2.2. Lie Groups, Special Functions, Approximation Theory and Complex Analysis

Papers in journals and proceedings

H. BAVINCK, A direct approach to Koekoek's differential equation for generalized Laguerre polynomials, Acta Math. Hung., 66 (1995), 247-253.

H. BAVINCK, On polynomials orthogonal with respect to an inner product involving differences, J. Comput. Appl. Math., 57 (1995), 17-27.

H. BAVINCK, On polynomials orthogonal with respect to an inner product involving differences (The general case), Appl. Anal., 59 (1995), 233-240.

H. BAVINCK, On the zeros of certain linear combinations of Chebyshev polynomials, J. Comput. Appl. Math., 65 (1995), 19-26.

H. BAVINCK, A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions, Indag. Math. (N.S.), 7 (1996), 281-291.

H. BAVINCK, A new result for Laguerre polynomials, J. Phys., A 29 (1996), L279.

H. BAVINCK AND H.A. DIETERMAN, Wave propagation in a finite cascade of masses and springs representing a train, Vehicle System Dynamics, 26 (1996), 45-60.

H. BAVINCK AND R. KOEKOEK, On a difference equation for generalizations of Charlier polynomials, J. Approx. Theory, 81 (1996), 195-206.

M.G. DE BRUIN AND H.G. MEIJER, Zeros of orthogonal polynomials in a non-discrete Sobolev space, Ann. Numer. Math., 2 (1995), 233-246.

M.G. DE BRUIN AND A. SHARMA, Equiconvergence of some simultaneous Hermite-Padé interpolants, Math. Modelling and Numer. Anal., 29 (1995), 477-503.

M.G. DE BRUIN AND A. SHARMA, Equiconvergence of some simultaneous Hermite-Padé interpolants multiple nodes, pp. 103-110 in: Approximation Theory VIII, Vol. 1: Approximation and Interpolation, Series in Approximations and Decompositions, C.K. Chui, L.L. Schumacher (eds.), World Scientific Publishing Co., 1995.

A. BULTHEEL, P. GONZ´ALEZ-VERA, E. HENDRIKSEN AND O. NJ\AA STAD, Favard theorem for reproducing kernels, J. Comput. Appl. Math., 57 (1995), 57-76.

A. BULTHEEL, P. GONZ´ALEZ-VERA, E. HENDRIKSEN AND O. NJ\AA STAD, Convergence of modified approximants associated with orthogonal rational functions, J. Comput. Appl. Math., 57 (1995), 77-86.

A. BULTHEEL, P. GONZ´ALEZ-VERA, E. HENDRIKSEN AND O. NJ\AA STAD, Convergence of orthogonal rational functions, pp. 111-123 in: Computational methods and function theory, R.M. Ali, St. Ruscheweyh and E.B. Saff (eds.), World Scientific Publishing Co., 1995.

A. BULTHEEL, P. GONZ´ALEZ-VERA, E. HENDRIKSEN AND O. NJ\AA STAD, Orthogonal rational functions and modified approximants, Numer. Algorithms, 11 (1996), 57-69.

A. BULTHEEL, P. GONZ´ALEZ-VERA, E. HENDRIKSEN AND O. NJ\AA STAD, On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle, Numer. Algorithms, 13 (1996), 321-344.

M.A. CHAUDHRY, N.M. TEMME AND E.J.M. VELING, Asymptotics and closed form of a generalized incomplete Gamma function, J. Comput. Appl. Math. 67 (1996), 371-379.

J.F. VAN DIEJEN, Commuting difference operators with polynomial eigenfunctions, Compositio Math., 95 (1995), 183-233.

J.F. VAN DIEJEN, Difference Calogero-Moser systems and finite Toda chains, J. Math. Phys., 36 (1995), 1299-1323.

J.F. VAN DIEJEN, On the diagonalization of difference Calogero-Sutherland systems, pp. 79-89 in: Symmetries and integrability of difference equations, CRM Proc. Lecture Notes 9, Amer. Math. Soc., 1996.

H.A. DIETERMAN, J.E.D. STIELTJES AND H. BAVINCK, Structural differences in wave propagation in discrete and continuous systems, Arch. Appl. Mech., 66 (1995), 100-110.

G. VAN DIJK, Harmonic analysis on the finite symmetric spaces GL(n,K)/ , Indag. Math. (N.S.), 6 (1995), 153-166.

B. DRABANT, Braided bosonization and inhomogeneous quantum groups, Acta Appl. Math., 44 (1996), 117-132.

G.J. HECKMAN AND E.M. OPDAM, Harmonic analysis for affine Hecke algebras, in: Current Developments in Mathematics, S.-T. Yau (ed.), International Press, Boston (1996).

