Abstract
In this paper, several theorems and relations are examined by using a generalized Laplace‐type integral transform. A generalization of the harmonic oscillator in a non‐resisting and resisting medium problems, initial‐boundary problems, and integral equations is solved via this integral transform. Furthermore, the well‐known series entitled as Basel problem is obtained in a similar way. Moreover, we compare numerically classical and newly introduced by us integral transform.
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