Kim, T.; Kim, D. S. A note on nonlinear Changhee differential equations. (English) Zbl 1344.34027 Russ. J. Math. Phys. 23, No. 1, 88-92 (2016). Summary: We study nonlinear Changhee differential equations and derive some new and explicit identities of Changhee and Euler numbers from those nonlinear differential equations. Cited in 28 Documents MSC: 34A34 Nonlinear ordinary differential equations and systems Keywords:Changhee and Euler numbers × Cite Format Result Cite Review PDF Full Text: DOI References: [1] A. Bayad and T. Kim, “Identities Involving Values of Bernstein, q-Bernoulli, and q-Euler Polynomials,” Russ. J. Math. Phys. 18 (2), 133-143 (2011). · Zbl 1256.11013 · doi:10.1134/S1061920811020014 [2] L. Carlitz, “Degenerate Stirling, Bernoulli, and Eulerian Numbers,” Util. Math. 15, 51-88 (1979). · Zbl 0404.05004 [3] L. Comtet, Advanced Combinatorics. The Art of Finite and Infinite Expansions, Revised and enlarged ed. (D. Reidel Publishing Co., Dordrecht, 1974). · Zbl 0283.05001 [4] S. Gaboury, R. Tremblay, and B.-J. Fugère, “Some Explicit Formulas for Certain New Classes of Bernoulli, Euler, and Genocchi Polynomials,” Proc. Jangjeon Math. Soc. 17 (1), 115-123 (2014). · Zbl 1353.11031 [5] D. S. Kim and T. Kim, “Some Identities for Bernoulli Numbers of the Second Kind Arising from a Non-Linear Differential Equation,” Bull. Korean Math. Soc. 52, 2001-2010 (2015). · Zbl 1328.05017 · doi:10.4134/BKMS.2015.52.6.2001 [6] D. S. Kim, J. J. Seo, S.-H. Lee, and T. Kim, “Higher-Order Changhee Numbers and Polynomials,” Adv. Stud. Theor. Phys. 8, 365-373 (2014). [7] G. Kim, B. Kim, and J. Choi, “The DC Algorithm for Computing Sums of Powers of Consecutive Integers and Bernoulli Numbers,” Adv. Stud. Contemp. Math. (Kyungshang) 17 (2), 137-145 (2008). · Zbl 1172.11312 [8] T. Kim, “Identities Involving Frobenius-Euler Polynomials Arising from Non-Linear Differential Equations,” J. Number Theory 132 (12), 2854-2865 (2012). · Zbl 1262.11024 · doi:10.1016/j.jnt.2012.05.033 [9] H. I. Kwon, T. Kim, and J. J. Seo, “A Note on Degenerate Changhee Numbers and Polynomials,” Proc. Jangjeon Math. Soc. 18, 295-305 (2015). · Zbl 1342.11031 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.