# On some new formulae involving the Stieltjes constants

## TL;DR

This paper introduces new infinite series representations for the generalized Stieltjes constants involving logarithmic terms and explores related relations with derivatives of the Hurwitz zeta function.

## Contribution

It provides novel formulae for Stieltjes constants and investigates their connections with derivatives of the Hurwitz zeta function.

## Key findings

- New series representations for Stieltjes constants involving logarithms
- Relations between Stieltjes constants and derivatives of Hurwitz zeta function
- Enhanced understanding of the properties of Stieltjes constants

## Abstract

We show that the generalised Stieltjes constants may be represented by infinite series involving logarithmic terms. Some relations involving the derivatives of the Hurwitz zeta function are also investigated

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Source: https://tomesphere.com/paper/1902.00510