11 citations · 40 across the 28 of their papers we have counts for
7 papers · 1 filter
Continued Fractions for Square Series Generating Functions
Maxie D. Schmidt
We consider new series expansions for variants of the so-termed ordinary geometric square series generating functions originally defined in the recent article titled "Square Series…
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…
Generating Function Transformations Related to Polylogarithm Functions and the -Order Harmonic Numbers
Maxie D. Schmidt
We define a new class of generating function transformations related to polylogarithm functions, Dirichlet series, and Euler sums. These transformations are given by an infinite su…
Jacobi Type Continued Fractions for the Ordinary Generating Functions of Generalized Factorial Functions
Maxie D. Schmidt
The article studies a class of generalized factorial functions and symbolic product sequences through Jacobi type continued fractions (J-fractions) that formally enumerate the dive…
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…