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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=-9/4, b>=a > For fixed z and a=-9/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, -(11/2), -z] == (1/(11968 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(17/2)) (5984 + 37264 z + 88230 z^2 + 86819 z^3 + 10608 z^4 - 11934 z^5 - 161478 z^6 - 250301 z^7 - 177768 z^8 - 63184 z^9 - 9152 z^10) + (1/(1 + z)^8) (2 (2992 + 17136 z + 35921 z^2 + 27404 z^3 - 4862 z^4 - 1768 z^5 + 123613 z^6 + 216276 z^7 + 163688 z^8 + 60896 z^9 + 9152 z^10))))








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