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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=5/8, b>=a > For fixed z and a=5/8, b=41/8





http://functions.wolfram.com/07.23.03.c0d7.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(9/2), -z] == (1/(9216 (1 + z)^(77/8))) ((9216 + 88064 z + 386316 z^2 + 1056465 z^3 + 2203300 z^4 + 6210270 z^5 + 1582600 z^6 + 491385 z^7 + 104304 z^8 + 10496 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (11520 + 112240 z + 503589 z^2 + 1411716 z^3 + 3004694 z^4 - 2094116 z^5 - 638739 z^6 - 132840 z^7 - 13120 z^8) Sin[(5 ArcTan[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