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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 8 and fixed z and a<0 > For fixed z and a=-29/8, b>=a > For fixed z and a=-29/8, b=31/8





http://functions.wolfram.com/07.23.03.bh1r.01









  


  








Input Form





Hypergeometric2F1[-(29/8), 31/8, 11/2, z] == (1/(586333825 z^(9/2))) (512 ((1 + Sqrt[z])^(21/4) (-51968 + 272832 Sqrt[z] - 777200 z + 1664600 z^(3/2) - 2972355 z^2 + 4660880 z^(5/2) - 6528480 z^3 + 8184960 z^(7/2) - 8574720 z^4 + 6420480 z^(9/2) - 2838528 z^5 + 540672 z^(11/2)) + (1 - Sqrt[z])^(21/4) (51968 + 272832 Sqrt[z] + 777200 z + 1664600 z^(3/2) + 2972355 z^2 + 4660880 z^(5/2) + 6528480 z^3 + 8184960 z^(7/2) + 8574720 z^4 + 6420480 z^(9/2) + 2838528 z^5 + 540672 z^(11/2))))








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