Recently, Araci et al. introduced (ρ,q)-analogue of the Haar distribution and by means of the distribution, they constructed (ρ,q)-Volkenborn integral yielding to Carlitz’s-type (ρ,q)-Bernoulli numbers and polynomials. The aim of… Click to show full abstract
Recently, Araci et al. introduced (ρ,q)-analogue of the Haar distribution and by means of the distribution, they constructed (ρ,q)-Volkenborn integral yielding to Carlitz’s-type (ρ,q)-Bernoulli numbers and polynomials. The aim of the present paper is to introduce a generalization of the fermionic p-adic measure based on (ρ,q)-integers and set the corresponding integral to this measure. Consequently, Carlitz’s-type (ρ,q)-Euler polynomials and numbers are defined in terms of the above mentioned integral. Moreover, some of their identities and properties are established.
               
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