IJPAM: Volume 80, No. 2 (2012)
POLYNOMIALS ASSOCIATED WITH THE -ADIC -INTEGRALS ON
Department of Mathematics
Daejeon, 306-791, KOREA
Abstract. In , 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