10 citations · 20 across the 7 of their papers we have counts for
5 papers · 1 filter
The partition function in terms of the classical Möbius function
Mircea Merca, Maxie D. Schmidt
In this paper, we investigate decompositions of the partition function from the additive theory of partitions considering the famous Möbius function from multiplicati…
New Congruences and Finite Difference Equations for Generalized Factorial Functions
Maxie D. Schmidt
We use the rationality of the generalized convergent functions, , to the infinite J-fraction expansions enumerating the generalized factorial product sequ…
Zeta Series Generating Function Transformations Related to Generalized Stirling Numbers and Partial Sums of the Hurwitz Zeta Function
Maxie D. Schmidt
We define a generalized class of modified zeta series transformations generating the partial sums of the Hurwitz zeta function and series expansions of the Lerch transcendent funct…
Combinatorial Identities for Generalized Stirling Numbers Expanding -Factorial Functions and the -Harmonic Numbers
Maxie D. Schmidt
We introduce a class of -factorials, or -Pochhammer symbols, that includes many, if not most, well-known factorial and multiple factorial function variants as special c…
A Computer Algebra Package for Polynomial Sequence Recognition
Maxie D. Schmidt
The software package developed in the MS thesis research implements functions for the intelligent guessing of polynomial sequence formulas based on user-defined expected sequence f…