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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=-13/4, b>=a > For fixed z and a=-13/4, b=13/4





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









  


  










Input Form





Hypergeometric2F1[-(13/4), 13/4, 11/2, -z] == (16 Sqrt[2] (1456 + 4212 z + 1807 z^2 - 1261 z^3 + 5265 z^4 + 30049 z^5 + 40712 z^6 + 23184 z^7 + 4928 z^8 - (1/Sqrt[1 + z]) (1456 + 4940 z + 3731 z^2 - 793 z^3 + 4615 z^4 + 18857 z^5 + 22946 z^6 + 12208 z^7 + 2464 z^8)))/(447051 z^(9/2) 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