IJPAM: Volume 102, No. 2 (2015)

SYMMETRIC PROPERTIES FOR THE GENERALIZED
TWISTED $(h, q)$-EULER POLYNOMIALS
ASSOCIATED WITH $p$-ADIC INVARIANT
$q$-INTEGRAL ON $\Bbb Z_p$

C.S. Ryoo
Department of Mathematics
Hannam University
Daejeon, 306-791, KOREA


Abstract. In this paper, we study the symmetry for generalized twisted $(h, q)$-Euler numbers $E_{n, \chi, q, \zeta}^{(h)}$ and polynomials $E_{n, \chi, q, \zeta}^{(h)}(x)$ . We obtain some interesting identities of the power sums and generalized twisted $(h, q)$-Euler polynomials $E_{n, \chi, q, \zeta}^{(h)}(x)$ using the symmetric properties for the $p$-adic invariant $q$-integral on $\Bbb Z_p$.

Received: March 9, 2015

AMS Subject Classification: 11B68, 11S40, 11S80

Key Words and Phrases: Euler numbers and polynomials, generalized twisted $(h, q)$-Euler numbers and polynomials, symmetric properties, power sums

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DOI: 10.12732/ijpam.v102i2.8 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 2
Pages: 265 - 272


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