Edit Profile (opens in new tab) Leopold, Elie Co-Author Distance Author ID: leopold.elie Published as: Leopold, Elie; Leopold, E. Documents Indexed: 16 Publications since 1981 Co-Authors: 4 Co-Authors with 8 Joint Publications 133 Co-Co-Authors Co-Authors 8 single-authored 8 Gilewicz, Jacek 2 Valent, Galliano 1 Beckermann, Bernhard 1 Ruffing, Andreas all top 5 Serials 4 Journal of Computational and Applied Mathematics 3 Numerical Algorithms 2 Journal of Approximation Theory 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Applicationes Mathematicae 1 Integral Transforms and Special Functions all top 5 Fields 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Functions of a complex variable (30-XX) 3 Real functions (26-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 54 times in 39 Documents Cited by ▼ Year ▼ New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes. Zbl 1084.33004 Gilewicz, Jacek; Leopold, Elie; Valent, Galliano 9 2005 Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients. Zbl 0606.30007 Gilewicz, J.; Leopold, E. 8 1985 Recurrence relations with periodic coefficients and Chebyshev polynomials. Zbl 0849.42014 Beckermann, B.; Gilewicz, J.; Leopold, E. 6 1995 Perturbed recurrence relations. Zbl 1035.65157 Leopold, Elie 5 2003 Location of the zeros of polynomials satisfying three-term recurrence relations with complex coefficients. Zbl 0919.30006 Gilewicz, Jacek; Leopold, Elie 4 1994 Perturbed recurrence relations. II: The general case. Zbl 1220.42018 Leopold, Elie 4 2007 Location of the zeros of polynomials satisfying three-term recurrence relations. III. Positive coefficients case. Zbl 0576.41006 Leopold, E. 4 1985 On the sharpness of results in the theory of location of zeros of polynomials defined by three term recurrence relations. Zbl 0599.30012 Gilewicz, J.; Leopold, E. 4 1985 The extremal zeros of a perturbed orthogonal polynomials system. Zbl 0929.42015 Leopold, Elie 3 1998 Some cubic birth and death processes and their related orthogonal polynomials. Zbl 1106.33008 Gilewicz, Jacek; Leopold, Elie; Ruffing, Andreas; Valent, Galliano 3 2006 Perturbed recurrence relations. III: The general case-some new applications. Zbl 1152.42004 Leopold, Elie 3 2008 Padé approximant inequalities for the functions of the class S. Zbl 0473.41013 Gilewicz, J.; Leopold, E. 2 1981 Location of the zeros of orthogonal polynomials with an automatic procedure. I. Zbl 0935.65049 Leopold, Elie 2 1998 Zeros of polynomials and recurrence relations with periodic coefficients. Zbl 0947.42016 Gilewicz, Jacek; Leopold, Elie 1 1999 Perturbed recurrence relations. III: The general case-some new applications. Zbl 1152.42004 Leopold, Elie 3 2008 Perturbed recurrence relations. II: The general case. Zbl 1220.42018 Leopold, Elie 4 2007 Some cubic birth and death processes and their related orthogonal polynomials. Zbl 1106.33008 Gilewicz, Jacek; Leopold, Elie; Ruffing, Andreas; Valent, Galliano 3 2006 New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes. Zbl 1084.33004 Gilewicz, Jacek; Leopold, Elie; Valent, Galliano 9 2005 Perturbed recurrence relations. Zbl 1035.65157 Leopold, Elie 5 2003 Zeros of polynomials and recurrence relations with periodic coefficients. Zbl 0947.42016 Gilewicz, Jacek; Leopold, Elie 1 1999 The extremal zeros of a perturbed orthogonal polynomials system. Zbl 0929.42015 Leopold, Elie 3 1998 Location of the zeros of orthogonal polynomials with an automatic procedure. I. Zbl 0935.65049 Leopold, Elie 2 1998 Recurrence relations with periodic coefficients and Chebyshev polynomials. Zbl 0849.42014 Beckermann, B.; Gilewicz, J.; Leopold, E. 6 1995 Location of the zeros of polynomials satisfying three-term recurrence relations with complex coefficients. Zbl 0919.30006 Gilewicz, Jacek; Leopold, Elie 4 1994 Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients. Zbl 0606.30007 Gilewicz, J.; Leopold, E. 8 1985 Location of the zeros of polynomials satisfying three-term recurrence relations. III. Positive coefficients case. Zbl 0576.41006 Leopold, E. 4 1985 On the sharpness of results in the theory of location of zeros of polynomials defined by three term recurrence relations. Zbl 0599.30012 Gilewicz, J.; Leopold, E. 4 1985 Padé approximant inequalities for the functions of the class S. Zbl 0473.41013 Gilewicz, J.; Leopold, E. 2 1981 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 8 Leopold, Elie 4 Gilewicz, Jacek 2 Borzov, Vadim V. 2 Shukla, Vinay 2 Swaminathan, Anbhu 2 Wang, Xiangsheng 1 Abdelkader, Emna 1 Bacher, Roland 1 Ben Romdhane, Neila 1 Berg, Christian 1 Bochkov, Ivan 1 Cao, Lihua 1 Castillo, Kenier 1 Christiansen, Jacob Stordal 1 Dai, Dan 1 Dias, R. G. 1 Domínguez de la Iglesia, Manuel 1 Dominici, Diego Ernesto 1 Flajolet, Philippe 1 Golub, Anatoly P. 1 Huang, Xiaomin 1 Ismail, Mourad El-Houssieny 1 Marcellán Español, Francisco 1 Marques, A. M. 1 Nakatsukasa, Yuji 1 Noferini, Vanni 1 Notaris, Sotirios E. 1 Osilenker, Boris P. 1 Parthasarathy, Panamalai Ramarao 1 Paszkowski, Stefan 1 Pintér, Ákos 1 Romanov, Roman V. 1 Sudhesh, Ramupillai 1 Szwarc, Ryszard 1 Valent, Galliano 1 Van Assche, Walter 1 van der Poorten, Alfred J. 1 van Doorn, Erik A. 1 van Foreest, Nicky D. 1 Xu, Yuan 1 Zeifman, Alexander Izrailevich all top 5 Cited in 22 Serials 8 Journal of Computational and Applied Mathematics 3 Journal of Approximation Theory 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 Applied Numerical Mathematics 2 Constructive Approximation 2 Numerical Algorithms 2 Journal of Mathematical Sciences (New York) 1 Advances in Applied Probability 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Numerische Mathematik 1 Revista de la Unión Matemática Argentina 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical all top 5 Cited in 22 Fields 22 Special functions (33-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 8 Approximations and expansions (41-XX) 7 Functions of a complex variable (30-XX) 6 Probability theory and stochastic processes (60-XX) 5 Numerical analysis (65-XX) 4 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 3 Number theory (11-XX) 3 Ordinary differential equations (34-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year