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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=-43/8, b>=a > For fixed z and a=-43/8, b=33/8





http://functions.wolfram.com/07.23.03.b84e.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 33/8, -(7/2), z] == (1/304640) ((1/(1 + Sqrt[z])^(9/4)) (152320 + 342720 Sqrt[z] + 1179120 z + 2188920 z^(3/2) + 5680635 z^2 + 9850140 z^(5/2) + 25940640 z^3 + 45239040 z^(7/2) + 196035840 z^4 + 1568140288 z^(9/2) + 2156064768 z^5 - 1630666752 z^(11/2) - 4301586432 z^6 - 1911816192 z^(13/2)) + (1/(1 - Sqrt[z])^(9/4)) (152320 - 342720 Sqrt[z] + 1179120 z - 2188920 z^(3/2) + 5680635 z^2 - 9850140 z^(5/2) + 25940640 z^3 - 45239040 z^(7/2) + 196035840 z^4 - 1568140288 z^(9/2) + 2156064768 z^5 + 1630666752 z^(11/2) - 4301586432 z^6 + 1911816192 z^(13/2)))








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