q-DEDEKIND-TYPE DAEHEE-CHANGHEE SUMS WITH WEIGHT α ASSOCIATED WITH MODIFIED q-EULER POLYNOMIALS WITH WEIGHT α

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Published: Feb 15, 2014
DOI: https://doi.org/10.14403/jcms.2014.27.1.1
Keywords:
Dedekind Sums, q-Dedekind-type Sums, p-adic q-integral, q-Euler numbers and polynomials, modified q-Euler numbers and polynomials
Mathematics Subject Classification (2020):
Primary 11B68, 11S80, Secondary 11M06

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Jong Jin Seo
Department of Applied Mathematics, Pukyong National University
Serkan Araci
Atat¨urk Street, TR-31290 Hatay, TURKEY
Mehmet Acikgoz
Department of Mathematics, University of Gaziantep

Abstract





Recently, q-Dedekind-type sums related to q-Euler polynomials was studied by Kim in [T. Kim, Note on q-Dedekind-type sums related to q-Euler polynomials, Glasgow Math. J. 54 (2012), 121-125]. It is aim of this paper to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Dedekind-type sums with weight related to modified q-Euler polynomials with weight by using Kim's p-adic q-integral.





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Article Details

Issue
Vol. 27 No. 1 (2014)
Section
Articles