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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=7/4





http://functions.wolfram.com/07.23.03.9667.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 7/4, 5, -z] == (1/(82380323025 Pi z^4)) (4096 (1 + z)^(1/4) (2 (615296 + 4383984 z + 11522379 z^2 + 6056820 z^3 + 21304530 z^4 + 30022668 z^5 + 24607947 z^6 + 12183912 z^7 + 3397680 z^8 + 411840 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + 8 Sqrt[1 + z] (-76912 - 490314 z - 1081575 z^2 + 2258100 z^4 + 4395924 z^5 + 4349163 z^6 + 2474550 z^7 + 772200 z^8 + 102960 z^9) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (615296 + 4383984 z + 11522379 z^2 + 6056820 z^3 + 21304530 z^4 + 30022668 z^5 + 24607947 z^6 + 12183912 z^7 + 3397680 z^8 + 411840 z^9) 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