53 citations · 618 across the 64 of their papers we have counts for
65 papers
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 \…
Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities
Abdulhafeez A. Abdulsalam, Michael J. Schlosser
We study signed generalized Stirling polynomials arising in closed forms for Malmsten-type hyperbolic secant integrals. Their product structure is used to prove recurren…
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…
Expansions of averaged truncations of basic hypergeometric series
Michael J. Schlosser, Nian Hong Zhou
Motivated by recent work of George Andrews and Mircea Merca on the expansion of the quotient of the truncation of Euler's pentagonal number series by the complete series, we provid…
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…
A weighted extension of Fibonacci numbers
Gaurav Bhatnagar, Archna Kumari, Michael J. Schlosser
We extend Fibonacci numbers with arbitrary weights and generalize a dozen Fibonacci identities. As a special case, we propose an elliptic extension which extends the -Fibonacci…