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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=3/4, b>=a > For fixed z and a=3/4, b=17/4





http://functions.wolfram.com/07.23.03.aj4f.01









  


  








Input Form





Hypergeometric2F1[3/4, 17/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^10) (2 (528 + 5520 z + 26463 z^2 + 77662 z^3 + 159380 z^4 + 261612 z^5 - 865725 z^6 - 133790 z^7 - 20910 z^8 - 1700 z^9)) + (1/(1 + z)^(21/2)) (1056 + 11568 z + 58314 z^2 + 180473 z^3 + 390455 z^4 + 666094 z^5 + 4165752 z^6 + 138805 z^7 + 21335 z^8 + 1700 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