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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.b84i.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 33/8, -(5/2), z] == (1/54400) ((1/(1 - Sqrt[z])^(5/4)) (27200 - 34000 Sqrt[z] + 245480 z - 300475 z^(3/2) + 1841100 z^2 - 2244000 z^(5/2) + 25132800 z^3 - 264566016 z^(7/2) + 85662720 z^4 + 969379840 z^(9/2) - 656015360 z^5 - 796590080 z^(11/2) + 637272064 z^6) + (1/(1 + Sqrt[z])^(5/4)) (27200 + 34000 Sqrt[z] + 245480 z + 300475 z^(3/2) + 1841100 z^2 + 2244000 z^(5/2) + 25132800 z^3 + 264566016 z^(7/2) + 85662720 z^4 - 969379840 z^(9/2) - 656015360 z^5 + 796590080 z^(11/2) + 637272064 z^6))








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