On Relations between Harmonic and Panharmonic Functions

نویسندگان

چکیده

The m-dimensional modified Helmholtz equation is considered and two relations between its solutions (called panharmonic functions) harmonic functions are established in a bounded domain. Both essentially rely on properties of the Newtonian potential. Other characteristics also obtained.

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2022

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-022-06154-7