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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=4, b>=a > For fixed z and a=4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[4, 21/4, -(17/4), z] == (1/(663 (-1 + z)^14)) (663 - 12558 z + 121947 z^2 - 861448 z^3 + 5882702 z^4 - 105390292 z^5 - 189828394 z^6 + 128571872 z^7 + 143628947 z^8 + 17853066 z^9 + 33495 z^10 - 8778 Sqrt[1 - z] z^(21/4) (7975 + 16269 z + 7293 z^2 + 663 z^3) 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