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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=19/8, b>=a > For fixed z and a=19/8, b=29/8





http://functions.wolfram.com/07.23.03.c797.01









  


  










Input Form





Hypergeometric2F1[19/8, 29/8, -(11/2), -z] == (1/(45056 (1 + z)^(23/2))) (Sqrt[1 + z] (45056 + 578816 z + 3531808 z^2 + 13851329 z^3 + 40799023 z^4 + 107491724 z^5 + 435271694 z^6 - 588675063 z^7 + 70406611 z^8 + 737242 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (16896 + 219520 z + 1354542 z^2 + 5368709 z^3 + 15949684 z^4 + 42143139 z^5 + 341006110 z^6 - 331765237 z^7 + 35387616 z^8 + 368621 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