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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.amhy.01









  


  








Input Form





Hypergeometric2F1[13/4, 23/4, -(7/2), -z] == (1/(560 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^12) (2 (140 + 2410 z + 22203 z^2 + 167694 z^3 - 12038917 z^4 + 19076766 z^5 - 5154319 z^6 + 17802 z^7 + 621 z^8)) + (1/(1 + z)^(25/2)) (280 + 4960 z + 46781 z^2 + 357006 z^3 + 32329583 z^4 - 76188320 z^5 + 35347339 z^6 - 2260026 z^7 - 73071 z^8 - 2484 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