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arXiv · 1603.07884

Incomplete q-Chebyshev Polynomials

Elif Ercan·Mirac Cetin Firengiz·Naim Tuglu
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Abstract

In this paper, we get the generating functions of q-Chebyshev polynomials using operator. Also considering explicit formulas of q-Chebyshev polynomials, we give new generalizations of q-Chebyshev polynomials called 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 incomplete q-Chebyshev polynomials and the some well-known polynomials. Keywords: q-Chebyshev polynomials, q-Fibonacci polynomials, Incomplete polynomials, Fibonacci number

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Elif Ercan, Mirac Cetin Firengiz, Naim Tuglu. 2016-03-25. Incomplete q-Chebyshev Polynomials. https://arxiv.org/abs/1603.07884

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