Evaluation of ∫ from x = 0 to x = 2π of exp(cos mx + cos nx)dx in terms of modified bessel functions of the first kind for m, n ∈ Z, x ∈ R

摘要

The integral ∫ from x = 0 to x = 2π of exp(cos mx + cos nx)dx is solved in terms of modified bessel functions of the first kind for m, n ∈ Z, x ∈ R.