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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=-17/4, b>=a > For fixed z and a=-17/4, b=11/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 11/4, 6, z] == (1/(86274913725 Pi z^5)) (16384 (2 (452608 - 2326688 z + 3911479 z^2 - 1021020 z^3 - 1438710 z^4 + 14158788 z^5 - 22540553 z^6 + 16891264 z^7 - 6379520 z^8 + 983040 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-452608 + 2213536 z - 3411135 z^2 + 394485 z^3 + 1276275 z^4 - 3414873 z^5 + 3221456 z^6 - 1418240 z^7 + 245760 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (452608 - 2326688 z + 3911479 z^2 - 1021020 z^3 - 1438710 z^4 + 14158788 z^5 - 22540553 z^6 + 16891264 z^7 - 6379520 z^8 + 983040 z^9) EllipticK[(1/2) (1 - 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