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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=-39/8, b>=a > For fixed z and a=-39/8, b=23/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 23/8, 11/2, -z] == (1024 (8 Sqrt[z] Sqrt[1 + z] (39928 + 167555 z + 157573 z^2 - 129766 z^3 + 6043364 z^4 + 16677397 z^5 + 20413855 z^6 + 13504326 z^7 + 4730088 z^8 + 692208 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (1277696 + 6240176 z + 8623735 z^2 - 1075204 z^3 + 13365898 z^4 + 100068076 z^5 + 203718999 z^6 + 212944160 z^7 + 126262752 z^8 + 40609536 z^9 + 5537664 z^10) Sinh[ArcSinh[Sqrt[z]]/4]))/ (45295154025 z^(9/2) 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