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arXiv · 2101.11909

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

Hui Yu·Janne Heittokangas·Jun Wang·Zhi-Tao Wen
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Abstract

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

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Hui Yu, Janne Heittokangas, Jun Wang, Zhi-Tao Wen. 2021-01-28. Meromorphic functions of finite $\varphi$-order and linear Askey-Wilson divided difference equations. https://arxiv.org/abs/2101.11909

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