10 citations · 19 across the 10 of their papers we have counts for
4 papers · 2 filters
Factorization Theorems for Generalized Lambert Series and Applications
Mircea Merca, Maxie D. Schmidt
We prove new variants of the Lambert series factorization theorems studied by Merca and Schmidt (2017) which correspond to a more general class of Lambert series expansions of the…
Factorization Theorems for Hadamard Products and Higher-Order Derivatives of Lambert Series Generating Functions
Maxie D. Schmidt
We first summarize joint work on several preliminary canonical Lambert series factorization theorems. Within this article we establish new analogs to these original factorization t…
Generating Special Arithmetic Functions by Lambert Series Factorizations
Mircea Merca, Maxie D. Schmidt
We summarize the known useful and interesting results and formulas we have discovered so far in this collaborative article summarizing results from two related articles by Merca an…
Continued Fractions and -Series Generating Functions for the Generalized Sum-of-Divisors Functions
Maxie D. Schmidt
We construct new continued fraction expansions of Jacobi-type J-fractions in whose power series expansions generate the ratio of the -Pochhamer symbols, $(a; q)_n / (b; q)_n…