Note on Carlitz's type g-Euler numbers and polynomials

Proceedings of the Jangjeon Mathematical Society

Volumn 13, Issue 2, 2010, Pages 149-155

  Kim, Taekyun ^a   Kim, Young Hee ^a   Lee, Byungje ^a  

^a Kwangwoon University   (South Korea)

Author keywords

Cauehy residue theorem; Laurent series; q Euler numbers and polynomials; Zeta function

Indexed keywords

EID: 77955535847     PISSN: 15987264     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. L.Carlitz, q-Bernoulli numbers and polynomials, Duke Mathematical Journal 15 (1948), 987-1000.
2. L. Carlitz, q-Bernoulli Eulerian numbers, Transactions of the American Mathematical Society 76 (1954), 332-350.
3. M. Cenkci, M. Can, Some results on q-analogue of the Lerch Zeta function, Advanced Studies in Contemporary Mathematics 12 (2006). 213-223.
4. T. Kim, On a q-analogue of the p-adic log gamma functions and related integrals, Journal of Number Theory 76 (1909), 320-329.
5. T. Kim, q-generalized Euler numbers and polynomials, Russian Journal of Mathematical Physics 13 (2006), 293-298.
6. T. Kirn. q-Euler numbers and polynomials associated with p-adic q-integrals, Journal of Nonlinear Mathematical Physics 14 (2007), 15-27.
7. T. Kim, On the q-extension of Euler and Genocchi numbers, Journal of Mathematical Analysis and Applications 326 (2007), 145S-14G5.
8. T. Kim, The modified q-Euler numbers and polynomials, Advanced Studies in Contemporary Mathematics 16 (2008), 161-170.
9. T. Kim, Note on the Euler q-zeta functions, Journal of Number Theory 129 (2009), 1798-1804.
10. T. Kim, Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on Zp, Russian Journal of Mathematical Physics 16 (2009), 484-491.
11. T. Kim, L.-C. Jang, Y.-H. Kim, S.-H. Rim, New approach to q-Euler numbers and polynomials, Advances in Difference Equations 2010 (2010), Article ID 431436, 9
12. Y.-H. Kim, K.-W. Hwang, Symmetry of power sum and twisted Bernoulli polynomials, Advanced Studies in Contemporary Mathematics 18 (2009), 127-133.
13. Y.-H. Kim, W. Kim, L.-C. Jang, On the q-extension of Apostol-Euler numbers and polynomials, Abstract and Applied Analysis 2008 (2008), Article ID 296159, l0 pages.
14. Y.-H. Kim, W. Kim, C. S. Ryoo, On the twisted q-Eulcr zcta function associated with twisted q-Euler numbers, Proceedings of the Jangjeon Mathematical Society 12 (2009), 93-100.
15. H. Ozden, I. N. Cangul, Y. Simsek, Remarks on q-Bemoulli numbers associated with Daehee numbers, Advanced Studies in Contemporary Mathematics 18 (2009), 41-48.
16. H. Ozden and Y. Simsek, A new extension of q-Euler numbers and polynomials related to their interpolation functions, Applied Mathematics Letters 21 (2008), 934-939.
17. H. Ozden, Y. Simsek, S.-H. Rim, I.N. Cangul, A note on p-adic q-Euler measure, Advanced Studies in Contemporary Mathematics. 14 (2007), 233-239.