Congruence properties of Lehmer-Euler numbers
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DOI: 10.1007/s00010-024-01150-5
Abstract: Certain generalization of Euler numbers was defined in 1935 by Lehmer using cubic roots of unity, as a natural generalization of Bernoulli and Euler numbers. In this paper, Lehmer’s generalized Euler numbers are studied to… read more here.
Keywords: euler numbers; euler; congruence properties; properties lehmer ... See more keywords
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
Predicting Fine Dead Fuel Load of Forest Floors Based on Image Euler Numbers
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DOI: 10.3390/f15040726
Abstract: The fine dead fuel load on forest floors is the most critical classification feature in fuel description systems, affecting several parameters in the manifestation of wildland fires. An accurate determination of this fine dead fuel… read more here.
Keywords: fuel; euler numbers; load; dead fuel ... 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