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Granata, A. (2016) The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation. Advances in Pure Mathematics, 6, 776-816.
https://doi.org/10.4236/apm.2016.612063

has been cited by the following article:

• TITLE: Asymptotic Behaviors of Hankel Determinants Whose Entries Involve Regularly- or Rapidly-Varying Functions. Part II*

  AUTHORS: Antonio Granata

  KEYWORDS: Asymptotic Behaviors of Hankel Determinants, Asymptotic Expansions in the Real Domain, Regularly-, Rapidly- and Exponentially-Varying Functions of Higher Order, Algebraic Identities for Hankelians

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.2, February 28, 2025

  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.