An integral representation for the product of parabolic cylinder functions
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
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
More indefinite integrals from Riccati equations
Sign Up to like & getrecommendations! Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1647538
Abstract: ABSTRACT Two new methods for obtaining indefinite integrals of a special function using Riccati equations are presented. One method uses quadratic fragments of the Riccati equation, the solutions of which are given by simple quadratic… read more here.
Keywords: cylinder functions; riccati equations; indefinite integrals; integrals riccati ... See more keywords