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A note on degenerate Apostol-Bernoulli numbers and polynomials
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In this paper, we consider the degenerate Apostol-Bernoulli numbers and polynomials due to L. Carlitz. and we investigate some properties for these numbers and polynomials
Abstract
In this paper, we consider the degenerate Apostol-Bernoulli numbers and polynomials due to L. Carlitz. and we investigate some properties for these numbers and polynomials
참고문헌 (11)
- A. Bayad, "Apostol–Euler polynomials and asymptotics for negative binomial reciprocals", Advanced Studies in Contemporary Mathematics, 24(1), pp.33~37 (2014), 장전수학회
- A. Bayad, "Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator", Russ. J. Math. Phys, 23(2), pp.164~171 (2016)
- A. Bayad, "Higher recurrences for Apostol-Bernoulli-Euler numbers", Russ. J. Math. Phys, 19(1), pp.1~10 (2012)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
- Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
- Y. He, "General convolution identities for Apostol-Bernoulli Euler and Genocchi polynomials", J. Nonlinear Sci. Appl, 9(6), pp.4780~4797 (2016)
- K.-W. Hwang, "Interpolation functions of q-extensions of Apostol's type Euler polynomials", J. Inequal. Appl, pp.12~ (2009)
- T. Kim, "Apostol-Euler polynomials arising from umbral calculus", Adv. Difference Equ, 301, pp.7~ (2013)
- Qiu-Ming Luo, "q-analogues of some results for the Apostol-Euler polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.103~113 (2010), 장전수학회
- S. Roman, "The Umbral Calculus, Pure and Applied Mathematics, 111", pp.193~ (1984), Academic Press. Inc
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