Integration of Functions of a Hyperbolic Variable

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Abstract

This paper presents a systematic study of the theory of integration of hyperbolic-valued functions from a new point of view where the notion of partial order defined on the set of hyperbolic numbers and the notion of hyperbolic intervals have been taken into consideration. Starting with the definitions of partition of a hyperbolic interval and the definition of hyperbolic integral, the basic theorems of hyperbolic integration are proved, thus establishing a solid foundation of a theory that allows further developments.

Original languageEnglish
Article number35
JournalComplex Analysis and Operator Theory
Volume16
Issue number3
DOIs
StatePublished - Apr 2022
Externally publishedYes

Keywords

  • Functions of a hyperbolic variable
  • Hyperbolic numbers
  • Partial order

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