Alpha fractional frequency Laplace transform through multiseries

[摘要] Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of circular functions as well. For use in numerical results, we derive a finite summation formula and m-series formulas. Moreover, we discuss various explanatory examples.

[学科分类] 航空航天科学

[关键词] Circular function;Multiseries;Laplace transform;Fractional frequency;Tuning factor