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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=21/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, -(9/2), -z] == (1/(1632 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^8) (816 + 5236 z + 12971 z^2 + 13260 z^3 - 1326 z^4 - 49712 z^5 - 68517 z^6 - 44888 z^7 - 15120 z^8 - 2112 z^9) + (1/(1 + z)^(17/2)) (816 + 5644 z + 15487 z^2 + 19142 z^3 + 3978 z^4 + 31148 z^5 + 39007 z^6 + 24202 z^7 + 7824 z^8 + 1056 z^9)))








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