We establish some results on the parity analogues of Yang’s Conjecture and its variants. For instance, by defining a function class \(\Upsilon ^{q}_{k}\) which satisfies certain constraints on characteristic functions, the relation of parity between f(z) and \(f(z)^{n}f^{(k)}(qz)\) can be completely described. The parity of transcendental meromorphic functions f(z) and g(z) is also considered whenever a pair of complex q-difference differential polynomials \(f(z)^{n}g^{(k)}(qz)\) and \(g(z)^{n}f^{(k)}(qz)\) has certain parity, where k is a non-negative integer and q is a non-zero constant. Additionally, the parity related to Jackson difference operator and the derivative of polynomials or rational functions of f(z) is also considered.
