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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=21/4, b>=a > For fixed z and a=21/4, b=6





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









  


  










Input Form





Hypergeometric2F1[21/4, 6, -(5/4), z] == (1/(1280 (-1 + z)^13)) (4 (-320 + 12224 z - 835392 z^2 - 7279473 z^3 - 7695819 z^4 + 7587750 z^5 + 7226522 z^6 + 975499 z^7 + 9009 z^8) - 231 Sqrt[1 - z] z^(9/4) (13195 + 86275 z + 131950 z^2 + 56550 z^3 + 5655 z^4 + 39 z^5) 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