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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=-15/8, b>=a > For fixed z and a=-15/8, b=37/8





http://functions.wolfram.com/07.23.03.bp9h.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 37/8, -(9/2), z] == (1/178176) ((1/(1 - Sqrt[z])^(29/4)) (89088 - 645888 Sqrt[z] + 2190080 z - 4776880 z^(3/2) + 7763300 z^2 - 10121435 z^(5/2) + 10868620 z^3 - 9553760 z^(7/2) + 6570240 z^4 - 3229440 z^(9/2) + 979968 z^5 - 135168 z^(11/2)) + (1/(1 + Sqrt[z])^(29/4)) (89088 + 645888 Sqrt[z] + 2190080 z + 4776880 z^(3/2) + 7763300 z^2 + 10121435 z^(5/2) + 10868620 z^3 + 9553760 z^(7/2) + 6570240 z^4 + 3229440 z^(9/2) + 979968 z^5 + 135168 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