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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=-11/4, b>=a > For fixed z and a=-11/4, b=6





http://functions.wolfram.com/07.23.03.adr5.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 6, -(21/4), z] == (1/(6336512 (-1 + z)^9)) (4 (-1584128 + 9278464 z - 19395584 z^2 + 13995008 z^3 + 1146880 z^4 + 3899392 z^5 + 57114624 z^6 - 280171255 z^7 + 494036579 z^8 - 464783510 z^9 + 251473398 z^10 - 74397939 z^11 + 9388071 z^12) - 231 Sqrt[1 - z] z^(25/4) (-483923 + 1251525 z - 1441150 z^2 + 895850 z^3 - 294975 z^4 + 40641 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