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math.CV2021
Meromorphic functions of finite -order and linear Askey-Wilson divided difference equations
Hui Yu, Janne Heittokangas, Jun Wang +1
The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated. The -order is used as a general growth indi…
math.CV2020
Meromorphic functions of finite -order and linear -difference equations
Janne Heittokangas, Jun Wang, Zhi-Tao Wen +1
The -order was introduced in 2009 for meromorphic functions in the unit disc, and was used as a growth indicator for solutions of linear differential equations. In this paper, t…
math.CV2019
On the number of linearly independent rapid solutions to linear differential and linear difference equations
Janne Heittokangas, Hui Yu, M. Amine Zemirni
Assuming that are entire functions and that is the smallest index such that is transcendental, then, by a classical theorem of Fr…