An integral representation for the product of parabolic cylinder functions
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DOI: 10.1080/10652469.2016.1247837
Abstract: ABSTRACT This paper uses the convolution theorem of the Laplace transform to derive an inverse Laplace transform for the product of two parabolic cylinder functions in which the orders as well as the arguments differ.… read more here.
Keywords: cylinder functions; product; parabolic cylinder; integral representation ... See more keywords
Generating functions for generalized Hermite polynomials associated with parabolic cylinder functions
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DOI: 10.1080/10652469.2019.1697695
Abstract: ABSTRACT In this article, we first give some basic properties of generalized Hermite polynomials associated with parabolic cylinder functions. We next use Weisnerś group theoretic method and operational rules method to establish new generating functions… read more here.
Keywords: generalized hermite; associated parabolic; generating functions; hermite polynomials ... See more keywords
Design and analysis of a novel deployable hexagonal prism module for parabolic cylinder antenna
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DOI: 10.5194/ms-12-9-2021
Abstract: Abstract. This paper presents a novel deployable hexagonal prism module for parabolic cylinder antennas that exhibit characteristics of geometric scalability. The hexagonal prism module consists of six basic rib mechanisms distributed along the axis and… read more here.
Keywords: parabolic cylinder; novel deployable; prism module; prism ... See more keywords