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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=15/4, b>=a > For fixed z and a=15/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[15/4, 17/4, -(9/2), -z] == (1/(96 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(25/2)) (48 + 764 z + 6087 z^2 + 34034 z^3 + 170885 z^4 + 9218872 z^5 - 15689279 z^6 + 5344890 z^7 - 318365 z^8) + (1/(1 + z)^12) (48 + 740 z + 5723 z^2 + 31262 z^3 + 155925 z^4 - 6508648 z^5 + 7149205 z^6 - 1399930 z^7 + 27115 z^8)))








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