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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 3 and fixed z > For fixed z and a=10/3, b>=a > For fixed z and a=10/3, b=17/3





http://functions.wolfram.com/07.23.03.8635.01









  


  










Input Form





Hypergeometric2F1[10/3, 17/3, -(5/2), -z] == (1/(2654208 (1 + z)^(23/2))) ((2654208 + 50724864 z + 586743808 z^2 + 9234677760 z^3 - 73492479975 z^4 + 81736725680 z^5 - 16907797776 z^6 - 82729344 z^7 - 2902784 z^8) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (884736 + 16285696 z + 184188928 z^2 - 16946151349 z^3 + 32636944776 z^4 - 10420801232 z^5 + 81277952 z^6 + 2902784 z^7) Sinh[ArcSinh[Sqrt[z]]/3])










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