A note on q-Bernoulli numbers and polynomials

Applied Mathematics Letters

Volumn 20, Issue 5, 2007, Pages 524-531

  Ryoo, Cheon Seoung ^a  

^a Hannam University   (South Korea)

Author keywords

Bernoulli numbers; Bernoulli polynomials; q Bernoulli numbers; q Bernoulli polynomials; q Zeta function; Zeta function

Indexed keywords

FUNCTIONS; INTERPOLATION; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING;

BERNOULLI NUMBERS; BERNOULLI POLYNOMIALS; Q BERNOULLI NUMBERS; Q BERNOULLI POLYNOMIALS; Q ZETA FUNCTIONS; ZETA FUNCTIONS;

NUMBER THEORY;

EID: 33845362529     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.05.021     Document Type: Article

References (11)

1. Ryoo C.S., Kim T., and Agarwal R.P. A numerical investigation of the roots of q-polynomials. Int. J. Comput. Math. 83 2 (2006) 223-234
2. S.C. Woon, Analytic Continuation of Bernoulli Numbers, a New Formula for the Riemann Zeta Function, and the Phenomenon of Scattering of Zeros, (1997), DAMTP-R-97/19
3. A.P. Veselov, J.P. Ward, On the real zeroes of the Hurwitz zeta-function and Bernoulli polynomials, (2002), math.GM/0205183
4. Carlitz L. q-Bernoulli numbers and polynomials. Duke Math. J. 15 (1948) 987-1000
5. Erdelyi A. Higher Transcendental Functions vol. 1-3 (1953), McGraw-Hill
6. Kim T. On p-adic q-L-function and sums of powers. Discrete Math. 252 (2002) 179-187
7. Kim T. Analytic continuation of multiple q-zeta functions and their values at negative integers. Russ. J. Math. Phys. 11 (2004) 71-76
8. Koblitz N. A new proof of certain formulas for p-adic L-functions. Duke Math. J. 46 (1979) 455-468
9. Koblitz N. On Carlitz's q-Bernoulli numbers. J. Number Theory 14 (1982) 332-339
10. Todorov P.G. On the theory of the Bernoulli polynomials and numbers. J. Math. Anal. Appl. 104 (1984) 175-180
11. Whittaker E.T., and Waston G.N. A Course of Morden Analysis (1963), Cambridge Univ. Press