A note on nonlinear Changhee differential equations

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• 作者：T. Kim ; D. S. Kim
• 刊名：Russian Journal of Mathematical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：23
• 期：1
• 页码：88-92
• 全文大小：419 KB
• 参考文献：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).MathSciNet CrossRef MATH
  2.L. Carlitz, “Degenerate Stirling, Bernoulli, and Eulerian Numbers,” Util. Math. 15, 51–88 (1979).MathSciNet MATH
  3.L. Comtet, Advanced Combinatorics. The Art of Finite and Infinite Expansions, Revised and enlarged ed. (D. Reidel Publishing Co., Dordrecht, 1974).MATH
  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).MathSciNet MATH
  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).MathSciNet CrossRef MATH
  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).MathSciNet MATH
  8.T. Kim, “Identities Involving Frobenius-Euler Polynomials Arising from Non-Linear Differential Equations,” J. Number Theory 132 (12), 2854–2865 (2012).MathSciNet CrossRef MATH
  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).MathSciNet MATH
  
• 作者单位：T. Kim (1)
  D. S. Kim (2)
  
  1. Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea
  2. Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1555-6638

文摘

In this paper, we study nonlinear Changhee differential equations and derive some new and explicit identities of Changhee and Euler numbers from those nonlinear differential equations.