Browse > Article
http://dx.doi.org/10.14317/jami.2016.487

DIFFERENTIAL EQUATIONS ASSOCIATED WITH TANGENT NUMBERS  

RYOO, C.S. (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.34, no.5_6, 2016 , pp. 487-494 More about this Journal
Abstract
In this paper, we study differential equations arising from the generating functions of tangent numbers. We give explicit identities for the tangent numbers.
Keywords
Tangent numbers and polynomials; higher-order tangent numbers; differential equations;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 A. Bayad, T. Kim, Higher recurrences for Apostal-Bernoulli-Euler numbers, Russ. J. Math. Phys. 19 (2012), 1-10.   DOI
2 A. Erdelyi, W. Magnus, F. Oberhettinger, F.G. Tricomi, Higher Transcendental Functions, Vol 3. New York: Krieger, 1981.
3 D.S. Kim, T. Kim, Some identities of Bell polynomials, Sci. China Math. 58 (2015), 2095-2104.   DOI
4 T. Kim, D.S. Kim, Identities involving degenerate Euler numbers and polynomials arising from non-linear differential equations, J. Nonlinear Sci. Appl. 9 (2016), 2086-2098.   DOI
5 C.S. Ryoo, A note on the tangent numbers and polynomials, Adv. Studies Theor. Phys. 7 (2013), 447 - 454.   DOI
6 C.S. Ryoo, Multiple tangent zeta function and tangent polynomials of higher order, Adv. Studies Theor. Phys. 8 (2014), 457 - 462.   DOI
7 C.S. Ryoo, A numerical investigation on the zeros of the tangent polynomials, J. App. Math. & Informatics 32(2014), 315-322.   DOI
8 S. Roman, The umbral calculus, Pure and Applied Mathematics, 111, Academic Press, Inc. [Harcourt Brace Jovanovich Publishes]. New York, 1984.