×

Haseman boundary value problems for metaanalytic functions with different shifts on the unit circumference. (English) Zbl 1132.30352

Summary: Haseman boundary value problems (BVPs) for a class of metaanalytic functions with different shifts on the unit circumference are investigated. The expression of solution and the condition of solvability for the problem are obtained by reducing the problem to an equivalent system of two Haseman BVPs for analytic functions.

MSC:

30G30 Other generalizations of analytic functions (including abstract-valued functions)
45E05 Integral equations with kernels of Cauchy type
Full Text: DOI

References:

[1] DOI: 10.1216/rmjm/1181071888 · Zbl 0902.30030 · doi:10.1216/rmjm/1181071888
[2] Begehr H, Analysis 25 pp 55– (2005)
[3] Mshimba AS, Zeitschrift für Analysis und ihre Anwendungen 18 pp 611– (1999)
[4] DOI: 10.1080/0278107031000103412 · Zbl 1146.30307 · doi:10.1080/0278107031000103412
[5] Wang YF, Acta Mathematica Scientia 24 pp 663– (2004)
[6] Wang YF, Journal of Applied Functional Analysis 2 pp 147– (2007)
[7] Fatulaev BF, Mathematical Modelling and Analysis 6 pp 68– (2001)
[8] DOI: 10.1080/17476930600667692 · Zbl 1105.30029 · doi:10.1080/17476930600667692
[9] DOI: 10.1080/02781070500086677 · Zbl 1080.30043 · doi:10.1080/02781070500086677
[10] Wang YF, Acta Mathematica Scientia (2008)
[11] Balk MB, Polyanalytic Functions (1991)
[12] DOI: 10.1023/A:1021469308636 · Zbl 1062.30055 · doi:10.1023/A:1021469308636
[13] Lu JK, Boundary Value Problems for Analytic Functions (1993)
[14] Muskhelishvili NI, Singular Integral Equations,, 2. ed. (1968)
[15] Vekua NP, Systems of Singular Integral Equations and Some Boundary Value Problems (1967)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.