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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=3/4, b>=a > For fixed z and a=3/4, b=21/4





http://functions.wolfram.com/07.23.03.aj8i.01









  


  










Input Form





Hypergeometric2F1[3/4, 21/4, -(3/2), -z] == (1/(884 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((2 (221 + 2210 z + 72598 z^2 + 9708 z^3 + 4153 z^4 + 1130 z^5 + 140 z^6))/(1 + z)^(15/2) - (-442 - 4199 z + 83979 z^2 + 35439 z^3 + 15587 z^4 + 4380 z^5 + 560 z^6)/(1 + z)^7))










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