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.