LINEAR CONJUGATION PROBLEMS
DOI:
https://doi.org/10.18413/2687-0959-2020-52-2-55-61Keywords:
Linear Conjugation Problems, the Goursat Formula, Cauchy Singular Integral, Functions of Canonic Matrices, Singular Integral EquationsAbstract
We investigate the linear conjugation problem for polyanalytic functions using function theory and
Cauchy-type integrals. We explicitly construct a canonical matrix-function by using the recurrence procedure
and use it to study the linear conjugation problem. We found a solutions of the linear conjugation problem and
given a formula for its index by using Cauchy type integrals. We got a representation of the solution of the linear
conjugation problem through the canonical matrix-function, which is constructed explicitly.
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References
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