Abstract
We discuss some issues concerning solutions of the functional equation
in the class of analytic functions P mapping \({\overline{D}^2}\)(\({\overline{D}}\) stands for the closure of the unit disc D in the complex plane \({\mathbb{C}}\)) into \({\mathbb{C}}\). Here \({r_j,s_j\in (0,1)}\) for \({j=1,2}\) are fixed, \({\xi_j=r_js_j}\), \({\widehat{q}=1-q}\) for every \({q \in \mathbb{R}}\) and
The equation arises in a two-dimensional queueing model for a LAN gateway.
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Dedicated to Professor Roman Ger on the occasion of his 70th birthday
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Brzdęk, J., El-hady, Es., Förg-Rob, W. et al. A note on solutions of a functional equation arising in a queuing model for a LAN gateway. Aequat. Math. 90, 671–681 (2016). https://doi.org/10.1007/s00010-016-0421-3
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DOI: https://doi.org/10.1007/s00010-016-0421-3