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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=19/4





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









  


  








Input Form





Hypergeometric2F1[13/4, 19/4, -(9/2), -z] == (Sqrt[z] (-243846 z^9 + z^5 (889232318 - 624049928 Sqrt[1 + z]) + z^7 (438755320 - 105738050 Sqrt[1 + z]) + 121923 z^8 (-139 + Sqrt[1 + z]) + 5040 (1 + Sqrt[1 + z]) + 140 z (569 + 551 Sqrt[1 + z]) + 33 z^4 (519857 + 473645 Sqrt[1 + z]) + z^2 (628975 + 591035 Sqrt[1 + z]) + z^3 (3474692 + 3188502 Sqrt[1 + z]) + z^6 (-1438599599 + 641657253 Sqrt[1 + z])))/ (10080 Sqrt[2] (1 + z)^(25/2) Sqrt[-1 + Sqrt[1 + z]])








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