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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=-21/4, b>=a > For fixed z and a=-21/4, b=-15/4





http://functions.wolfram.com/07.23.03.a88m.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(15/4), 11/2, -z] == (16 Sqrt[2] (-112 - 2588 z - 32975 z^2 - 355507 z^3 - 6271265 z^4 + 73285641 z^5 - 145364011 z^6 + 83780935 z^7 - 13490731 z^8 + 326975 z^9 + 3190 z^10 + (1/Sqrt[1 + z]) (112 + 2644 z + 34255 z^2 + 371678 z^3 + 6445054 z^4 - 43858386 z^5 + 23569468 z^6 + 44341210 z^7 - 26580286 z^8 + 2609862 z^9 - 1595 z^10)))/ (842691135 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