01









  


  










Input Form





Hypergeometric2F1[-(37/8), -(35/8), 9/2, -z] == -((256 (Sqrt[z] Sqrt[1 + z] (-154512 - 3943275 z - 64286649 z^2 - 5654281743 z^3 + 36785788747 z^4 - 57723619473 z^5 + 27462233541 z^6 - 3562734133 z^7 + 69669369 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (206016 + 5433672 z + 90199599 z^2 + 2132275257 z^3 - 21110248773 z^4 + 22155630477 z^5 + 20849993645 z^6 - 21035763029 z^7 + 3357756521 z^8 - 69669369 z^9) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (1052123587515 z^(7/2) 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