Transition asymptotics of Toeplitz determinants and emergence of Fisher–Hartwig representations
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DOI: 10.1088/1361-6544/ab127a
Abstract: We compute the transition asymptotics (double-scaling limits) of Toeplitz determinants generated by symbols ft possessing Fisher-Hartwig singularities. The symbols ft that we consider depend on a parameter t such that ft has one Fisher-Hartwig singularity… read more here.
Keywords: asymptotics toeplitz; fisher hartwig; emergence fisher; toeplitz determinants ... See more keywords
Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution
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DOI: 10.3390/sym15020262
Abstract: In this work, we derive coefficient bounds for the symmetric Toeplitz matrices T2(2), T2(3), T3(1), and T3(2), which are the known first four determinants for a new family of analytic functions with Borel distribution series… read more here.
Keywords: family analytic; toeplitz determinants; analytic functions; borel distribution ... See more keywords