DLMF:25.11.E20 (Q7694)

From DRMF
Revision as of 11:40, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:25.11.E20
No description defined

    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle (-1)^{k}\Hurwitzzeta^{(k)}@{s}{a}=\frac{(\ln@@{a})^{k}}{a^{s}}\left(\frac{1}{2}+\frac{a}{s-1}\right)+k!a^{1-s}\sum_{r=0}^{k-1}\frac{(\ln@@{a})^{r}}{r!(s-1)^{k-r+1}}-\frac{s(s+1)}{2}\int_{0}^{\infty}\frac{(\perBernoulliB{2}@{x}-\BernoullinumberB{2})(\ln@{x+a})^{k}}{(x+a)^{s+2}}\diff{x}+\frac{k(2s+1)}{2}\int_{0}^{\infty}\frac{(\perBernoulliB{2}@{x}-\BernoullinumberB{2})(\ln@{x+a})^{k-1}}{(x+a)^{s+2}}\diff{x}-\frac{k(k-1)}{2}\int_{0}^{\infty}\frac{(\perBernoulliB{2}@{x}-\BernoullinumberB{2})(\ln@{x+a})^{k-2}}{(x+a)^{s+2}}\diff{x},}
    0 references
    DLMF:25.11.E20
    0 references
    0 references
    0 references
    0 references
    C24.S2.SS1.m1acdec
    0 references
    C25.S11.E1.m2audec
    0 references
    C1.S4.SS4.m1addec
    0 references
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
    C1.S4.SS4.m3addec
    0 references
    C4.S2.E2.m2abdec
    0 references
    C24.S2.SS3.m1acdec
    0 references
    C1.S9.E2.m1ahdec
    0 references
    C25.S1.XMD5.m1fdec
    0 references
    C25.S1.XMD6.m1rdec
    0 references
    C25.S1.XMD7.m1odec
    0 references
    C25.S11.XMD2.m1adec
    0 references