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Aleksandrovich, I. N.

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).
Reviewer: Petru Caraman (Iaşi)
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scan of Zbl 0355.30033

MSC:

30G20 Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.)
30E25 Boundary value problems in the complex plane

Keywords:

limiting values; inversion formulas; integral representation; \(p\)-analytic functions

Citations:

Zbl 0183.08602
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Full Text: DOI

References:

[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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