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Meromorphic functions of finite $\varphi$-order and linear Askey-Wilson divided difference equations

Complex Variables 2021-01-29 v1

Abstract

The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated. The φ\varphi-order is used as a general growth indicator, which covers the growth spectrum between the logarithmic order ρlog(f)\rho_{\log}(f) and the classical order ρ(f)\rho(f) of a meromorphic function ff.

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Cite

@article{arxiv.2101.11909,
  title  = {Meromorphic functions of finite $\varphi$-order and linear Askey-Wilson divided difference equations},
  author = {Hui Yu and Janne Heittokangas and Jun Wang and Zhi-Tao Wen},
  journal= {arXiv preprint arXiv:2101.11909},
  year   = {2021}
}

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14 pages