2017
Том 69
№ 9

All Issues

Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical

Plaksa S. A., Pukhtaevich R. P.

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Abstract

We present a constructive description of monogenic functions that take values in a three-dimensional commutative harmonic algebra with one-dimensional radical by using analytic functions of complex variable. It is shown that monogenic functions have the Gâteaux derivatives of all orders.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 5, pp 740-751.

Citation Example: Plaksa S. A., Pukhtaevich R. P. Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical // Ukr. Mat. Zh. - 2013. - 65, № 5. - pp. 670–680.

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