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Uniqueness Theorems on Difference Monomials of Entire Functions

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  • Gang Wang
  • Deng-li Han
  • Zhi-Tao Wen

Abstract

The aim of this paper is to discuss the uniqueness of the difference monomials . It assumed that and are transcendental entire functions with finite order and , where is a nonzero complex constant and , are integers. It is proved that if one of the following holds (i) and , (ii) and , and (iii) and , then or for some constants and which satisfy and . It is an improvement of the result of Qi, Yang and Liu.

Suggested Citation

  • Gang Wang & Deng-li Han & Zhi-Tao Wen, 2012. "Uniqueness Theorems on Difference Monomials of Entire Functions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-8, July.
    • Handle: RePEc:hin:jnlaaa:407351
    DOI: 10.1155/2012/407351
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