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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=11/8, b>=a > For fixed z and a=11/8, b=45/8





http://functions.wolfram.com/07.23.03.c3u4.01









  


  










Input Form





Hypergeometric2F1[11/8, 45/8, -(11/2), -z] == (1/(30765056 (1 + z)^(25/2))) ((-Sqrt[1 + z]) (-30765056 - 421096704 z - 2738811040 z^2 - 11423107569 z^3 - 35481459690 z^4 - 96296581359 z^5 - 376389849976 z^6 + 371477980305 z^7 + 27458712334 z^8 + 4335820735 z^9 + 540867540 z^10 + 34851440 z^11) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-23073792 - 319187456 z - 2098062652 z^2 - 8839602549 z^3 - 27692659990 z^4 - 75441096683 z^5 - 568036588404 z^6 + 384697801717 z^7 + 29561192474 z^8 + 4601898075 z^9 + 558293260 z^10 + 34851440 z^11) 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