On the higher derivatives of the inverse tangent function
  In this paper, we find explicit formulas for higher order derivatives of the
inverse tangent function. More precisely, we study polynomials which are
induced from the higher-order derivatives of arctan(x). Successively, we give
generating functions, recurrence relations and some particular properties for
these polynomials. Connections to Chebyshev, Fibonacci, Lucas and Matching
polynomials are established.
