Vacca-type series for values of the generalized-Euler-constant function and its derivative

zbMath1203.11087arXiv0808.0410MaRDI QIDQ3580567

Tatiana Hessami Pilehrood, Khodabakhsh Hessami Pilehrood

Publication date: 13 August 2010

Full work available at URL: https://arxiv.org/abs/0808.0410

zbMATH Keywords

generating functionGlaisher-Kinkelin constantmathematical constantsEuler constantseries summationgeneralized Euler constantsLerch transcendentgeneralized Somos constantsVacca-type series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Convergence and divergence of series and sequences (40A05) Numerical summation of series (65B10) Evaluation of number-theoretic constants (11Y60)

Related Items (12)

On Somos' quadratic recurrence constant ⋮ Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant ⋮ Approximation formulas related to Somos' quadratic recurrence constant ⋮ Sharp inequalities and asymptotic series related to Somos' quadratic recurrence constant ⋮ Unnamed Item ⋮ On a general inequality related to the generalized-Euler-constant function ⋮ Asymptotic expansions for certain mathematical constants and special functions ⋮ Summation of rational series twisted by strongly \(B\)-multiplicative coefficients ⋮ Approximations of the generalized-Euler-constant function and the generalized Somos' quadratic recurrence constant ⋮ A note on products involving \(\zeta (3)\) and Catalan's constant ⋮ Another Alternating Analogue of Euler’s Constant ⋮ Yet another representation for reciprocals of the nontrivial zeros of the Riemann zeta function

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