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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=1/4, b>=a > For fixed z and a=1/4, b=15/4





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









  


  








Input Form





Hypergeometric2F1[1/4, 15/4, -(7/2), -z] == (1/(112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((56 + 400 z + 1251 z^2 + 2309 z^3 - 1475 z^4 - 441 z^5 - 60 z^6)/ (1 + z)^7 + (4 (14 + 107 z + 361 z^2 + 722 z^3 + 2390 z^4 + 901 z^5 + 243 z^6 + 30 z^7))/(1 + z)^(15/2)))








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