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HurwitzZeta

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Hurwitz zeta function Sum 1/(k+a)^s

HurwitzZeta[s, a]
HurwitzZeta[3, .2] → 125.73901805721795Plot[HurwitzZeta[2, x], {x, -2, 2}] → -Graphics-Series[HurwitzZeta[2, x], {x, 0, 5}] → SeriesData[x, 0, {ComplexInfinity, Derivative[0, 1][HurwitzZeta][2, 0], Derivative[0, 2][HurwitzZeta][2, 0]/2, Derivative[0, 3][HurwitzZeta][2, 0]/6, Derivative[0, 4][HurwitzZeta][2, 0]/24, Derivative[0, 5][HurwitzZeta][2, 0]/120}, 0, 6, 1]

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