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A268979
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Decimal expansion of the first negative root of the equation Gamma(x) + Psi(x) = 0, negated.
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3
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1, 7, 8, 1, 5, 8, 0, 6, 9, 0, 1, 0, 1, 4, 6, 1, 6, 2, 3, 5, 7, 8, 5, 8, 3, 6, 6, 1, 8, 0, 0, 2, 9, 8, 2, 7, 7, 8, 7, 9, 8, 0, 9, 9, 5, 4, 4, 6, 6, 6, 7, 4, 0, 1, 7, 9, 0, 3, 0, 4, 2, 3, 9, 1, 4, 1, 0, 6, 0, 0, 2, 9, 4, 3, 9, 6, 4, 9, 7, 2, 9, 6, 8, 7, 4, 7, 6, 4, 6, 9, 9, 8, 9, 9, 8, 6, 7, 3, 7, 6, 7, 1, 2, 4, 8
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OFFSET
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1,2
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COMMENTS
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Gamma(x) stands for the gamma function (Euler's integral of the second kind), Psi(x) denotes the digamma function (logarithmic derivative of the gamma function).
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LINKS
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EXAMPLE
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-1.7815806901014616235785836618002982778798099544666740...
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MAPLE
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Digits:= 150: fsolve(GAMMA(x)+Psi(x)=0, x=-1.8);
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MATHEMATICA
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FindRoot[Gamma[x]+PolyGamma[x]==0, {x, -1.8}, WorkingPrecision->120][[1, 2]] // RealDigits[#, 10, 105]& // First
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PROG
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(PARI) default(realprecision, 120); solve(x = -1.80, -1.76, gamma(x)+psi(x))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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