A class of analytic pairs of conjugate functions in dimension three
Keyword(s):
Abstract We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean 3-space. Convergence properties of the resulting series are investigated. Entire solutions which are not harmonic are found as well as a 2-parameter family of examples which contains the Hopf map.
1989 ◽
Vol 11
(3-4)
◽
pp. 215-222
◽
1966 ◽
Vol 16
(18)
◽
pp. 787-788
◽
1957 ◽
Vol 64
(4)
◽
pp. 236-240
◽
2013 ◽
Vol 09
(06)
◽
pp. 1447-1474
Keyword(s):
1990 ◽
Vol 30
(2)
◽
pp. 259-270
◽
Keyword(s):