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Reine Mathematik

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Sprenger, Torsten

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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
2005	Koepf, W., Schmersau, D., 2005. Positivity and monotony properties of the de Branges functions. Journal of Computational and Applied Mathematics 173, 279–294. https://doi.org/10.1016/j.cam.2004.03.021
2004	Gil, A., Koepf, W., Segura, J., 2004. Computing the real zeros of hypergeometric functions. Numerical Algorithms 36, 113–134. https://doi.org/10.1023/B:NUMA.0000033128.64649.7a
2004	Foupouagnigni, M., Koepf, W., Ronveaux, A., 2004. Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Journal of Computational and Applied Mathematics 162, 299–326. https://doi.org/10.1016/j.cam.2003.04.005
2003	Foupouagnigni, M., Koepf, W., Ronveaux, A., 2003. On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Journal of Difference Equations and Applications 9, 777–804. https://doi.org/10.1080/1023619031000097035
2003	Larcombe, P.J., Fennessey, E.J., Koepf, W., 2003. On Gould’s identity No. 1.45. Utilitas Mathematica 64, 19–24.
2002	Koepf, W., Schmersau, D., 2002. Recurrence equations and their classical orthogonal polynomial solutions. Applied Mathematics and Computation 128, 303–327. https://doi.org/10.1016/S0096-3003(01)00078-9

Projekte

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09/2014 - 08/2015	TWAS Kooperation
06/2014 - 04/2015	Pommaret-Basen & Hilbert-Schemata
01/2013 - 12/2016	Identifikation spezieller Funktionen, die durch Rodrigues-Formeln oder erzeugende Funktionen gegeben sind
11/2012 - 12/2015	Eigenschaften chromatischer Polynome
11/2011 - 12/2011	Tagungs-Konto / Konferenz CASC 2011
06/2011 - 12/2014	Connection, Linearization and Duplication Coefficients of Classical Orthogonal Polynomials
01/2010 - 12/2013	Moments of Classical Orthogonal Polynomials
05/2008 - 07/2014	Institutspartnerschaft Kamerun
06/2007 - 12/2014	Elimination in operator algebras
10/2005 - 12/2010	Algorithmen für q-holonome Funktionen und q-hypergeometrische Reihen