Uniqueness theorems of the Hahn difference operator of entire function with a Picard exceptional value

Uniqueness theorems of the Hahn difference operator of entire function with a Picard exceptional value

Let be a transcendental entire function of finite order with a Picard exceptional value , and are complex constants. The authors prove that if and share value CM, where is the Hahn difference operator. This result generalizes the related results of Zongxuan Chen [ , Acta Math. Sci. (2014), 653–659]....

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2023-07, Vol.21 (1), p.4-34
Hauptverfasser: Zhang, Xiaomei, Wu, Zhaojun
Format: Artikel
Sprache:eng
Schlagworte:
30D30
Complex constants
difference operator
Entire functions
Finite differences
Hahn difference operator
Jackson
jackson q-difference operator
Operators (mathematics)
Picard exceptional values
uniqueness
Uniqueness theorems
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Beschreibung
Zusammenfassung:Let be a transcendental entire function of finite order with a Picard exceptional value , and are complex constants. The authors prove that if and share value CM, where is the Hahn difference operator. This result generalizes the related results of Zongxuan Chen [ , Acta Math. Sci. (2014), 653–659].
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2022-0601