Limiting values and inversion formulas along the cuts of the basic integral representation of \(p\)-analytic functions with characteristic \(p=e^{\alpha x}y^k\). (English. Russian original) Zbl 0355.30033
Ukr. Math. J. 28(1976), 449-457 (1977); translation from Ukr. Mat. Zh. 28, 579-591 (1976).
MSC:
30G20 | Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.) |
30E25 | Boundary value problems in the complex plane |
Citations:
Zbl 0183.08602References:
[1] | N. A. Pakhareva and I. N. Aleksandrovich, ?An integral representation of p-analytic functions with characteristic p = e?xyk,? Ukr. Mat. Zh.,20, No. 4, 504-513 (1968). |
[2] | I. N. Aleksandrovich, ?Inversion formulas for the integral representation of p-analytic functions with characteristic p = e?xyk for regions of a particular form,? in: Mathematical Physics [in Russian], No. 6, Nauka Dumka, Kiev (1969), pp. 3-11. |
[3] | G. N. Polozhii, Generalization of the Theory of Analytic Functions of a Complex Variable [in Russian], Izd. Kiev. Univ., Kiev (1965). · Zbl 0129.09803 |
[4] | A. A. Kapshivyi, ?Solutions of axially symmetric problems in potential theory and elasticity theory for a volume with a plane circular aperture,? Vychislitel’naya i Prikladnaya Matem., Izd. Kiev Un-ta, No. 12, 7-11 (1970). |
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