TY - JOUR
T1 - On (h, q)-Daehee numbers and polynomials
AU - Do, Younghae
AU - Lim, Dongkyu
N1 - Publisher Copyright:
© 2015, Do and Lim; licensee Springer.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - The p-adic q-integral (sometimes called q-Volkenborn integration) was defined by Kim. From p-adic q-integral equations, we can derive various q-extensions of Bernoulli polynomials and numbers. DS Kim and T Kim studied Daehee polynomials and numbers and their applications. Kim et al. introduced the q-analogue of Daehee numbers and polynomials which are called q-Daehee numbers and polynomials. Lim considered the modified q-Daehee numbers and polynomials which are different from the q-Daehee numbers and polynomials of Kim et al. In this paper, we consider (h,q)-Daehee numbers and polynomials and give some interesting identities. In case h = 0, we cover the q-analogue of Daehee numbers and polynomials of Kim et al. In case h = 1, we modify q-Daehee numbers and polynomials. We can find out various (h,q)-related numbers and polynomials which are studied by many authors.
AB - The p-adic q-integral (sometimes called q-Volkenborn integration) was defined by Kim. From p-adic q-integral equations, we can derive various q-extensions of Bernoulli polynomials and numbers. DS Kim and T Kim studied Daehee polynomials and numbers and their applications. Kim et al. introduced the q-analogue of Daehee numbers and polynomials which are called q-Daehee numbers and polynomials. Lim considered the modified q-Daehee numbers and polynomials which are different from the q-Daehee numbers and polynomials of Kim et al. In this paper, we consider (h,q)-Daehee numbers and polynomials and give some interesting identities. In case h = 0, we cover the q-analogue of Daehee numbers and polynomials of Kim et al. In case h = 1, we modify q-Daehee numbers and polynomials. We can find out various (h,q)-related numbers and polynomials which are studied by many authors.
KW - (h, q)-Bernoulli polynomials
KW - (h, q)-Daehee numbers
KW - (h, q)-Daehee polynomials
KW - p-adic q-integral
UR - http://www.scopus.com/inward/record.url?scp=84926348163&partnerID=8YFLogxK
U2 - 10.1186/s13662-015-0445-3
DO - 10.1186/s13662-015-0445-3
M3 - Article
AN - SCOPUS:84926348163
SN - 1687-1839
VL - 2015
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
ER -