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May 28, 2026Symmetry0 citationsOpen Access

Impact of Parameters on Hyperbolic Ateb-Function Generalization

Investigating Impact of Parameters on Hyperbolic Function Generalization

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Authors

KDKhrystyna DrohomyretskaHDHubert DróżdżIDIvanna Dronyuk

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Overview

Investigating parameter influence on hyperbolic Ateb-functions, revealing properties and advantages of Taylor series expansion.

Key Points

  • This research aims to explore the generalization of hyperbolic Ateb-functions and their parameter dependencies.
  • Analyzed the domain of hyperbolic Ateb-functions and their parameters.
  • Proved formulas for derivatives and examined higher-order derivatives.
  • Compared Ateb-function calculations using Taylor expansions with numerical methods.
  • Established that the minimum value of the domain relates to the lemniscate constant.
  • Proved relevant theorems via mathematical induction on Taylor expansions.
  • Demonstrated that Taylor series provide advantages over numerical methods for Ateb-function calculations.

Cite This Study

Drohomyretska et al. (2026) studied this question.

synapsesocial.com/papers/6a17dd4e3fad632b0f9d9febhttps://doi.org/10.3390/sym18060905
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