On fractional q-extensions of some q-orthogonal polynomials
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fractionalsomeextensionsintroducedorthogonalpolynomialsclassicaldefined
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Fractional $q$-extensions of some classical $q$-orthogonal polynomials are introduced and some of the main properties of the new defined functions are given. Next, a fractional $q$-difference equation of Gauss type is introduced and solved by means of power series method.
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