Abstract
In this paper the integral of Cauchy type, its some properties and the generalized theorem Harnack for bianalytic functions are obtained. These results are very useful for applications, especially, for solvability of boundary value problems for bianalytic functions.
Research supported by The National Natural Science Foundation of China.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zhao Zhen, Bianalytic functions, complex harmonic functions and their basic boundary value problem, Journal of Beijing Normal University, Natural Sei., 31 (1995), No. 2, 175–179.
Zhao Zhen, Bianalytic functions and its applications, Proceedings of second Asian Math. Conference, (1995. 11, in Tailand), 1–5.
Zhao Zhen, Riemman Hilbert’s problem for bianalytic functions, Journal of Beijing Normal University, Natural Sei., 32 (1996), No. 3.
Zhao Zhen, Schwarz’s problems for complex partial differential equations of second order, Beijing Mathematics, part 1, 1996, No 2, 131–137.
Zhao Zhen, Some Boundary problems for bianalytic and complex harmonic functions, Report on International conference of complex analyses, Ningxia University, China, 1996, 8.
Zhao Zhen and Chenfang Quan, Dirichlet’s problems for bianalytic functions, Journal of Beijing Normal University, Natural Sci., 34 (1998), No. 3, 174–178.
Zhao Zhen, Cauchy formula, integral of Cauchy type and Hilbert problem for bianalytic functions, Proceedings of ISAAC, 1997, USA, Deleware University, Kluwer Academic Publishers, 1998, 211–218.
Zhao Zhen, The Schwarz’s problem for a class of complex partial differential equation of third order, Journal of Ningxia University, Natural Sci., 9 (1998), No 1, 6–8.
Lu Jian-ke, Complex Methods of Plane Elasticity, Publ. house of Wuhan university, 1986 (in Chinese).
Mushkelishvili N. I., Singular Integral Equation, Noordhoof, Groningen, 1953.
Vekya I. N., Generalized Analytic Functions, Moskow, 1959 (in Russian).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Kluwer Academic Publishers
About this chapter
Cite this chapter
Zhao, Z. (2000). On the Integral of Cauchy Type and the Generalized Harnack Theorem for Bianalytic Functions. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_29
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0269-8_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7970-6
Online ISBN: 978-1-4613-0269-8
eBook Packages: Springer Book Archive