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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=-13/4, b>=a > For fixed z and a=-13/4, b=13/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 13/4, 6, -z] == (1/(2331754425 Pi z^5)) (16384 (1 + z)^(1/4) (2 (26624 + 91104 z + 71799 z^2 - 31031 z^3 + 45045 z^4 + 594363 z^5 + 858088 z^6 + 491568 z^7 + 103488 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (26624 + 71136 z + 21567 z^2 - 40040 z^3 + 75075 z^4 + 249018 z^5 + 198352 z^6 + 51744 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (26624 + 91104 z + 71799 z^2 - 31031 z^3 + 45045 z^4 + 594363 z^5 + 858088 z^6 + 491568 z^7 + 103488 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])]))








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