Laguerre Expansions on Conic Domains
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-021-09866-7
Abstract: We study the Fourier orthogonal expansions with respect to the Laguerre type weight functions on the conic surface of revolution and the domain bounded by such a surface. The main results include a closed form… read more here.
Keywords: conic domains; expansions conic; laguerre expansions;
Approximation and localized polynomial frame on conic domains
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.109257
Abstract: Highly localized kernels constructed by orthogonal polynomials have been fundamental in recent development of approximation and computational analysis on the unit sphere, unit ball and several other regular domains. In this work we first study… read more here.
Keywords: defined via; approximation localized; localized polynomial; frame ... See more keywords
Hierarchical self-assembling and helical structure in focal conic domains in meniscus of ferroelectric liquid crystal.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.044706
Abstract: We investigate experimentally the formation of focal conic domains of the ferroelectric phase of a liquid crystal, chiral smectic C (SmC^{*}), in the meniscus geometry. The meniscus geometry is formed in the gap between two… read more here.
Keywords: focal conic; conic domains; helical structure; geometry ... See more keywords
Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains
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DOI: 10.3390/math7080706
Abstract: In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains. We investigate such interesting properties of each of… read more here.
Keywords: properties spiral; associated conic; spiral like; conic domains ... See more keywords
Applications of Symmetric Conic Domains to a Subclass of q-Starlike Functions
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DOI: 10.3390/sym14040803
Abstract: In this paper, the theory of symmetric q-calculus and conic regions are used to define a new subclass of q-starlike functions involving a certain conic domain. By means of this newly defined domain, a new… read more here.
Keywords: applications symmetric; conic domains; starlike functions; domains subclass ... See more keywords