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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=-41/8, b>=a > For fixed z and a=-41/8, b=-37/8





http://functions.wolfram.com/07.23.03.b8o4.01









  


  










Input Form





Hypergeometric2F1[-(41/8), -(37/8), 11/4, z] == (2 2^(3/4) (-219965 + 1142175550 z + 10336794205 z^2 + 22293667556 z^3 + 14636698957 z^4 + 2804121214 z^5 + 108266227 z^6 + (1/Sqrt[1 - z]) (219965 + 1116439645 z + 8150063505 z^2 + 8258741601 z^3 - 8192288201 z^4 - 8102702089 z^5 - 1212064965 z^6 - 18409461 z^7)))/(4517450355 (1 + Sqrt[1 - z])^(3/4) z)










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