A Characterization of Harmonic Functions by Quadrature Identities on Annular Domains and Related Results
نویسندگان
چکیده
A new characterization of harmonic functions is obtained. It based on quadrature identities involving mean values over annular domains and concentric spheres lying within these or their boundaries. The analogous result with a logarithmic weight in the volume means conjectured. similar derived for real-valued solutions modified Helmholtz equation (panharmonic functions), whereas (metaharmonic functions) just outlined. Weighted value are also obtained equations two-dimensions. dependence coefficients analysed characterizations
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2023
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-023-06390-5