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On Certain First-Order Partial Differential Equations in Cn

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Harmonic Analysis, Signal Processing, and Complexity

Part of the book series: Progress in Mathematics ((PM,volume 238))

Abstract

The paper is concerned with description of entire solutions in C n to first-order partial differential equations of the form \( \frac{{\partial w}} {{\partial z_j }} = p(z)f(w)\) , where p and f are entire or meromorphic functions in C n and C, respectively. Descriptions will be given and complemented by various examples for completeness.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Carlos A. Berenstein

  2. Department of Mathematics, Florida International University, Miami, FL, 33199, USA

    Bao Qin Li

Authors
  1. Carlos A. Berenstein
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  2. Bao Qin Li
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, I-20133, Milano, Italy

    Irene Sabadini

  2. Department of Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA

    Daniele C. Struppa  & David F. Walnut  & 

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© 2005 Birkhäuser Boston

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Berenstein, C.A., Li, B.Q. (2005). On Certain First-Order Partial Differential Equations in Cn . In: Sabadini, I., Struppa, D.C., Walnut, D.F. (eds) Harmonic Analysis, Signal Processing, and Complexity. Progress in Mathematics, vol 238. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4416-4_3

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