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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=-35/8, b>=a > For fixed z and a=-35/8, b=41/8





http://functions.wolfram.com/07.23.03.bd9g.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, -(7/2), z] == (1/43520) ((1/(1 - Sqrt[z])^(17/4)) (21760 - 92480 Sqrt[z] + 289680 z - 705160 z^(3/2) + 1574285 z^2 - 3173220 z^(5/2) + 6372960 z^3 - 12207360 z^(7/2) + 28005120 z^4 - 120460288 z^(9/2) + 315920384 z^5 - 403832832 z^(11/2) + 246218752 z^6 - 57933824 z^(13/2)) + (1/(1 + Sqrt[z])^(17/4)) (21760 + 92480 Sqrt[z] + 289680 z + 705160 z^(3/2) + 1574285 z^2 + 3173220 z^(5/2) + 6372960 z^3 + 12207360 z^(7/2) + 28005120 z^4 + 120460288 z^(9/2) + 315920384 z^5 + 403832832 z^(11/2) + 246218752 z^6 + 57933824 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