The difference between two Stieltjes constants

Abstract

The Stieltjes constants are the coefficients of the Laurent expansion of the Hurwitz zeta function and surprisingly little is known about them. In this paper we derive some relations for the difference between two Stieltjes constants together with various other relationships.

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Cited by in corpus (7)

• On an integral involving the digamma function
• Determination of the Stieltjes constants at rational arguments
• A formula connecting the Bernoulli numbers with the Stieltjes constants
• Some integrals and series involving the Stieltjes constants
• Some integrals involving the Stieltjes constants:Part II
• Errata and Addenda to Mathematical Constants
• On some new formulae involving the Stieltjes constants