Defining relations of quantum symmetric pair coideal subalgebras

We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras quantized enveloping algebras Kac-Moody type. Our methods are based on star products noncommutative $\mathbb{N}$-graded algebras. The resulting expressed in terms continuous q-Hermite polynomials and a new family deformed Chebyshev polynomials.