An Introduction to Complex Functions on Products of Two Time Scales

Author

Gusein Sh. Guseinov
Martin Bohner, Missouri University of Science and TechnologyFollow

Abstract

In this paper, we study the concept of analyticity for complex-valued functions of a complex time scale variable, derive a time scale counterpart of the classical Cauchy-Riemann equations, introduce complex line delta and nabla integrals along time scales curves, and obtain a time scale version of the classical Cauchy integral theorem.

Recommended Citation

G. S. Guseinov and M. Bohner, "An Introduction to Complex Functions on Products of Two Time Scales," Journal of Difference Equations and Applications, Taylor & Francis Group, Mar 2006.

The definitive version is available at https://doi.org/10.1080/10236190500489657

Department(s)

Mathematics and Statistics

Keywords and Phrases

Chaos Theory; Combinatorics; Computational Numerical Analysis; Differential Equations; Linear & Multilinear Algebra; Mathematical Biology; Mathematical Numerical Analysis; Special Functions

International Standard Serial Number (ISSN)

1023-6198

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Taylor & Francis Group, All rights reserved.

Publication Date

01 Mar 2006