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

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... s 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. MSC: 11B68; 11S40