On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical
2017 ◽
Vol 25
(3)
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pp. 167-182
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Abstract We consider monogenic functions taking values in a three-dimensional commutative algebra A2 over the field of complex numbers with one- dimensional radical. We calculate the logarithmic residues of monogenic functions acting from a three-dimensional real subspace of A2 into A2. It is shown that the logarithmic residue depends not only on zeros and singular points of a function but also on points at which the function takes values in ideals of A2, and, in general case, is a hypercomplex number.
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2013 ◽
Vol 65
(5)
◽
pp. 740-751
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1988 ◽
Vol 46
◽
pp. 26-27
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2020 ◽
Vol E103.A
(4)
◽
pp. 704-709
2012 ◽
Vol 57
(4)
◽
pp. 724-803
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