Bobenko, Alexander I.Its, Alexander2017-06-022017-06-022016Bobenko, A. I., & Its, A. (2016). The asymptotic behavior of the discrete holomorphic map $ Z^{a} $ via the Riemann–Hilbert method. Duke Mathematical Journal, 165(14), 2607-2682.https://hdl.handle.net/1805/12818We study the asymptotic behavior of the discrete analogue of the holomorphic map zaza. The analysis is based on the use of the Riemann–Hilbert approach. Specifically, using the Deift–Zhou nonlinear steepest descent method we prove the asymptotic formulas which were conjectured in 2000.enPublisher Policyasymptotic behaviorholomorphic mapRiemann-Hilbert approachArticle