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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=-19/4, b>=a > For fixed z and a=-19/4, b=23/4





http://functions.wolfram.com/07.23.03.a9vw.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, -(11/2), -z] == (1/(4928 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^6) (2 (1232 + 1120 z - 1113 z^2 + 1343 z^3 - 2070 z^4 + 4947 z^5 + 185105 z^6 + 496704 z^7 + 548496 z^8 + 282880 z^9 + 56576 z^10)) + (1/(1 + z)^(13/2)) (2464 + 3472 z - 1414 z^2 + 1447 z^3 - 2475 z^4 + 7329 z^5 - 500483 z^6 - 2124348 z^7 - 3568656 z^8 - 3028480 z^9 - 1301248 z^10 - 226304 z^11)))








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