${q}_{k}-$Laplace Transform on Quantum Integral

Year 2024, Volume: 16 Issue: 1, 103 - 118, 30.06.2024

Mehmet Çağrı Yılmazer Sertaç Göktaş Emrah Yılmaz Mikail Et

https://doi.org/10.47000/tjmcs.1343335

Abstract

In this study, we present $q_{k}-$Laplace transform by $q_{k}-$integral on quantum analogue. We give some properties of $q_{k}-$Laplace transform. The $q_{k}-$Laplace transforms of some common functions are calculated.

Keywords

Laplace transformation, $q-$calculus, ${q}_{k}-$calculus

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