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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=-23/4, b>=a > For fixed z and a=-23/4, b=6





http://functions.wolfram.com/07.23.03.a7v9.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 6, -(21/4), z] == (1/(50692096 (-1 + z)^6)) (4 (12673024 + 7241728 z + 16187392 z^2 + 43483136 z^3 + 153354240 z^4 + 872448000 z^5 + 21840855040 z^6 - 172921282467 z^7 + 481117907907 z^8 - 679972292790 z^9 + 528805004574 z^10 - 216711101607 z^11 + 36735521823 z^12) - 100947 Sqrt[1 - z] z^(25/4) (-483923 + 2252745 z - 4232430 z^2 + 4003650 z^3 - 1904175 z^4 + 363909 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