The Bessel zeta function
نویسندگان
چکیده
Two representations of the Bessel zeta function are investigated. An incomplete representation is constructed using contour integration and an integral due to Hawkins fully evaluated (analytically continued) produce two infinite series. This new representation, at integer values argument, produces results that consistent with known (values, slope, pole structure). Not surprisingly, studied found have similar coefficients but a slightly different functional form. A Riemann obtained by allowing order go 1/2.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2022
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0105399