Some integrals and series involving the Stieltjes constants

Abstract

Inter alia, we present a Fourier series involving the generalised Stieltjes constants.

References in corpus (5)

• The generalized-Euler-constant function $\gamma (z)$ and a generalization of Somos's quadratic recurrence constant
• Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume I
• The difference between two Stieltjes constants
• Some applications of the Dirichlet integrals to the summation of series and the evaluation of integrals involving the Riemann zeta function
• Summatory relations and prime products for the Stieltjes constants, and other related results

Cited by in corpus (1)

• On some new formulae involving the Stieltjes constants