IJPAM: Volume 80, No. 2 (2012)
AN IDENTITY OF THE TWISTED
-EULER
POLYNOMIALS ASSOCIATED WITH THE
-ADIC
-INTEGRALS ON

POLYNOMIALS ASSOCIATED WITH THE



Cheon Seoung Ryoo
Department of Mathematics
Hannam University
Daejeon, 306-791, KOREA
Department of Mathematics
Hannam University
Daejeon, 306-791, KOREA
Abstract. In [6], we studied the twisted -Euler numbers and polynomials. By using these numbers and polynomials, we investigate the alternating sums of powers of consecutive integers. By applying the symmetry of the fermionic
-adic
-integral on
, we give recurrence identities the twisted
-Euler polynomials.
Received: June 18, 2012
AMS Subject Classification: 11B68, 11S40, 11S80
Key Words and Phrases: Euler numbers and polynomials, -Euler numbers and polynomials,
-Euler numbers and polynomials, alternating sums, the twisted
-Euler polynomials
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 2