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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=-15/4, b>=a > For fixed z and a=-15/4, b=11/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 11/4, 11/2, -z] == (1/(32045 z^(9/2) Sqrt[-1 + Sqrt[1 + z]])) (16 Sqrt[2] (-80 - 340 z - 397 z^2 + 91 z^3 - 385 z^4 - 1123 z^5 - 1134 z^6 - 528 z^7 - 96 z^8 + (80 + 380 z + 557 z^2 + 70 z^3 + 308 z^4 + 2342 z^5 + 3887 z^6 + 3048 z^7 + 1200 z^8 + 192 z^9)/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