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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.a7vh.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 6, -(5/4), z] == (1/(2621440 (-1 + z)^2)) (4 (655360 + 16777216 z + 1167327232 z^2 - 19503859677 z^3 + 101490093549 z^4 - 245517564330 z^5 + 305871400098 z^6 - 190756214649 z^7 + 47231385201 z^8) - 100947 Sqrt[1 - z] z^(9/4) (-32045 + 332775 z - 1213650 z^2 + 2022750 z^3 - 1577745 z^4 + 467883 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