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without external funding

New classes of orthogonal polynomials

Project Details

Project duration: 01/2004–12/2006

Research Areas

Pure Mathematics

Publications

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2013	Koepf, W., Masjed-Jamei, M., 2013. On generating symmetric orthogonal polynomials. Complex Variables and Elliptic Equations 58, 1373–1385. https://doi.org/10.1080/17476933.2012.674522
2013	Koepf, W., Masjed-Jamei, M., 2013. Two finite classes of orthogonal functions. Applicable Analysis 92, 2392–2403. https://doi.org/10.1080/00036811.2012.738364
2012	Koepf, W., Masjed-Jamei, M., 2012. Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials. Proceedings of the American Mathematical Society 140, 2053–2063. https://doi.org/10.1090/S0002-9939-2011-11063-3
2011	Koepf, W., Masjed-Jamei, M., 2011. Computing two special cases of Gauss hypergeometric function. Creative Mathematics and Informatics 20, 137–146.
2011	Masjed-Jamei, M., Koepf, W., 2011. On incomplete symmetric orthogonal polynomials of Laguerre type. Applicable Analysis 90, 769–775. https://doi.org/10.1080/00036811003717970
2010	Masjed-Jamei, M., Koepf, W., 2010. On incomplete symmetric orthogonal polynomials of Jacobi type. Integral Transforms and Special Functions 21, 655–662. https://doi.org/10.1080/10652460903516751
2007	Koepf, W., Masjed-Jamei, M., 2007. Two classes of special functions using fourier transforms of some finite classes of classical orthogonal polynomials. Proceedings of the American Mathematical Society 135, 3599–3606. https://doi.org/10.1090/S0002-9939-07-08889-2
2006	Koepf, W., Masjed-Jamei, M., 2006. A generalization of Student’s t-distribution from the viewpoint of special functions. Integral Transforms and Special Functions 17, 863–875. https://doi.org/10.1080/10652460600856419
2006	Koepf, W., Masjed-Jamei, M., 2006. A generic formula for the values at the boundary points of monic classical orthogonal polynomials. Journal of Computational and Applied Mathematics 191, 98–105. https://doi.org/10.1016/j.cam.2005.04.024
2006	Koepf, W., Masjed-Jamei, M., 2006. A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it. Integral Transforms and Special Functions 17, 559–576. https://doi.org/10.1080/10652460600725234