4 papers
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…
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 \…
An Algebra of Elliptic Commuting Variables and an Elliptic Extension of the Multinomial Theorem
Michael J. Schlosser
We introduce an algebra of elliptic commuting variables involving a base , nome , and noncommuting variables. This algebra, which for reduces to an algebra conside…
On an identity of Chaundy and Bullard. III. Basic and elliptic extensions
Natsuko Hoshi, Makoto Katori, Tom H. Koornwinder +1
The identity by Chaundy and Bullard expresses as a sum of two truncated binomial series in one variable where the truncations depend on two different non-negative integers. We…