Abstract
Exponential type functions are important subclasses of transcendental entire functions. In this paper, we will use some results given by Steinmetz (Manuscr Math 26:155–167, 1978) to consider the zeros of difference or differential-difference polynomials of exponential polynomials. In addition, we also consider the zeros of difference polynomials of exponential type functions with infinite order.
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Communicated by Ilpo Laine.
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This work was partially supported by the NSFC (No. 11661052), the outstanding youth scientist foundation plan of Jiangxi (No. 20171BCB23003). Xinling Liu was also supported by the EDUFI Fellowship.
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Liu, K., Gao, L. & Liu, X. Zero Distribution on Differential-Difference Polynomials of Exponential Type Functions. Comput. Methods Funct. Theory 19, 717–728 (2019). https://doi.org/10.1007/s40315-019-00290-z
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DOI: https://doi.org/10.1007/s40315-019-00290-z