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IDENTITIES INVOLVING TOUCHARD POLYNOMIALS DERIVED FROM UMBRAL CALCULUS
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In this paper, we investigate some identities for Touchard polynomials involving poly-Cauchy, Bernoulli, Bessel and Euler polynomials, derived from umbral calculus.
Abstract
In this paper, we investigate some identities for Touchard polynomials involving poly-Cauchy, Bernoulli, Bessel and Euler polynomials, derived from umbral calculus.
참고문헌 (9)
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- Kim, D. S., "Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus", Advances in Difference Equations, (15) (2013)
- Kim, D. S., "Poly-Cauchy numbers and polynomials with umbral calculus viewpoint", Int. Journal of Math. Analysis, 7(45), pp.2235~2253 (2013)
- Kim, T., "Umbral calculus and Sheffer sequences of polynomials", J. Math. Phys., 54, pp.083504~ (2013)
- Mansour, T., "The generalized Touchard polynomials revisited", Applied Mathematics and Computation, 219, pp.9978~9991 (2013)
- "On poly-Cauchy numbers and polynomials" (2012)[URL]
- Roman, S., "The umbral calculus", Advances in Mathematics, 27, pp.95~188 (1978)
- Roman, S., "Pure and Applied Mathematics" (1984), Academic Press, Inc.
관련 논문AI추천
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