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期刊=Advances in Pure Mathematics

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Asymptotic Behaviors of Hankel Determinants Whose Entries Involve Regularly- or Rapidly-Varying Functions. Part II*: 《Advances in Pure Mathematics》2025年第2期119-144,共26页Antonio Granata; 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 la...; 关键词：Asymptotic Behaviors of Hankel Determinants Asymptotic Expansions in the Real Domain Regularly- Rapidly- and Exponentially-Varying Functions of Higher Order Algebraic Identities for Hankelians

Asymptotic Behaviors of Hankelians, Whose Entries Involve Regularly- or Rapidly-Varying Functions, as the Variable Tends to +∞. Part I: 《Advances in Pure Mathematics》2024年第11期817-858,共42页Antonio Granata; The rich literature concerning “asymptotic behavior of Hankel determinants” concerns the behavior, as the order n tends to ∞, of Hankel determinants whose entries are numbers, e.g., with a combinatorial interest or...; 关键词：Asymptotic Behaviors of Hankelians Asymptotic Expansions in the Real Domain Regularly- Rapidly- and Exponentially-Varying Functions of Higher Order

The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part I: Higher-Order Regular, Smooth and Rapid Variation被引量：2: 《Advances in Pure Mathematics》2016年第12期776-816,共42页Antonio Granata; Motivated by a general theory of finite asymptotic expansions in the real domain for functions f of one real variable, a theory developed in a previous series of papers, we present a detailed survey on the classes of ...; 关键词：Higher-Order Regularly-Varying Functions Higher-Order Rapidly-Varying Functions Smoothly-Varying Functions Exponentially-Varying Functions Asymptotic Functional Equations

The Theory of Higher-Order Types of Asymptotic Variation for Differentiable Functions. Part II: Algebraic Operations and Types of Exponential Variation被引量：2: 《Advances in Pure Mathematics》2016年第12期817-867,共52页Antonio Granata; In this second part, we thoroughly examine the types of higher-order asymptotic variation of a function obtained by all possible basic algebraic operations on higher-order varying functions. The pertinent proofs are s...; 关键词：Higher-Order Regularly-Varying Functions Higher-Order Rapidly-Varying Functions Smoothly-Varying Functions Exponentially-Varying Functions Asymptotic Functional Equations Asymptotic Expansions

Approximation Theorems for Exponentially Bounded <i>a</i>-Times Integrated Cosine Function: 《Advances in Pure Mathematics》2014年第11期580-584,共5页Lufeng Ling; In this paper, based on the theories of α-times Integrated Cosine Function, we discuss the approximation theorem for α-times Integrated Cosine Function and conclude the approximation theorem of exponentially bounded...; 关键词：α-Times INTEGRATED COSINE Function EXPONENTIALLY BOUNDED Approximation

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