On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals
2017 ◽
Vol 14
(01)
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pp. 241-253
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Keyword(s):
Recently, Araci et al. introduced [Formula: see text]-analogue of the Haar distribution and by means of the distribution, they constructed [Formula: see text]-Volkenborn integral yielding to Carlitz-type [Formula: see text]-Bernoulli numbers and polynomials. The aim of the present paper is to introduce a generalization of the fermionic [Formula: see text]-adic measure based on [Formula: see text]-integers and set the corresponding integral to this measure. Consequently, Carlitz-type [Formula: see text]-Euler polynomials and numbers are defined in terms of the above mentioned integral. Moreover, some of their identities and properties are established.
2020 ◽
2011 ◽
Vol 54
(1)
◽
pp. 121-125
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2020 ◽
Vol 2020
(1)
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Keyword(s):