A conjecture-generalization of Sondow's formula
Petros Hadjicostas (Texas Tech University)
TL;DR
This paper proposes a generalized conjecture extending Sondow's formula, connecting integrals with the zeta and gamma functions, and includes a special case related to Euler's constant.
Contribution
It introduces a new conjectural double integral formula generalizing Sondow's work involving the zeta and gamma functions.
Findings
Proposes a conjecture generalizing Sondow's formula
Connects integrals with zeta and gamma functions
Includes a special case for Euler's constant
Abstract
An easy generalization of Beukers' integrals allows us to conjecture a double integral formula involving the zeta and the gamma functions. A special case of this formula is Sondow's double integral formula for Euler's constant gamma.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Mathematical Inequalities and Applications