Relative order of entire functions of several complex variables

Authors

  • Ratan Kumar Dutta Department of Mathematics, Siliguri Institute of Technology, Hill Cart Road, Post.- Sukna, Siliguri, Dist.-Darjeeling, West Bengal, India Author

Keywords:

Entire functions, relative order, several complex variables, polydisc, property (R)

Subjects:

32A15

Abstract

In this paper we introduce the idea of relative order of entire functions ofseveral complex variables. After proving some basic results, we observe thatthe relative order of a transcendental entire function with respect to anentire function is the same as that of its partial derivatives. Further westudy the equality of relative order of two functions when they areasymptotically equivalent.

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Published

2013-04-15

Issue

Vol. 65 No. 2 (2013): Vol. 65, Issue 2

Section

Articles

License

Copyright (c) 2013 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.