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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=33/8, b>=a > For fixed z and a=33/8, b=45/8





http://functions.wolfram.com/07.23.03.cc88.01









  


  








Input Form





Hypergeometric2F1[33/8, 45/8, -(19/4), z] == (1/(652384 2^(3/4) (-1 + z)^14)) ((1 + Sqrt[1 - z])^(3/4) (326192 - 6098932 z + 58078271 z^2 - 394980957 z^3 + 2421978819 z^4 + 595058332191 z^5 + 1187333600301 z^6 + 539072876889 z^7 + 51886932705 z^8 + 21413529 z^9 + (1/Sqrt[1 - z]) (326192 - 6262028 z + 61086963 z^2 - 423278113 z^3 + 2612577955 z^4 - 637523412381 z^5 - 1516299156195 z^6 - 880174845507 z^7 - 132797464047 z^8 - 2748069555 z^9 + 28551372 z^10)))








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