On modified degenerate Carlitz q-Bernoulli numbers and polynomials

被引:0
作者
Jeong Gon Lee
Lee-Chae Jang
机构
[1] Wonkwang University,Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute
[2] Konkuk University,Graduate School of Education
来源
Advances in Difference Equations | / 2017卷
关键词
05A10; 11B68; 11S80; 05A19;
D O I
暂无
中图分类号
学科分类号
摘要
In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, 2016) an attempt was made to examine some of the identities and properties that are related to the degenerate Carlitz q-Bernoulli numbers and polynomials. In our paper we define the modified degenerate q-Bernoulli numbers and polynomials. As part of this we investigate some of the identities and properties that are associated with these numbers and polynomials which are derived from the generating functions and p-adic integral equations.
引用
收藏
相关论文
共 34 条
  • [1] Bayad A(2012)Higher recurrences for Apostol-Bernoulli-Euler numbers Russ. J. Math. Phys. 19 1-10
  • [2] Kim T(1948)-Bernoulli numbers and polynomials Duke Math. J. 15 987-1000
  • [3] Carlitz L(1956)A degenerate Staudt-Clausen theorem Arch. Math. (Basel) 7 28-33
  • [4] Carlitz L(1979)Degenerate Stirling, Bernoulli and Eulerian numbers Util. Math. 15 51-88
  • [5] Carlitz L(2016)Generalized Boole numbers and polynomials Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 110 823-839
  • [6] Kim DS(2016)Some identities of symmetry for Ars Comb. 126 435-441
  • [7] Kim T(2016)-Bernoulli polynomials under symmetric group of degree J. Nonlinear Convex Anal. 16 1869-1880
  • [8] Kim DS(2016)Some identities of symmetry for Filomat 30 905-912
  • [9] Kim T(2016)-Bernoulli polynomials under symmetric group of Bull. Korean Math. Soc. 53 1149-1156
  • [10] Kim T(2002)Some identities relating to degenerate Bernoulli polynomials Russ. J. Math. Phys. 9 288-299