© 2016, Pleiades Publishing, Ltd.The interior uniqueness theorem for analytic functions was generalized by M.B. Balk to the case of polyanalytic functions of order n. He proved that, if the zeros of a polyanalytic function ...

© 2015, Allerton Press, Inc. We consider solution f to a linear elliptic differential equation of second order, and prove that it vanishes if zeros of f condense to two points along non-collinear rays. The requirement of ...

For the solutions of the elliptic equation with constant coefficients, we prove a uniqueness theorem similar to the interior uniqueness theorem for analytic functions. © 2011 Pleiades Publishing, Ltd.

© 2019, Allerton Press, Inc. For a homogeneous differential second-order equation of elliptic type with constant coefficients, we study the boundary-value problem of finding doubly periodic solutions for given jumps of the ...

Let R be the Riemann surface of the function u(z) specified by the equation u n = P(z) with n ∈ ℕ, n ≥ 2, and z ∈ ℂ, where P(z) is an entire function with infinitely many simple zeros. On R, the Riemann boundary-value ...

On an arbitrary (in general, noncompact) Riemann surface R, we study integral operators T and II analogous to the operators introduced by Vekua in his theory of generalized analytic functions. By way of application, we ...