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Some further q-shift difference results on Hayman conjecture

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Abstract

In this paper, we investigate the zero distributions of q-shift difference-differential polynomials of meromorphic functions with zero-order that extends and generalizes the classical Hayman results of the zeros of differential polynomials to q-shift difference. We also investigate the uniqueness problem of q-shift difference-differential polynomials sharing a non-zero polynomial with finite weight.

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  1. Department of Mathematics, Malda College, Malda, 732101, West Bengal, India

    Goutam Haldar

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  1. Goutam Haldar
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Haldar, G. Some further q-shift difference results on Hayman conjecture. Rend. Circ. Mat. Palermo, II. Ser 71, 887–907 (2022). https://doi.org/10.1007/s12215-021-00628-4

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