Structural Definition of Factorials and n_+, n_-, n_/ via Differential and Integral Operators

Key Points

• The aim is to define factorials and specific operators using differential and integral methods.
• Utilized differential and integral operators to analyze factorial structures.
• Developed mathematical frameworks for defining n_+, n_-, and n_/.
• Provided a new mathematical framework for understanding the factorial operation.
• Demonstrated how differential and integral approaches can redefine existing operator concepts.

Abstract