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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 4 and fixed z > For fixed z and a=17/4, b>=a > For fixed z and a=17/4, b=6





http://functions.wolfram.com/07.23.03.an9q.01









  


  










Input Form





Hypergeometric2F1[17/4, 6, -(21/4), z] == (1/(2912 (-1 + z)^16)) (4 (728 - 15184 z + 159224 z^2 - 1155008 z^3 + 6962480 z^4 - 44181984 z^5 + 790202672 z^6 + 1607997419 z^7 - 780351067 z^8 - 1324090490 z^9 - 251268534 z^10 - 4317313 z^11 + 57057 z^12) - 4389 Sqrt[1 - z] z^(25/4) (-483923 - 1084655 z - 591630 z^2 - 79950 z^3 - 975 z^4 + 13 z^5) Beta[z, 3/4, 1/2])










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