A new extension of q-Euler numbers and polynomials related to their interpolation functions

Applied Mathematics Letters

Volumn 21, Issue 9, 2008, Pages 934-939

  Ozden, Hacer ^a   Simsek, Yilmaz ^b  

^a ULUDAG UNIVERSITY   (Turkey)

^b AKDENIZ UNIVERSITY   (Turkey)

Author keywords

p adic Volkenborn integral; Twisted q Euler numbers and polynomials; Zeta and l functions

Indexed keywords

FUNCTION EVALUATION; INTERPOLATION; POLYNOMIAL APPROXIMATION;

DIRICHLET; EULER NUMBERS; GENERATING FUNCTIONS; INTERPOLATION FUNCTIONS; MELLIN TRANSFORMATION; NEGATIVE INTEGERS; NEW APPROACHES; ZETA FUNCTIONS;

POLYNOMIALS;

EID: 47049097831     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2007.10.005     Document Type: Article

References (17)

1. Cenkci M., Can M., and Kurt V. p-adic interpolation functions and Kummer-type congruences for q-twisted and q-generalized twisted Euler numbers. Adv. Stud. Contemp. Math. 9 2 (2004) 203-216
2. Jang L.C., Kim S.-D., Park D.-W., and Ro Y.S. A note on Euler number and polynomials. J. Inequal. Appl. (2006) 5 pp. Art. ID 34602
3. Kim T. q-Volkenborn integration. Russ. J. Math. Phys. 9 (2002) 288-299
4. Kim T. On Euler-Barnes multiple zeta functions. Russ. J. Math. Phys. 10 3 (2003) 261-267
5. p at q = - 1. J. Math. Anal. Appl. 331 (2007) 779-792
6. Kim T. On the q-extension of Euler and Genocchi numbers. J. Math. Anal. Appl. 326 (2007) 1458-1465
7. Kim T. A new approach to q-zeta function. J. Comput. Anal. Appl. 9 (2007) 395-400
8. Kim T. q-Euler numbers and polynomials associated with p-adic q-integrals. J. Nonlinear Math. Phys. 14 1 (2007) 15-27
9. Kim T. The modified q-Euler numbers and polynomials. arxivmath.NT/0702523
10. Kim T. A note on p-adic invariant integral in the rings of p-adic integers. Adv. Stud. Contemp. Math. 13 1 (2006) 95-99
11. p, Appl. Math. Lett., in press (doi:10.1016/j.aml.2006.11.011)
12. Ozden H., Simsek Y., Rim S.-H., and Cangul I.N. A note on p-adic q-Euler Measure. Adv. Stud. Contemp. Math. 14 2 (2007) 233-239
13. Rim S.-H., and Kim T. A note on q-Euler numbers associated with the basic q-zeta function. Appl. Math. Lett. 20 4 (2007) 366-369
14. Schork M. Ward's "calculus of sequences", q-calculus and the limit q to -1. Adv. Stud. Contemp. Math. 13 2 (2006) 131-141
15. Simsek Y. q-analogue of twisted l-series and q-twisted Euler numbers. J. Number Theory 110 2 (2005) 267-278
16. Simsek Y. Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function. J. Math. Anal. Appl. 324 (2006) 790-804
17. Srivastava H.M., Kim T., and Simsek Y. q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series. Russ. J. Math. Phys. 12 2 (2005) 241-268