4 papers · 1 filter
New identities for the Laplace transform and their applications
Abdulhafeez A. Abdulsalam, Ammar K. Mohammed
In this paper, we begin by applying the Laplace transform to derive closed forms for several challenging integrals that seem nearly impossible to evaluate. By utilizing the solutio…
Closed form for through the Hermite integral representation of the Hurwitz zeta function
Abdulhafeez A. Abdulsalam
Sums of positive integer powers have captivated the attention of mathematicians since ancient times. Over the centuries, mathematicians from diverse backgrounds have provided expre…
An Alternate proof for a case of a Malmsten integral
Abdulhafeez Ayinde Abdulsalam
In this paper, a direct proof is presented for a case of a Malmsten integral. The method used in solving the integral is a direct one that the author has not come accross in any ol…
New Integral Representations for the Bessel Functions
Abdulhafeez A. Abdulsalam, M. E. Egwe
In this paper, new integral representations for the Bessel and functions were presented and their results were used to derive an expression for the Modified Bessel func…