Application of pseudo‐trigonometry to Bessel series and integrals of Bessel functions

Abstract

In this article, an extension of the Laplace transform of Jn (t) to pseudo‐trigonometric function is discussed. We are seeking elementary functions expressed by Bessel series. It is shown that the result is applicable to the solution of the first‐order differential equation. The expression of modified Bessel integral formulas in pseudo‐trigonometric function is also discussed.