E.G. KALNINS, V.B. KUZNETSOV AND W. MILLER, JR., Separation of variables and XXZ Gaudin magnet, Rend. Sem. Mat. Univ. Politec. Torino, 53 (1995) no.2, 109-120.

H.T. KOELINK, Addition formula for big q-Legendre polynomials from the quantum SU(2) group, Canad. J. Math., 47 (1995), 436-448.

H.T. KOELINK, Identities for q-ultraspherical polynomials and Jacobi functions, Proc. Amer. Math. Soc., 123 (1995), 2479-2487.

H.T. KOELINK, The quantum group of plane motions and basic Bessel functions, Indag. Math. (N.S.), 6 (1995), 197-211.

H.T. KOELINK, Askey-Wilson polynomials and the quantum SU(2) group: survey and applications, Acta Appl. Math., 44 (1996), 295-352.

H.T. KOELINK, On Jacobi and continuous Hahn polynomials, Proc. Amer. Math. Soc., 124 (1996), 887-898.

H.T. KOELINK, 8 Lectures on quantum groups and q-special functions, Rev. Colomb. Mat., 30 (1996), 93-180.

H.T. KOELINK, Yet another basic analogue of Graf's addition formula, J. Comput. Appl. Math., 68 (1996), 209-220.

H.T. KOELINK AND R.F. SWARTTOUW, A q-analogue of Graf's addition formula for the Hahn-Exton q-Bessel function, J. Approx. Theory, 81 (1995), 260-273.

H.T. KOELINK AND W. VAN ASSCHE, Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton q-Bessel function, Constr. Approx., 11 (1995), 477-512.

H.T. KOELINK AND J. VERDING, Spectral analysis and the Haar functional on the quantum SU(2) group, Comm. Math. Phys., 177 (1996), 399-415.

T.H. KOORNWINDER, Discrete hypergroups associated with compact quantum Gelfand pairs, pp. 213-235 in: Applications of hypergroups and related measure algebras, W.C. Connett, M.-O. Gebuhrer and A.L. Schwartz (eds.), Contemp. Math. 183, Amer. Math. Soc., 1995.

T.H. KOORNWINDER, Jacobi polynomials of type BC, Jack polynomials, limit transitions and , pp. 283-286 in: Mathematical analysis, wavelets and signal processing, M.E.H. Ismail e.a. (eds.), Contemp. Math. 190, Amer. Math. Soc., 1995.

J. KOREVAAR, A monotonicity property of ultraspherical Christoffel numbers, Ann. Numer. Math., 5 (1995), 277-287.

J. KOREVAAR, Electrostatic fields due to distributions of electrons, Ann. Fac. Sci. Toulouse Math., Numéro spécial Stieltjes, 1996, pp. 57-76.

J. KOREVAAR, Fekete extreme points and related problems, pp. 35-62 in: Approximation theory and function series, Math. Studies 5, Bolyai Mathematical Society, Budapest, 1996.

A.B.J. KUIJLAARS, Chebyshev-type quadrature and partial sums of the exponential series, Math. Comp., 64 (1995), 251-263.

A.B.J. KUIJLAARS, Chebyshev-type quadrature for Jacobi weight functions, J. Comput. Appl. Math., 57 (1995), 171-180.

A.B.J. KUIJLAARS, Chebyshev-type quadrature and zeros of Faber polynomials, J. Comput. Appl. Math., 62 (1995), 155-179.

A.B.J. KUIJLAARS, Chebyshev-type quadrature for analytic weights on the circle and the interval, Indag. Math. (N.S.), 6 (1995), 419-432.

A.B.J. KUIJLAARS, Chebyshev quadrature for measures with a strong regularity, J. Comput. Appl. Math., 68 (1995), 207-214.

A.B.J. KUIJLAARS, The zeros of Faber polynomials generated by an m-star, Math. Comp., 65 (1996), 151-156.

A.B.J. KUIJLAARS, The role of the end point in weighted polynomial approximation with varying weights, Constr. Approx., 12 (1996), 287-301.

A.B.J. KUIJLAARS, A note on weighted polynomial approximation with varying weights, J. Approx. Theory, 87 (1996), 112-115.

A.B.J. KUIJLAARS, Weighted approximation with varying weights: the case of a power-type singularity, J. Math. Anal. Appl., 204 (1996), 409-418.

A.B.J. KUIJLAARS AND E.B. SAFF, Asymptotic distribution of the zeros of Faber polynomials, Math. Proc. Cambridge Phil. Soc., 118 (1995), 437-447.

V.B. KUZNETSOV, M.F. J\O RGENSEN AND P.L. CHRISTIANSEN, New boundary conditions for integrable lattices, J. Phys., A 28 (1995), 4639-4654.

V.B. KUZNETSOV AND E.K. SKLYANIN, Separation of variables in the type Jack polynomials (in Japanese), RIMS Kokyuroku, 919 (1995), 27-43.

