The paper generalizes the traditional single factorial function to integer-valued multiple factorial (j-factorial) forms. The generalized factorial functions are defined recursively as triangles ofâ€¦ (More)

The article studies a class of generalized factorial functions and symbolic product sequences through Jacobi-type continued fractions (J-fractions) that formally enumerate the typically divergentâ€¦ (More)

The software package developed in the thesis research implements functions for the intelligent guessing of polynomial sequence formulas based on userâ€“defined expected sequence factors of the inputâ€¦ (More)

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 sum over the jthâ€¦ (More)