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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=-17/4, b>=a > For fixed z and a=-17/4, b=13/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, -(9/2), z] == (1/20160) ((1/(1 - Sqrt[z])^(7/2)) (10080 - 35280 Sqrt[z] + 75040 z - 130340 z^(3/2) + 199170 z^2 - 281085 z^(5/2) + 371784 z^3 - 469224 z^(7/2) + 562800 z^4 - 646800 z^(9/2) + 665280 z^5 - 448448 z^(11/2) + 128128 z^6) + (1/(1 + Sqrt[z])^(7/2)) (10080 + 35280 Sqrt[z] + 75040 z + 130340 z^(3/2) + 199170 z^2 + 281085 z^(5/2) + 371784 z^3 + 469224 z^(7/2) + 562800 z^4 + 646800 z^(9/2) + 665280 z^5 + 448448 z^(11/2) + 128128 z^6))








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