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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=-15/4, b>=a > For fixed z and a=-15/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(15/4), 19/4, -(11/2), -z] == (1/(2112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((1/(1 + z)^6) (2 (-528 - 1392 z - 511 z^2 + 464 z^3 - 527 z^4 + 814 z^5 + 11508 z^6 + 18264 z^7 + 11232 z^8 + 2496 z^9))) + (1/(1 + z)^(13/2)) (1056 + 3312 z + 2282 z^2 - 699 z^3 + 595 z^4 - 1001 z^5 + 34423 z^6 + 98328 z^7 + 106128 z^8 + 52416 z^9 + 9984 z^10)))








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