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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=5/8, b>=a > For fixed z and a=5/8, b=25/8





http://functions.wolfram.com/07.23.03.c02n.01









  


  








Input Form





Hypergeometric2F1[5/8, 25/8, -(23/4), z] == (-27968 + 262960 z - 1114776 z^2 + 2823059 z^3 - 4803288 z^4 + 6021522 z^5 - 7100268 z^6 - 350493 z^7 + 29412 z^8 + (1/Sqrt[1 - z]) (-27968 + 276944 z - 1242760 z^2 + 3349325 z^3 - 6090813 z^4 + 8130450 z^5 - 9650130 z^6 - 13149615 z^7 + 1482855 z^8 - 117648 z^9))/ (27968 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^9)








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