Q-Biorthogonal Polynomials

Q-Biorthogonal Polynomials

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This work consists of definitions and basic properties of q-biorthogonal polynomials and some examples of q-biorthogonal families. q-biorthogonal polynomials are the generalization of biorthogonal polynomials. For specific values of some constants which are used in definitions of biorthogonal polynomials, they give the classical orthogonal polynomials. These q-biorthogonal polynomials can turn to q-orthogonal polynomials. Some q-biorthogonal families are defined and some properties of them are obtained.