Differential equations for Changhee polynomials and their applications

Volume 9, Issue 5, pp 2857--2864 http://dx.doi.org/10.22436/jnsa.009.05.80

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Authors

Taekyun Kim - Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea. Dmitry V. Dolgy - Institute of Mathematics and Computer Science, Far Eastern Federal University, 690950 Vladivostok, Russia. Dae San Kim - Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea. Jong Jin Seo - Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea.

Abstract

Recently, the non-linear Changhee differential equations were introduced by Kim and Kim [T. Kim, D. S. Kim, Russ. J. Math. Phys., 23 (2016), 1-5] and these differential equations turned out to be very useful for studying special polynomials and mathematical physics. Some interesting identities and properties of Changhee polynomials can also be derived from umbral calculus (see [D. S. Kim, T. Kim, J. J. Seo, Adv. Studies Theor. Phys., 7 (2013), 993-1003]). In this paper, we consider differential equations arising from Changhee polynomials and derive some new and explicit formulae and identities from our differential equations.

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Keywords

• Changhee polynomials
• differential equations.

MSC

•  05A19
•  11B83
•  34A30

References

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