논문KCI 등재
Some properties concerning q-derivatives and q-Hermite polynomial
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In this paper, the successive action of x times q-derivative is discussed and the q-chain rule for the q-derivative is investigated. The q-Hermite polynomial is also constructed through the q-chain rule.
Abstract
In this paper, the successive action of x times q-derivative is discussed and the q-chain rule for the q-derivative is investigated. The q-Hermite polynomial is also constructed through the q-chain rule.
참고문헌 (3)
- L.Carlitz, "q-Bernouli and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~ (1954)
- L.Carlitz, "A combinatorial property of q-Eulerian numbers", Amer. Math. Monthly, 82, pp.51~ (1975)
- J.Zeng, "A q-analogue of Newton series, Stirling functions and Eulerian functions", Results in Math, 25, pp.370~375 (1994)
관련 논문AI추천
A note on q-Bernstein and q-Laguerre polynomialsB. Lee, C. S. Ryoo, D. V. Dolgy, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제3호On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative OperatorSunil Dutt Purohit경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제4호On the k-dimensional generalization of q-Bernstein polynomials김영희, 김태균, 최종성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호SOME APPLICATIONS OF q-DIFFERENTIAL OPERATORJian-Ping Fang대한수학회 · 대한수학회지2010 · 제47권 제2호On q-Bernstein and q-Hermite polynomials김영희, 최종성, C. S. Ryoo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호A NOTE ON L-CLASSICAL ORTHOGONAL POLYNOMIALSJ. O. Baek장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호
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