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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=13/4





http://functions.wolfram.com/07.23.03.ag4b.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 13/4, -(11/2), -z] == (1/(6336 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^7) (3168 + 19440 z + 48118 z^2 + 58457 z^3 + 29835 z^4 - 4641 z^5 - 32045 z^6 - 18564 z^7 - 3536 z^8) + (1/(1 + z)^(15/2)) (2 (1584 + 10512 z + 28721 z^2 + 40142 z^3 + 27070 z^4 + 2652 z^5 + 9061 z^6 + 4862 z^7 + 884 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