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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=19/4





http://functions.wolfram.com/07.23.03.ak0w.01









  


  










Input Form





Hypergeometric2F1[5/4, 19/4, -(5/2), -z] == (Sqrt[z] ((4 + 41 z + 224 z^2 - 4618 z^3 + 224 z^4 + 41 z^5 + 4 z^6)/ (1 + z)^8 + (4 + 43 z + 244 z^2 + 7506 z^3 - 3112 z^4 - 509 z^5 - 88 z^6 - 8 z^7)/(1 + z)^(17/2)))/(8 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])










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