Fractional operators and multi-integral representations for associated Legendre functions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0066214
Abstract: In a recent paper, Cohl and Costas-Santos derived a number of interesting multi-derivative and multi-integral relations for the associated Legendre and Ferrers functions in which the orders of those functions are changed in integral steps.… read more here.
Keywords: representations associated; associated legendre; operators multi; multi integral ... See more keywords
On integral representations and asymptotics of some hypergeometric functions in two variables
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1404596
Abstract: ABSTRACT The leading asymptotic behaviour of the Humbert functions , , of two variables is found, when the absolute values of the two independent variables become simultaneously large. New integral representations of these functions are… read more here.
Keywords: two variables; hypergeometric functions; integral representations; functions two ... See more keywords
Hybrid Time-Domain PTD and Physical Optics Contour Integral Representations for the Near-Field Backscattering Problem
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2019.2894320
Abstract: Time-domain physical optics (TDPO) contour integral representations are developed for backscattered near fields from a perfectly conducting surface illuminated by a dipole source. The proposed representations are derived from the TDPO surface integral representations by… read more here.
Keywords: physical optics; contour integral; time domain; integral representations ... See more keywords
Integral Representations of Fields in Three-Dimensional Problems of Diffraction by Penetrable Bodies
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DOI: 10.1134/s0012266120090050
Abstract: For the boundary value problem of diffraction of an external disturbance by a local penetrable body with smooth surface, we construct an integral representation of the solution based on a linear combination of single and… read more here.
Keywords: three dimensional; dimensional problems; representations fields; integral representations ... See more keywords
On f-Divergences: Integral Representations, Local Behavior, and Inequalities
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DOI: 10.3390/e20050383
Abstract: This paper is focused on f-divergences, consisting of three main contributions. The first one introduces integral representations of a general f-divergence by means of the relative information spectrum. The second part provides a new approach… read more here.
Keywords: behavior inequalities; divergences integral; integral representations; local behavior ... See more keywords