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  • An accurate approximation of zeta-generalized-Euler-constant functions
    Lampret, Vito
    Z visoko natančnostjo sta ocenjeni funkciji ▫$$\gamma \left( s \right): = \sum\limits_{k = 1}^\infty {\left( {\frac{1}{k^s} - \int_k^{k + 1} {\frac{dx}{x^s}} } \right)}$$▫ in ▫$$\tilde \gamma \left( ... s \right): = \sum\limits_{k = 1}^\infty {\left( { - 1} \right)^{k + 1} \left( {\frac{1}{k^s} - \int_k^{k + 1} {\frac{dx}{x^s}} } \right)},$$▫ definirani na zaprtem intervalu ▫$[\,0,\infty)$▫, kjer je ▫$\gamma(1)$▫ Euler-Mascheronijeva konstanta in ▫$\widetilde{\gamma}(1) = \ln\frac{4}{\pi}$▫.
    Vir: Central European Journal of Mathematics. - ISSN 1895-1074 (Vol. 8, no. 3, 2010, str. 488-499)
    Vrsta gradiva - članek, sestavni del
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 15819097

    Povezava(-e):

    http://dx.doi.org/10.2478/s11533-010-0030-7
    http://www.springerlink.com/content/u0644531463hp524/fulltext.pdf

vir: Central European Journal of Mathematics. - ISSN 1895-1074 (Vol. 8, no. 3, 2010, str. 488-499)

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