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Asymptotic Behaviors of Hankel Determinants Whose Entries Involve Regularly- or Rapidly-Varying Functions. Part II *
Department of Mathematics and Computer Science University of Calabria, Rende (Cosenza), Italy
- 1 Department of Mathematics and Computer Science University of Calabria, Rende (Cosenza), Italy
Advances in Pure Mathematics·Volume 15 (2025)·Pages 119–144·Published 28 February 2025·DOI10.4236/apm.2025.152006
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Abstract
Here we complete our work on the asymptotics of Hankel determinants studying the case wherein the entries are “ultrarapidly”-varying functions in the sense that their logarithms are rapidly varying. Moreover, the last results in the paper highlight analogies between algebraic identities for Hankelians with special entries and asymptotic relations valid for large classes of entries.
KeywordsAsymptotic Behaviors of Hankel DeterminantsAsymptotic Expansions in the Real DomainRegularly-Rapidly- and Exponentially-Varying Functions of Higher OrderAlgebraic Identities for Hankelians
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