Raabe's Formula For Gamma Function Via Riemann-Liouville Fractional Integrals And Generalized Glaisher Constants
General Mathematics
2025-05-30 v1
Abstract
In this paper, we prove Raabe-type integral formulas for gamma function via left and right sided Riemann-Liouville fractional integrals. As corollaries, we give the left and right sided repeated integration formulas for the log-gamma and related functions. The relationship between the generalized Glaisher constants and aforementioned integrals are investigated.
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Cite
@article{arxiv.2505.22666,
title = {Raabe's Formula For Gamma Function Via Riemann-Liouville Fractional Integrals And Generalized Glaisher Constants},
author = {Efe Gürel},
journal= {arXiv preprint arXiv:2505.22666},
year = {2025}
}
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9 pages