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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=-1/4





http://functions.wolfram.com/07.23.03.9451.01









  


  










Input Form





Hypergeometric2F1[-(23/4), -(1/4), 6, -z] == (1/(1096004293589205 Pi z^5)) (16384 (1 + z)^(1/4) (-2 (9844736 + 137057184 z + 934264485 z^2 + 4380359522 z^3 + 19057279395 z^4 - 158378608752 z^5 + 4283582667 z^6 + 1224686970 z^7 + 287229501 z^8 + 44646420 z^9 + 3341520 z^10) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (9844736 + 137057184 z + 934264485 z^2 + 4380359522 z^3 + 19057279395 z^4 - 158378608752 z^5 + 4283582667 z^6 + 1224686970 z^7 + 287229501 z^8 + 44646420 z^9 + 3341520 z^10) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-9844736 - 129673632 z - 838162941 z^2 - 3766500815 z^3 - 16325148840 z^4 + 36425547522 z^5 + 7048096419 z^6 + 2071569357 z^7 + 511749810 z^8 + 84280560 z^9 + 6683040 z^10) 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