Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers
arXiv:2109.01515
Abstract
In this paper, we present two new generalizations of the Euler-Mascheroni constant arising from the Dirichlet series associated to the hyperharmonic numbers. We also give some inequalities related to upper and lower estimates, and evaluation formulas.
References in corpus (5)
- The generalized-Euler-constant function and a generalization of Somos's quadratic recurrence constant
- Expansions of generalized Euler's constants into the series of polynomials in and into the formal enveloping series with rational coefficients only
- On an integral involving the digamma function
- Shifted Euler constants and a generalization of Euler-Stieltjes constants
- A special constant and series with zeta values and harmonic numbers