An invariant p-adic q-integral on Zp

Applied Mathematics Letters

Volumn 21, Issue 2, 2008, Pages 105-108

  Kim, Taekyun ^a  

^a Kyungpook National University   (South Korea)

Author keywords

p adic invariant integral; q Volkenborn integral

Indexed keywords

MATHEMATICAL MODELS; NUMBER THEORY;

EULER NUMBERS; P-ADIC INVARIANT INTEGRAL; Q-VOLKENBORN INTEGRAL; WITT'S FORMULAE;

INTEGRAL EQUATIONS;

EID: 36549067217     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.11.011     Document Type: Article

References (9)

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2. Kim T. On a q-analogue of the p-adic log gamma functions and related integrals. J. Number Theory 76 (1999) 320-329
3. Kim T. A new approach to p-adic q-L-functions. Adv. Stud. Contemp. Math. 12 (2006) 61-72
4. Kim T. An analogue of Bernoulli numbers and their congruences. Rep. Fac. Sci. Engrg. Saga Univ. Math. 22 (1994) 21-26
5. Kim T. On Euler-Barnes multiple zeta function. Russ. J. Math. Phys. 10 (2003) 261-267
6. Kim T. A note on p-adic invariant integral in the rings of p-adic integers. Adv. Stud. Contemp. Math. 13 (2006) 95-99
7. Kim T. A note on q-Bernoulli numbers and polynomials. J. Nonlinear Math. Phys. 13 3 (2006) 315-322
8. Kim T. On the q-extension of Euler and Genocchi numbers. J. Math. Anal. Appl. 326 (2007) 1458-1465
9. Kim T. A note on some formulas for the q-Euler numbers and polynomials. Proc. Jangjeon Math. Soc. 9 (2006) 227-232