A new approach to q-zeta function

Journal of Computational Analysis and Applications

Volumn 9, Issue 4, 2007, Pages 395-400

  Kim, Taekyun ^a  

^a Jangjeon Research Institute for Mathematical Science and Physics   (South Korea)

Author keywords

11B68; 11M99; 2000 mathematics subject classification: 11S80; Bernoulli numbers and polynomials; p adic q integrals; Zeta function

Indexed keywords

EID: 34147167875     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. T. Kim, Analytic continuation of multiple q-zeta functions and their values at negative integers, Russian J. Math. Phys. 11 (2004), 71-76.
2. T. Kim, On Euler-Barnes multiple zeta functions, Russian J. Math. Phys. 10 (2003), 261-267.
3. T. Kim, A note on q-zeta functions, Proceedings of the 15th international conference of the Jangjeon Mathematical Society (Hapcheon, South Korea, August 5-7, 2004) (2004), 110-114.
4. T. Kim, On a q-analogue of the p-adic log gamma functions and related integrals, J. Number Theory 76 (1999), 320-329.
5. T. Kim, q-Volkenbom Integration, Russian J. Math. Phys. 9 (2002), 288-299.
6. T.Kim, Sums powers of consecutive q-integers, Advan. Stud. Contemp. Math. 9 (2004), 15-18.
7. T. Kim, p-adic q-integrals associated with the Changhee-Barnes' q-Bernoulli polynomials, Integral Transforms and Special Functions 15 (2004), 415-420.
8. T. Kim, An invariant p-adic integral associated with Daehee numbers, Integral Trans. Special Funct. 13 (2002), 65-69.
9. T. Kim et al, Introduction to Non-Archimedean Analysis(Korean: http://www.kyowoo.co.hr), Kyo Woo Sa (2004).
10. Y. Simsek, Theorems on twistedL-function and twisted Bernoulli numbers, Advanced Stud. Contemp. Math. 11 (2005), 205-218.