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- W3033757559 abstract "A contragenic function in a domain Ω⊆R3 is a reduced-quaternion valued (i.e the last quaternionic coordinate is zero) harmonic function, which is orthogonal in L2(Ω) to all reduced-quaternion monogenic functions and their conjugates. Contragenicity is not a local property. For spheroidal domains of arbitrary eccentricity, we relate standard orthogonal bases of harmonic and contragenic functions for one spheroid to another via computational formulas. This permits us to show that there exist nontrivial contragenic functions common to the spheroids of all eccentricities." @default.
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- W3033757559 date "2020-11-01" @default.
- W3033757559 modified "2023-10-16" @default.
- W3033757559 title "Relations among spheroidal and spherical harmonics" @default.
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- W3033757559 doi "https://doi.org/10.1016/j.amc.2020.125147" @default.
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