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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=13/4, b>=a > For fixed z and a=13/4, b=5





http://functions.wolfram.com/07.23.03.amf2.01









  


  








Input Form





Hypergeometric2F1[13/4, 5, -(21/4), z] == (1/(1008 (-1 + z)^14)) (4 (252 - 4308 z + 36192 z^2 - 204288 z^3 + 921592 z^4 - 4137224 z^5 + 47627776 z^6 + 33026665 z^7 - 55219742 z^8 - 21482120 z^9 - 575190 z^10 + 10395 z^11) - 231 Sqrt[1 - z] z^(25/4) (-483923 - 600732 z - 136530 z^2 - 2460 z^3 + 45 z^4) Beta[z, 3/4, 1/2])








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