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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=23/4





http://functions.wolfram.com/07.23.03.ann3.01









  


  








Input Form





Hypergeometric2F1[21/4, 23/4, -(9/2), -z] == (1/(96 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^15) (48 + 1036 z + 11683 z^2 + 97877 z^3 + 796991 z^4 - 83740319 z^5 + 222936137 z^6 - 153424417 z^7 + 29786981 z^8 - 1168097 z^9) + (1/(1 + z)^(31/2)) (48 + 1060 z + 12195 z^2 + 103592 z^3 + 844532 z^4 + 107789344 z^5 - 388780270 z^6 + 369222008 z^7 - 109691004 z^8 + 8717596 z^9 - 83421 z^10)))








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