Remarks on q-Bernoulli numbers associated with Daehee numbers

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참고문헌 (33)

1. I. N. Cangul, "Generating functions of the (h, q)-extension of Euler polynomials and numbers", Acta Math. Hungar., 120(3), pp.281~299 (2008)
2. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
3. M. Cenkci, "On (i, q) Bernoulli and Euler numbers", Appl. Math. Lett., 21, pp.706~711 (2008)
4. L-C. Jang, "A note on Euler number and polynomials, J. Inequal. Appl. 2006(Art. ID 34602)", 1~5 (2006)
5. T. Kim, "On explicit formulas of p-adic q-L-functions", Kyushu J. Math., 48(1), pp.73~86 (1994)
6. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
7. T. Kim, "On uniform differentiability and q-Mahler expansions", Adv. Stud. Contemp. Math., 4(1), pp.35~41 (2001)
8. T. Kim, "q-Volkenborn integation", Russian J. Math. Phys., 9, pp.288~299 (2002)
9. T. Kim, "An invariant p-adic integral associated with Daehee numbers", Integral Transforms Spec. Funct., 13, pp.65~69 (2002)
10. T. Kim, "On the twisted q-zeta functions and q-Bernoulli polynomials", Far East J. Appl. Math., 13, pp.13~21 (2003)
11. T. Kim, "p-adic q-integrals associated with the Changhee-Barnes' q-Bernoulli polynomials", IntegralTransforms Spec. Funct., 15(5), pp.415~420 (2004)
12. T. Kim, "On Changhee-Barnes' q-Euler numbers and polynomials", Adv. Stud. Contemp. Math., 9(2), pp.81~86 (2004)
13. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14(1), pp.15~27 (2007)
14. T. Kim, "Analytic continuation of the multiple Daehee q-l-functions associated with Daehee numbers", Russian J. Math. Phys., 15(1), pp.444~450 (2008)
15. N. Koblitz, "On Carlitz's q-Bernoulli numbers", J. Number Theory, 14, pp.332~339 (1982)
16. N.E. Norlund, "Vorlesungen Äuber di®erentzenrechnung" (1954), Springer-Verlag
17. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
18. H. Ozden, "A new extension of q-Euler numbers and polynomials related to their interpolation functions", Appl. Math. Lett., 21, pp.934~939 (2008)
19. H. Ozden, "Interpolation function of the (h, q)-extension of twisted Euler numbers", Comput. Math. Appl., 56, pp.898~908 (2008)
20. H. Ozden, "Multivariate Interpolation functions of higher-order q-Euler numbers and their applications, Abstr. Appl. Anal. 2008, Art. ID 390857, 16 pp", ~ (2008)
21. H. Ozden, "Remarks on sum of products of (h; q)-twisted Euler polynomials and numbers, J. Inequal. Appl. 2008, Art. ID 816129, 8 pp", ~ (2008)
22. H. Ozden, "Euler polynomials associated with p-adic q-Euler measure", Gen. Math., 15(2), pp.24~37 (2007)
23. A. M. Robert, "A course in p-adic analysis" (2000), Springer
24. K, Shiratani, "On Euler numbers", Mem. Fac. Sci. Kyushu Univ. Ser. A, 27, pp.1~5 (1973)
25. K. Shiratani, Katsumi, "On a p-adic interpolation function for the Euler numbers and its derivatives", Mem. Fac. Sci. Kyushu Univ. Ser. A, 39(1), pp.113~125 (1985)
26. Y. Simsek, "q-analogue of twisted l-series and q-twisted Euler numbers", J. Number Theory, 110(2), pp.267~278 (2005)
27. Y. Simsek, "Theorems on twisted L-function and twisted Bernoulli numbers", Adv. Stud. Contemp. Math., 11(2), pp.205~218 (2005)
28. Y. Simsek, "Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L- function", J. Math. Anal. Appl., 324, pp.790~804 (2006)
29. Y. Simsek, "On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers", Russian J. Math. Phys., 13(3), pp.340~348 (2006)
30. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회
31. Y. Simsek, "On interpolation functions of the twisted generalized Frobenius-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.187~194 (2007), 장전수학회
33. H. M. Srivastava, "q-Bernoulli numbers and polynomials associated with multiple q-zeta functions and basic L-series", Russian J. Math Phys., 12(2), pp.241~268 (2005)

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