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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=4





http://functions.wolfram.com/07.23.03.ajy2.01









  


  










Input Form





Hypergeometric2F1[5/4, 4, -(17/4), z] == (1/(1768 (-1 + z)^10)) (4 (442 - 4940 z + 25990 z^2 - 88040 z^3 + 237190 z^4 - 1120076 z^5 + 735605 z^6 + 236159 z^7 - 23947 z^8 + 1617 z^9) - 231 Sqrt[1 - z] z^(21/4) (7975 + 957 z - 99 z^2 + 7 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