Yayınlanmış 1 Ocak 2018 | Sürüm v1
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On (rho, q)-Euler numbers and polynomials associated with (rho, q)-Volkenborn integrals

  • 1. Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey

Açıklama

Recently, Araci et al. introduced (rho, q)-analogue of the Haar distribution and by means of the distribution, they constructed (rho, q)-Volkenborn integral yielding to Carlitz-type (rho, q)-Bernoulli numbers and polynomials. The aim of the present paper is to introduce a generalization of the fermionic p-adic measure based on (rho, q)-integers and set the corresponding integral to this measure. Consequently, Carlitz-type (rho, 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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