  We prove a new determinantal formula for the characters of irreducible
representations of orthosymplectic Lie superalgebras analogous to the formula
developed by Moens and Jeugt (J. Algebraic Combin., 2003) for general linear
Lie superalgebras. Our proof uses the Jacobi--Trudi type formulas for
orthosymplectic characters. As a consequence, we show that the odd symplectic
characters introduced by Proctor (Invent. Math., 1988) are the same as the
orthosymplectic characters with some specialized indeterminates. We also give a
generalization of an odd symplectic character identity due to Brent,
Krattenthaler and Warnaar (J. Combin. Theory Ser. A, 2016).
