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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 4 and fixed z > For fixed z and a=5/4, b>=a > For fixed z and a=5/4, b=23/4





http://functions.wolfram.com/07.23.03.ak4r.01









  


  








Input Form





Hypergeometric2F1[5/4, 23/4, -(9/2), -z] == (1/(2016 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^11) (1008 + 12572 z + 75111 z^2 + 296107 z^3 + 957838 z^4 - 13072518 z^5 + 557267 z^6 + 113735 z^7 + 17112 z^8 + 1288 z^9) + (1/(1 + z)^(23/2)) (1008 + 13076 z + 81271 z^2 + 332154 z^3 + 1097249 z^4 + 22313684 z^5 - 8098599 z^6 - 1283078 z^7 - 252977 z^8 - 36156 z^9 - 2576 z^10)))








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