4 papers · 1 filter
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 \…
New closed forms for a dilogarithmic integral, related integrals, and series
Abdulhafeez A. Abdulsalam
In this study, we present a new closed form for the generalized integral where $a \in \mathbb{C} \setminus(-\infty,…
New closed forms for a class of digamma series and integrals
Abdulhafeez A. Abdulsalam
The pursuit of closed forms for infinite series has long been a focal point of research. In this paper, we contribute to this endeavor by presenting closed forms for the class of d…
A new approach to evaluating Malmsten's integral and related integrals
Abdulhafeez A. Abdulsalam
This paper discusses generalizations of logarithmic and hyperbolic integrals. A new proof for an integral presented by Vardi and several other integrals in relation to known mathem…