3 papers
math.GM2026
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…
math.CO2026
Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities
Abdulhafeez A. Abdulsalam, Michael J. Schlosser
We begin with the observation that the signed generalized Stirling polynomials , which occur in a generalization of Malmsten's integral, reduce to the falling factorials…
math.CA2026
Well-poised basic q-Taylor expansions with complementary remainders and a two-basis kernel
Abdulhafeez A. Abdulsalam, Michael J. Schlosser
We prove a nonterminating well-poised basic -Taylor expansion with complementary remainders for a two-basis infinite-product kernel implicitly proposed by the second author in \…