On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals
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DOI: 10.1142/s179304211850015x
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… read more here.
Keywords: numbers polynomials; volkenborn integrals; polynomials associated; associated volkenborn ... See more keywords
The Euler numbers and recursive properties of Dirichlet L-functions
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DOI: 10.1186/s13662-018-1853-y
Abstract: The aim of this paper is using an elementary method and the properties of the Bernoulli polynomials to establish a close relationship between the Euler numbers of the second kind En∗$E_{n}^{*}$ and the Dirichlet L-function… read more here.
Keywords: numbers recursive; properties dirichlet; dirichlet functions; recursive properties ... See more keywords
LEHMER'S GENERALIZED EULER NUMBERS IN HYPERGEOMETRIC FUNCTIONS
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DOI: 10.4134/jkms.j180227
Abstract: . In 1935, D. H. Lehmer introduced and investigated generalized Euler numbers W n , defined by where ω is a complex root of x 2 + x +1 = 0. In 1875, Glaisher gave… read more here.
Keywords: numbers hypergeometric; euler numbers; bernoulli euler; generalized euler ... See more keywords