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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=13/4





http://functions.wolfram.com/07.23.03.aj0v.01









  


  










Input Form





Hypergeometric2F1[3/4, 13/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^9) (1056 + 9840 z + 41426 z^2 + 104749 z^3 + 180660 z^4 + 241374 z^5 - 541450 z^6 - 56355 z^7 - 4420 z^8) + (1/(1 + z)^(19/2)) (2 (528 + 5184 z + 23107 z^2 + 62149 z^3 + 114215 z^4 + 160422 z^5 + 725501 z^6 + 14365 z^7 + 1105 z^8))))










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