Lazhar Fekih‐Ahmed
Abstract
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We derive a new integral formula for the Stieltjes constants. The new formula permits easy computations as well as an exact approximate asymptotic formula. Both the sign oscillations and the leading order of growth are provided. The formula can also be easily extended to generalized Euler constants.
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We derive a new integral formula for the Stieltjes constants. The new formula permits easy computations as well as an exact approximate asymptotic formula. Both the sign oscillations and the leading order of growth are provided. The formula can also be easily extended to generalized Euler constants.
Key concepts: Mathematics, Euler's formula, Sign (mathematics), Computation, Riemann–Stieltjes integral, Asymptotic formula, Constant (computer programming), Mathematical analysis