SOME IDENTITIES FOR DEGENERATE COSINE(SINE)-EULER POLYNOMIALS
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The aim of this paper is to introduce the degenerate cosine{Euler and degenerate sine-Euler polymonials which are related to the cosine-Euler and sine-Euler polynomials, respectively. We investigate some identities and properties for the polynomials. We also give the relation between the degenerate cosine(resp. sine)-Euler polynomials and the cosine(resp. sine)-Euler polynomials
Abstract
The aim of this paper is to introduce the degenerate cosine{Euler and degenerate sine-Euler polymonials which are related to the cosine-Euler and sine-Euler polynomials, respectively. We investigate some identities and properties for the polynomials. We also give the relation between the degenerate cosine(resp. sine)-Euler polynomials and the cosine(resp. sine)-Euler polynomials
참고문헌 (10)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Euler numbers", Utilitas Math, 15, pp.51~58 (1979)
- L. Comtet, "Advanced combinatories" (1974), Reidel
- NESLIHAN KILAR, "Relations on Bernoulli and Euler polynomials related to trigonometric functions", Advanced Studies in Contemporary Mathematics, 29(2), pp.191~198 (2019), 장전수학회
- D. S. Kim, "A note on degenerate Euler and Bernoulli polynomials of complex variable", Symmetru, 11(9), pp.1168~ (2019)[DOI]
- 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
- T. Kim, "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys., 24(2), pp.241~248 (2017)
- T. Kim, "Some identities for Euler and Bernoulli polynomials and their zeros", Axioms, 7(3), pp.1~19 (2018)
- S. Roman, "The umbral calculus" (2005), Dover Publ. Inc.
- R. U. Verma, "Application of gamma functions in solving certain integral equations", Acta Mex-icana Ci. Tecn., 8(1-3), pp.56~60 (1974)
- D. G. Zill, "Advanced Engineering Mathematics" (2006), Jones and Bartlett Publishers