Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions
Combinatorics
2026-01-22 v1
Abstract
In this paper, we include some new results for the Lucas calculus. A Lucas-Pantograph type exponential function is introduced. Additionally, we define Lucas-Pantograph type trigonometric functions, and some of their most notable identities are given: parity, sum and difference formulas, Pythagorean identities, double-angle identities, and some special values. Lucas-Pantograph type hyperbolic functions are also introduced.
Cite
@article{arxiv.2601.15272,
title = {Lucas-Pantograph Type Exponential, Trigonometric, and Hyperbolic Functions},
author = {Ronald Orozco López},
journal= {arXiv preprint arXiv:2601.15272},
year = {2026}
}