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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=1/4, b>=a > For fixed z and a=1/4, b=23/4





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









  


  








Input Form





Hypergeometric2F1[1/4, 23/4, -(9/2), -z] == (1/(2016 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^10) (1008 + 10276 z + 47723 z^2 + 134649 z^3 + 265922 z^4 - 265922 z^5 - 134649 z^6 - 47723 z^7 - 10276 z^8 - 1008 z^9) + (1/(1 + z)^(21/2)) (1008 + 10780 z + 52735 z^2 + 157289 z^3 + 327884 z^4 + 1371950 z^5 + 728455 z^6 + 339661 z^7 + 110734 z^8 + 22064 z^9 + 2016 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