Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-10T13:42:43.340Z Has data issue: false hasContentIssue false

DOUBLING TROPICAL $q$-DIFFERENCE ANALOGUE OF THE LEMMA ON THE LOGARITHMIC DERIVATIVE

Published online by Cambridge University Press:  12 September 2018

SI-QI CHENG*
Affiliation:
Department of Mathematics, Taiyuan University of Technology, Shanxi 030024, China email chengsiqi0781@link.tyut.edu.cn, 1356992134@qq.com
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We present a tropical $q$-difference analogue of the lemma on the logarithmic derivative for doubling tropical meromorphic functions.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

References

Barnett, D. C., Halburd, R. G., Morgan, W. and Korhonen, R. J., ‘Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations’, Proc. Roy. Soc. Edinburgh Sect. A 137(3) (2007), 457474.Google Scholar
Halburd, R. G. and Southall, N. J., ‘Tropical Nevanlinna theory and ultradiscrete equations’, Int. Math. Res. Not. IMRN 39 (2009), 887911.Google Scholar
Hayman, W. K., ‘On the characteristic of functions meromorphic in the plane and of their integrals’, Proc. Lond. Math. Soc. 14A (1965), 93128.Google Scholar
Korhonen, R. J., Laine, I. and Tohge, K., Tropical Value Distribution Theory and Ultra-Discrete Equations (World Scientific, Singapore, 2015).Google Scholar
Laine, I., Liu, K. and Tohge, K., ‘Tropical variants of some complex analysis results’, Ann. Acad. Sci. Fenn. Math. Diss. 41 (2016), 923946.Google Scholar
Laine, I. and Tohge, K., ‘Tropical Nevanlinna theory and second main theorem’, Proc. Lond. Math. Soc. 102(5) (2011), 883922.Google Scholar
Tan, C. Q. and Li, J., ‘Some characterizations of upper doubling conditions on metric measure spaces’, Math. Nachr. 290 (2017), 142158.Google Scholar
Tsai, Y.-L., ‘Working with tropical meromorphic functions of one variable’, Taiwanese J. Math. 16 (2012), 691712.Google Scholar