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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=23/4





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









  


  








Input Form





Hypergeometric2F1[13/4, 23/4, -(11/2), -z] == (1/(704 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^14) (2 (176 + 3040 z + 25921 z^2 + 149429 z^3 + 693380 z^4 + 3181815 z^5 - 130013040 z^6 + 149060451 z^7 - 30538496 z^8 + 74865 z^9 + 2139 z^10)) + (1/(1 + z)^(29/2)) (352 + 6256 z + 54838 z^2 + 324041 z^3 + 1530075 z^4 + 7022665 z^5 + 367888835 z^6 - 644967817 z^7 + 230652641 z^8 - 11753805 z^9 - 305877 z^10 - 8556 z^11)))








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