E.D. VAN DER LENDE AND H.G.J. PIJLS, Super Toda lattices, Acta Appl. Math., 41 (1995), 297-298.

H.G. MEIJER, A short history of orthogonal polynomials in a Sobolev space I. The non-discrete case, Nieuw Arch. Wisk., (4) 14 (1996), 93-112.

E.M. OPDAM, A remark on the irreducible characters and fake degrees of finite real reflection groups, Invent. Math., 120 (1995), 447-454.

E.M. OPDAM, Harmonic analysis for certain representations of graded Hecke algebras, Acta Math., 175 (1995), 75-121.

P.J. DE PAEPE, Approximation on a disk IV. Indag. Math. (N.S.), 6 (1995), 477-479.

P.J. DE PAEPE, Algebras of continuous functions on disks, Proc. Roy. Irish Acad. Sect. A, 96 (1996), 85-90

N.M. TEMME, Asymptotics of zeros of incomplete Gamma functions, Ann. Numer. Math., 2 (1995), 415-423.

N.M. TEMME, Bernoulli polynomials old and new: Generalizations and asymptotics, CWI Quarterly, 8 (1995), 47-66.

N.M. TEMME, Uniform Asymptotic Expansions of Integrals: A Selection of Problems, J. Comput. Appl. Math., 65 (1995), 395-417.

N.M. TEMME, Uniform asymptotics for the incomplete Gamma functions, starting from negative values of the parameters, Methods Appl. Anal., 3 (1996), 335-344.

J. WIEGERINCK, Local polynomially convex hulls at degenerated CR singularities of surfaces in , Indiana Univ. Math. J., 44 (1995), 897-915.

R.A. ZUIDWIJK, Simultaneous similarity of convolution integral operators to powers of the operator of integration, Ukrainian Math. J., 47 (1995), 1432-1437.

R.A. ZUIDWIJK, Complementary triangular forms for infinite matrices, Oper. Theory: Adv. Appl., 80 (1995), 289-299.

Ph.D. Theses

P.G.A. FLORIS, On quantum groups, hypergroups and q-special functions, Leiden University (1995).

M.A. MONTERIE, Studies in potential theory, Free University Amsterdam (1995).

Reports and pre-prints

H. BAVINCK, Linear perturbations of differential or difference operators with polynomials as eigenfunctions, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-14 (1996).

H. BAVINCK, Some new results for Laguerre, Charlier and Meixner polynomials, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-41 (1996).

H. BAVINCK, Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-76 (1996).

H. BAVINCK AND H.A. DIETERMAN, Step-responses of finite and semi-infinite damped discrete cascades, Reports of the Fac. of Civil Engineering, Delft University of Technology 03.21.0.22.13 (1996).

H. BAVINCK, H.A. DIETERMAN AND J.E.D. STIELTJES, Pulse-response of discrete semi-infinite and finite one-dimensional media, Reports of the Fac. of Civil Engineering, Delft University of Technology 03.21.0.22.07 (1996).

H. BAVINCK AND R. KOEKOEK, Difference operators with Sobolev-type Meixner polynomials as eigenfunctions, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-07 (1996).

YU. BESPALOV AND B. DRABANT, Hopf bi-modules and crossed modules in braided monoidal categories, Math. Preprint Series 95-18 UvA (1995).

M.G. DE BRUIN AND C. KAMMINGA, Entropy normalization procedures for real signals, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-127 (1996).

M.G. DE BRUIN AND A. SHARMA, Overconvergence of some simultaneous Hermite-Padé interpolants, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 95-82 (1995).

K.J. BRUINSMA, M.G. DE BRUIN AND H.G. MEIJER, Zeros of Sobolev orthogonal polynomials following from coherent pairs, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 95-65 (1995).

J.F. VAN DIEJEN AND J.V. STOKMAN, q-Racah polynomials for BC type root systems, Math. Preprint Series 96-13 UvA (1996).

G. VAN DIJK AND S.C. HILLE, Canonical representations related to hyperbolic spaces, Report no. 3, Institut Mittag Leffler 1995/1996, preprint, to appear in J. Funct. Anal.

G. VAN DIJK AND S.C. HILLE, Maximal degenerate representations, Berezin kernels and canonical representations, Report W96-04 RUL, to appear in Proceedings Sophus Lie Center.

G. VAN DIJK AND K. MOKNI, Harmonic analysis on a class of generalized Gelfand pairs associated with hyperbolic spaces, Preprint Univ. of Monastir, to appear in Russian J. Math. Phys.

S.J.L. VAN EIJNDHOVEN AND P.J. OONINCX, Multiresolution Analyses in Hilbert Spaces, preprint.

P.G.A. FLORIS AND H.T. KOELINK, A commuting q-analogue of the addition formula for disk polynomials, Report W95-7 RUL (1995).

