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SOME REMARKS ON A q-ANALOGUE OF BERNOULLI NUMBERS
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 Title & Authors
SOME REMARKS ON A q-ANALOGUE OF BERNOULLI NUMBERS
Kim, Min-Soo; Son, Jin-Woo;
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 Abstract
Using the p-adic q-integral due to T. Kim[4], we define a number B*(q) and a polynomial B*(q) which are p-adic q-analogue of the ordinary Bernoulli number and Bernoulli polynomial, respectively. We investigate some properties of these. Also, we give slightly different construction of Tsumura's p-adic function (u, s, ) [14] using the p-adic q-integral in [4].n [4].
 Keywords
q-analogue;Bernoulli numbers. p-adic q-integral;
 Language
English
 Cited by
1.
ON TWISTED GENERALIZED EULER NUMBERS,;

대한수학회보, 2004. vol.41. 2, pp.299-306 crossref(new window)
2.
ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS,;;

대한수학회보, 2007. vol.44. 1, pp.1-12 crossref(new window)
1.
q-Analogue of twisted l-series and q-twisted Euler numbers, Journal of Number Theory, 2005, 110, 2, 267  crossref(new windwow)
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