On the Appell type \(\lambda\)-Changhee polynomials

Volume 9, Issue 4, pp 1872--1876 http://dx.doi.org/10.22436/jnsa.009.04.40

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Authors

Dongkyu Lim - School of Mathematical Sciences, Nankai University, Tianjin Ciy, 300071, China. Feng Qi - Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, 300160, China. - Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, China.

Abstract

In the paper, by virtue of the p-adic fermionic integral on \(\mathbb{Z}_p\), the authors consider a \(\lambda\)-analogue of the Changhee polynomials and present some properties and identities of these polynomials.

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Keywords

• Identity
• property
• Appell type \(\lambda\)-Changhee polynomial
• Changhee polynomial
• degenerate Changhee polynomial.

MSC

•  05A30
•  05A40
•  11B68
•  11S80

References

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• [2] D. V. Dolgy, T. Kim, S.-H. Rim, J.-J. Seo, A note on Changhee polynomials and numbers with q-parameter, Int. J. Math. Anal., 8 (2014), 1255-1264.


• [3] T. Kim, A note on p-adic q-integral on \(\mathbb{Z}_p\) associated with q-Euler numbers, Adv. Stud. Contemp. Math. (Kyung- shang), 15 (2007), 133-138.


• [4] D. S. Kim, T. Kim, J.-J. Seo, A note on Changhee numbers and polynomials, Adv. Stud. Theor. Phys., 7 (2013), 993-1003.


• [5] D. S. Kim, T. Kim, J.-J. Seo, S.-H. Lee, Higher order Changhee numbers and polynomials, Adv. Stud. Theor. Phys., 8 (2014), 365-373.


• [6] H. I. Kwon, T. Kim, J.-J. Seo, A note on degenerate Changhee numbers and polynomials, Proc. Jangjeon Math. Soc., 18 (2015), 295-305.


• [7] D. Lim, F. Qi , On the Appell type \(\lambda\)-Changhee polynomials, ResearchGate Technical Report, 2015 (2015), 5 pages.


• [8] H. Ozden, I. N. Cangul, Y. Simsek, Multivariate interpolation Functions of higher-order q-Euler numbers and their applications , Abstr. Appl. Anal., 2008 (2008), 16 pages.