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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=17/8, b>=a > For fixed z and a=17/8, b=31/8





http://functions.wolfram.com/07.23.03.c6fu.01









  


  








Input Form





Hypergeometric2F1[17/8, 31/8, -(11/2), -z] == (1/(21762048 (1 + z)^(23/2))) (Sqrt[1 + z] (21762048 + 272643840 z + 1618732640 z^2 + 6164308683 z^3 + 17615379541 z^4 + 45214626452 z^5 + 182749384890 z^6 - 179339954685 z^7 + 9605685921 z^8 + 270582702 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (2720256 + 34930560 z + 212630446 z^2 + 829454543 z^3 + 2418338128 z^4 + 6251579929 z^5 + 460295519910 z^6 - 217509035103 z^7 + 4870488636 z^8 + 135291351 z^9) Sinh[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