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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=11/3





http://functions.wolfram.com/07.23.03.8557.01









  


  








Input Form





Hypergeometric2F1[10/3, 11/3, -(7/2), -z] == (1/(6967296 (1 + z)^(21/2))) ((6967296 + 97873920 z + 706654208 z^2 + 3929411584 z^3 + 31287517184 z^4 - 125716201369 z^5 + 62759413180 z^6 - 4471087408 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + 3 Sqrt[z] Sqrt[1 + z] (-774144 - 10330112 z - 71307264 z^2 - 387186688 z^3 + 12616515481 z^4 - 10496252052 z^5 + 1108525424 z^6) 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