G.J. HECKMAN AND E.M. OPDAM, Yang's system of particles and Hecke algebras, Report 9517 Dept. of Math, Univ. of Nijmegen, preprint, to appear in Ann. of Math.

S.C. HILLE, Maximal degenerate representations of , Report RUL.

J. KOEKOEK AND R. KOEKOEK, Inversion methods for finding differential equations for generalized Jacobi polynomials, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-105 (1996).

J. KOEKOEK, R. KOEKOEK AND H. BAVINCK, On differential equations for Sobolev-type Laguerre polynomials, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 95-79 (1995).

H.T. KOELINK, Addition formulas for q-special functions, Math. Preprint Series 95-17 UvA (1995), to appear in `Special Functions, q-Series and Related Topics', Fields Insitute Communications.

H.T. KOELINK, q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B, Math. Preprint Series 96-07 UvA (1996).

H.T. KOELINK, Convolution and addition theorems for q-orthogonal polynomials, Math. Preprint Series 96-12 UvA (1996), to appear in Proc. Intern. Workshop on Orthogonal Polynomials, Madrid, 1996.

H.T. KOELINK AND J. VAN DER JEUGT, Convolutions for orthogonal polynomials from Lie and quantum algebra representations, Math. Preprint Series 96-11 UvA (1996), to appear in SIAM J. Math. Anal.

T.H. KOORNWINDER, Special functions and q-commuting variables, Report no. 1, Institut Mittag Leffler 1995/1996, to appear in `Special Functions, q-Series and Related Topics', Fields Insitute Communications.

T.H. KOORNWINDER AND N.M. MULLER, The quantum double of a (locally) compact group, Math. Preprint Series 96-08 (UvA) (1996), to appear in J. Lie Theory.

T.H. KOORNWINDER AND A.M. SCHWARTZ, Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle, Math. Preprint Series 95-23 UvA (1995), to appear in Constr. Approx.

A.B.J. KUIJLAARS, The role of the endpoint in weighted polynomial approximation with varying weights, Report 95-001, Institute for Constructive Mathematics, University of South Florida, Tampa (1995).

A.B.J. KUIJLAARS AND E.B. SAFF, Asymptotics for minimal discrete energy on the sphere, Math. Preprint Series 95-22 UvA (1995).

H.G. MEIJER, Determination of all coherent pairs of functionals, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 95-41 (1995).

H.G. MEIJER, Determination of all coherent pairs, Reports of the Fac. of Techn. Math. and Inf., Delft University of Technology, 96-43 (1996).

YU.A. SHARSHOV, Representations of the group SU(p,q) associated with a cone, Report W96-03 RUL

J.V. STOKMAN, Multivariable big and little q-Jacobi polynomials, Math. Preprint Series 95-16 UvA (1995), to appear in SIAM J. Math. Anal.

J.V. STOKMAN, Two limit transitions involving multivariable Askey-Wilson polynomials, Math. Preprint Series 96-01 UvA (1996) to appear in Proceedings of the Mini-Semester on Quantum Groups and Quantum Spaces, Warsaw (1995), Banach Center Publications.

J.V. STOKMAN, BC type Askey-Wilson polynomials with partly discrete orthogonality measure, Math. Preprint Series 96-06 UvA (1996), to appear in Ramanujan J.

J.V. STOKMAN AND T.H. KOORNWINDER, Limit transitions for BC type multivariable orthogonal polynomials, Math. Preprint Series 95-19 UvA (1995), to appear in Canad. J. Math.

N.M. TEMME, Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets, CWI Report AM-R9613 (1996), to appear in Appl. Comput. Harmon. Anal.

Other publications

M.G. DE BRUIN, Continuous Sobolev-Laguerre orthogonal polynomials and their generalized continued fractions, Communications in the Analytic Theory of Continued Fractions 5 (1996), 42.

G. VAN DIJK, Thomas Jan Stieltjes, wiskundige, eredoctor van de Leidse Universiteit, Dieslezing 1995, RUL/LUF.

G. VAN DIJK, Thomas Stieltjes Jr. 1856-1894, Hoogleeraar in de wiskunde, Leidsche Historische Reeks, (1996).

G. VAN DIJK, Analysis on Lie groups, pp. 123-128 in: Images of SMC Research 1996, Stichting Mathematisch Centrum, Amsterdam (1996).

G. VAN DIJK AND V.F. MOLCHANOV, Harmonic analysis on homogeneous Spaces, Encycl. Math. Sciences 59, Springer-Verlag (1995).

E.A. DE KERF AND H.G.J. PIJLS (EDS.), Proceedings Seminar 1989-1990 Mathematical Structures in Field Theory, CWI Syllabus 39, Stichting Mathematisch Centrum, Amsterdam (1996).

N.M. TEMME, Special Functions: An Introduction to the classical functions of mathematical physics, Wiley, 1996.