Incomplete q-Chebyshev polynomials
In this paper, we get the generating functions of the q-Chebyshev polynomials using ?z operator, which is ?z (f(z))= f(qz) for any given function f (z). Also considering explicit formulas of the q-Chebyshev polynomials, we give new generalizations of the q-Chebyshev polynomials called the incomplete q-Chebyshev polynomials of the first and second kind. We obtain recurrence relations and several properties of these polynomials. We show that there are connections between the incomplete q-Chebyshev polynomials and the some well-known polynomials.
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2021 ◽
Vol 14
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pp. 65-81
2018 ◽
Vol 12
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pp. 178-191
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1997 ◽
Vol 20
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