Annales Academię Scientiarum Fennicę
Mathematica
Volumen 35, 2010, 571-580

TWO-VARIABLE WIMAN-VALIRON THEORY AND PDES

P.C. Fenton and John Rossi

University of Otago, Department of Mathematics and Statistics
P.O. Box 56, Dunedin, New Zealand; pfenton 'at' maths.otago.ac.nz

Virginia Tech, Department of Mathematics
Blacksburg, VA 24061-0123, U.S.A.; rossij 'at' math.vt.edu

Abstract. We show how Wiman-Valiron techniques can be applied to partial differential equations in two complex variables.

2000 Mathematics Subject Classification: Primary 32A15.

Key words: Wiman-Valiron theory, entire function of two variables.

Reference to this article: P.C. Fenton and J. Rossi: Two-variable Wiman-Valiron theory and PDEs. Ann. Acad. Sci. Fenn. Math. 35 (2010), 571-580.

Full document as PDF file

doi:10.5186/aasfm.2010.3535

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