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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=-37/8, b>=a > For fixed z and a=-37/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 47/8, -(1/2), z] == (1/28520) ((1/(1 - Sqrt[z])^(7/4)) (14260 - 24955 Sqrt[z] + 784300 z + 11301136 z^(3/2) - 40953088 z^2 - 74531072 z^(5/2) + 280935424 z^3 + 63979520 z^(7/2) - 595460096 z^4 + 189595648 z^(9/2) + 383516672 z^5 - 219152384 z^(11/2)) + (1/(1 + Sqrt[z])^(7/4)) (14260 + 24955 Sqrt[z] + 784300 z - 11301136 z^(3/2) - 40953088 z^2 + 74531072 z^(5/2) + 280935424 z^3 - 63979520 z^(7/2) - 595460096 z^4 - 189595648 z^(9/2) + 383516672 z^5 + 219152384 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