Abstract
Using a power series to solve an ordinary differential equation will often result in a solution whose general term involves a product of terms from an arithmetic sequence. This paper explores how factorials and the gamma function can be used to rewrite such general terms in a closed form.
Disciplines
Ordinary Differential Equations and Applied Dynamics
Recommended Citation
Wilson, Steven J., "Series Solutions, Factorials, And The Gamma Function" (1994). Topics in Mathematics. 1.
https://scholarspace.jccc.edu/topmath/1
COinS
Comments
This paper was originally prepared for student use in a beginning class in Ordinary Differential Equations.