  The Jacobian elliptic functions are standard forms of elliptic functions, and
they were independently introduced by C.G.J. Jacobi and N.H. Abel. In this
paper, we study the unimodality of Taylor expansion coefficients of the
Jacobian elliptic functions sn(u,k) and cn(u,k). By using the theory of
gamma-positivity, we obtain that the Taylor expansion coefficients of sn(u,k)
are symmetric and unimodal, and that of cn(u,k) are unimodal and alternatingly
increasing.
