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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=-23/8, b>=a > For fixed z and a=-23/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 37/8, -(9/2), z] == (1/3741696) ((1/(1 - Sqrt[z])^(25/4)) (1870848 - 11692800 Sqrt[z] + 36221696 z - 78033200 z^(3/2) + 134354100 z^2 - 196440635 z^(5/2) + 250794320 z^3 - 280919520 z^(7/2) + 271662720 z^4 - 214368000 z^(9/2) + 123475968 z^5 - 43929600 z^(11/2) + 7028736 z^6) + (1/(1 + Sqrt[z])^(25/4)) (1870848 + 11692800 Sqrt[z] + 36221696 z + 78033200 z^(3/2) + 134354100 z^2 + 196440635 z^(5/2) + 250794320 z^3 + 280919520 z^(7/2) + 271662720 z^4 + 214368000 z^(9/2) + 123475968 z^5 + 43929600 z^(11/2) + 7028736 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