In the paper, with the aid of the Fa? di Bruno formula, in terms of the
central factorial numbers and the Stirling numbers of the second kinds, the
authors derive several series expansions for any positive integer powers of
the sinc and sinhc functions, discover several closed-form expressions for
partial Bell polynomials of all derivatives of the sinc function, establish
several series expansions for any real powers of the sinc and sinhc
functions, and present several identities for central factorial numbers of
the second kind and for the Stirling numbers of the second kind.