G. Makatsaria
abstract:
The investigation of differential equations of the type
$$
\frac{\pa^n\om}{\pa\ol{z}^n}+a_{n-1}\frac{\pa^{n-1}\om}{\pa\ol{z}^{n-1}}+
a_{n-2}\frac{\pa^{n-2}\om}{\pa\ol{z}^{n-2}}+\cdots+a_0\om=0
$$
with sufficiently smooth coefficients $a_0,a_1,\dots,a_{n-1}$ (the theory of
meta-analytic functions) traces back to the work of G. Kolosov [6].
Subsequently, a vast number of papers in this direction were published by many
authors. The present work deals with some singular cases of the above-given
equation. Correct boundary value problems are pointed out, and their in a sense
complete analysis is given.
Mathematics Subject Classification: 30E25, 30G20
Key words and phrases: Meta-analytic functions, singular, elliptic, differential, equation, correct, boundary, problems