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http://dx.doi.org/10.4134/JKMS.2006.43.1.183

q-EXTENSIONS OF GENOCCHI NUMBERS  

CENKCI MEHMET (Akdeniz University Department of Mathematics)
CAN MUMUN (Akdeniz University Department of Mathematics)
KURT VELI (Akdeniz University Department of Mathematics)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 183-198 More about this Journal
Abstract
In this paper q-extensions of Genocchi numbers are defined and several properties of these numbers are presented. Properties of q-Genocchi numbers and polynomials are used to construct q-extensions of p-adic measures which yield to obtain p-adic interpolation functions for q-Genocchi numbers. As an application, general systems of congruences, including Kummer-type congruences for q-Genocchi numbers are proved.
Keywords
q-Genocchi numbers; p-adic measures; p-adic integral; Kummer congruences;
Citations & Related Records

Times Cited By Web Of Science : 12  (Related Records In Web of Science)
Times Cited By SCOPUS : 15
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