Remarks on Interpolation Function of Higher Order (h,q)-Bernoulli Numbers

AIP Conference Proceedings

Volumn 1168, Issue , 2009, Pages 61-64

  Aygunes, Aykut Ahmet ^a   Simsek, Yilmaz ^a  

^a AKDENIZ UNIVERSITY   (Turkey)

Author keywords

(h,q) Bernoulli numbers and polynomials; Bernoulli polynomials; Multiple (h,q) zeta function; Volkenborn integral

Indexed keywords

EID: 70450208157     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3241539     Document Type: Conference Paper

References (13)

1. M. Can, M. Cenkci, V. Kurt and Y Simsek, Twisted Dedekind type sums associated with Barnes' type multiple Frobenius-Euler /-functions. Adv. Stud. Contep. Math. 18 (2) (2009), 135-160
2. T. Kim, A new approach to q-zeta function. Adv. Stud. Contep. Math. 11 (2) (2005) 157-162.
3. T. Kim and S.-H. Rim, Y Simsek and D. Kim, On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions, J. Korean Math. Soc. 45(2) (2008), 435-453.
4. T. Kim, L. C. Jang, S.-H. Rim and H. K. Pak, On the twisted q-zeta functions and q-Bernoulli polynomials. Far East J. Appl. Math. 13(1) (2003), 13-21.
5. M.-S. Kim, T. Kim and J.-W. Son, On multiple twisted p-adic q-Euler zeta-functions and I-functions, Abstr. Appl. Anal. 2008, Art. ID 793297, 14
6. N. Koblitz, p-adic Analysis: A short course on recent work, London Math. Soc. Lecture Note Ser. 46, 1980.
7. Q.-M. Luo, The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order. Integral Transforms Spec. Funct. 20(5) (2009), 377-391.
8. Y Simsek, Theorems on twisted L-functions and twisted Bernoulli numbers. Adv. Stud. Contep. Math. 11 (2) (2005), 205-218.
9. Y Simsek, Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zela function and L-function, J. Math. Anal. Appl. 324 (2006), 790-804.
10. Y Simsek, V. Kurt and D. Kim, New approach to the complete sum of products of the twisted (h,q)-Bernoulli numbers and polynomials, J. Nonlinear Math. Phys. 14(1) (2007), 44-56.
11. Y Simsek, Multiple interpolation functions of higher order (h,q)-Bernoulli numbers, ICNAAM 2008, 6th International Conference of Numerical Analysis and Applied Mathematics Kos-Greece, 16-20 September 2008, p. 486-489.
12. H. M. Srivastava, T. Kim and Y Simsek, q-Bernoulli numbers and polynomials associated with multiple q-zeta. functions and basic L-series, Russ. J. Math Phys. 12 (2) (2005), 241-268.
13. H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions, Kluwer Acedemic Publishers, Dordrecht, Boston and London, 2001.