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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=19/8





http://functions.wolfram.com/07.23.03.b979.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 19/8, 23/4, z] == (16 2^(3/4) (418200 - 2537080 z + 5349475 z^2 - 2383740 z^3 + 71458506 z^4 - 141190596 z^5 + 138309075 z^6 - 77019616 z^7 + 23410432 z^8 - 3035136 z^9 + (1/Sqrt[1 - z]) (4 (-104550 + 686545 z - 1641435 z^2 + 1191870 z^3 + 20149044 z^4 - 62852931 z^5 + 85711869 z^6 - 67789340 z^7 + 32304864 z^8 - 8667648 z^9 + 1011712 z^10))))/ (2443521587 (1 + Sqrt[1 - z])^(3/4) z^4)








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