Abstract
In the present paper the differential equation
is investigated from a new point of view. Instead of the holomorphy of the coefficients, another sufficient condition is obtained which ensures the existence of at least two linearly independent solutions such that any solution may be extended to a holomorphic function.
Keywords
- Holomorphic Function
- Linear Partial Differential Equation
- Beltrami Equation
- Arbitrary Solution
- Holomorphic Extension
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References
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© 1985 Springer-Verlag
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Tutschke, W. (1985). Holomorphic extensions of functions on submanifolds: A generalization of H, lewy's example. In: Ławrynowicz, J. (eds) Seminar on Deformations. Lecture Notes in Mathematics, vol 1165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076166
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DOI: https://doi.org/10.1007/BFb0076166
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