SOME REMARKS ON A q-ANALOGUE OF BERNOULLI NUMBERS

Min-Soo Kim, Jin-Woo Son
2002 Journal of the Korean Mathematical Society  
Using the p-adic q-integral due to T. Kim [4], we define a number B * n (q) and a polynomial B * n (x; 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 p (u, s, χ) [14] using the p-adic q-integral in [4] .
doi:10.4134/jkms.2002.39.2.221 fatcat:6yudbmhdjfa3fnlclco33h4wwe