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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 \…
math.CA2024
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,…
math.CA2024
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…