Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Zeros and Value Sharing Results for q-Shifts Difference and Differential Polynomials

Version 1 : Received: 17 October 2018 / Approved: 18 October 2018 / Online: 18 October 2018 (12:20:26 CEST)

How to cite: Dhar, R. Zeros and Value Sharing Results for q-Shifts Difference and Differential Polynomials. Preprints 2018, 2018100424. https://doi.org/10.20944/preprints201810.0424.v1 Dhar, R. Zeros and Value Sharing Results for q-Shifts Difference and Differential Polynomials. Preprints 2018, 2018100424. https://doi.org/10.20944/preprints201810.0424.v1

Abstract

In this paper, we consider the zero distributions of q-shift monomi-als and difference polynomials of meromorphic functions with zero order, that extends the classical Hayman results on the zeros of differential poly-nomials to q-shift difference polynomials. We also investigate problem of q-shift difference polynomials that share a common value.

Keywords

Entire and Meromorphic function; q-shift; q-difference polynomial; shared values; Nevanlinna theory

Subject

Computer Science and Mathematics, Analysis

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