
Special Issue on Orthogonal Polynomials, Special Functions and Applications
The Guest Editors for this special issue are
Howard Cohl (National Institute of Standards and Technology, Gaithersburg, Maryland, USA)
Diego Dominici (State University of New York at New Paltz, USA)
Tom Koornwinder (University of Amsterdam, The Netherlands)
Victor Moll (Tulane University, New Orleans, Louisiana, USA)
Walter Van Assche (University of Leuven, Belgium)
The issue is related to the 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA13), held at the National Institute of Standards and Technology (NIST), Gaithersburg, Maryland, USA, June 1–5, 2015. The issue contains papers from participants of the meetings but also from others whose work fits into the topics of the symposium. Four of the plenary speakers wrote a contribution for this special issue (Charles Dunkl, Mourad Ismail, Teresa Pérez, and Wadim Zudilin) and there is a report from the open problem session of OPSFA13. There are 28 papers with a total of 555 pages. We would like to thank the chairs of the scientific committee of OPSFA13, and in particular Daniel W. Lozier of NIST, for the organization of the meeting.
We are grateful to all the authors who have published papers in the issue, and give our special thanks to all the referees for providing constructive reviews.
The Guest Editors
Papers in this Issue:

On Asymptotic Regimes of Orthogonal Polynomials with Complex Varying Quartic Exponential Weight

Marco Bertola and Alexander Tovbis
SIGMA 12 (2016), 118, 50 pages [ abs
pdf ]

Multivariate Orthogonal Polynomials and Modified Moment Functionals

Antonia M. Delgado, Lidia Fernández, Teresa E. Pérez and Miguel A. Piñar
SIGMA 12 (2016), 090, 25 pages [ abs
pdf ]

A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres

Richard Chapling
SIGMA 12 (2016), 079, 20 pages [ abs
pdf ]

Orthogonal Polynomials Associated with Complementary Chain Sequences

Kiran Kumar Behera, A. Sri Ranga and A. Swaminathan
SIGMA 12 (2016), 075, 17 pages [ abs
pdf ]

Report from the Open Problems Session at OPSFA13

Edited by Howard S. Cohl
SIGMA 12 (2016), 071, 12 pages [ abs
pdf ]

Periodic GMP Matrices

Benjamin Eichinger
SIGMA 12 (2016), 066, 19 pages [ abs
pdf ]

Multidimensional Toda Lattices: Continuous and Discrete Time

Alexander I. Aptekarev, Maxim Derevyagin, Hiroshi Miki and Walter Van Assche
SIGMA 12 (2016), 054, 30 pages [ abs
pdf ]

Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring

Dmitrii Karp and Elena Prilepkina
SIGMA 12 (2016), 052, 23 pages [ abs
pdf ]

Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials

Emil Horozov
SIGMA 12 (2016), 050, 14 pages [ abs
pdf ]

Shell Polynomials and Dual BirthDeath Processes

Erik A. van Doorn
SIGMA 12 (2016), 049, 15 pages [ abs
pdf ]

Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases

Luc Vinet and Alexei Zhedanov
SIGMA 12 (2016), 048, 14 pages [ abs
pdf ]

The Asymptotic Expansion of Kummer Functions for Large Values of the $a$Parameter, and Remarks on a Paper by Olver

Hans Volkmer
SIGMA 12 (2016), 046, 22 pages [ abs
pdf ]

Polynomial Sequences Associated with the Moments of Hypergeometric Weights

Diego Dominici
SIGMA 12 (2016), 044, 18 pages [ abs
pdf ]

OneStep Recurrences for Stationary Random Fields on the Sphere

R.K. Beatson and W. zu Castell
SIGMA 12 (2016), 043, 19 pages [ abs
pdf ]

Zeros of QuasiOrthogonal Jacobi Polynomials

Kathy Driver and Kerstin Jordaan
SIGMA 12 (2016), 042, 13 pages [ abs
pdf ]

Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

Michael J. Schlosser and Meesue Yoo
SIGMA 12 (2016), 039, 21 pages [ abs
pdf ]

Bôcher Contractions of Conformally Superintegrable Laplace Equations

Ernest G. Kalnins, Willard Miller Jr. and Eyal Subag
SIGMA 12 (2016), 038, 31 pages [ abs
pdf ]

Generalized Stieltjes Transforms of CompactlySupported Probability Distributions: Further Examples

Nizar Demni
SIGMA 12 (2016), 035, 13 pages [ abs
pdf ]

Orthogonality Measure on the Torus for VectorValued Jack Polynomials

Charles F. Dunkl
SIGMA 12 (2016), 033, 27 pages [ abs
pdf ]

Classes of Bivariate Orthogonal Polynomials

Mourad E.H. Ismail and Ruiming Zhang
SIGMA 12 (2016), 021, 37 pages [ abs
pdf ]

Orthogonal Polynomials on the Unit Ball and FourthOrder Partial Differential Equations

Clotilde Martínez and Miguel A. Piñar
SIGMA 12 (2016), 020, 11 pages [ abs
pdf ]

Orthogonal vs. NonOrthogonal Reducibility of MatrixValued Measures

Erik Koelink and Pablo Román
SIGMA 12 (2016), 008, 9 pages [ abs
pdf ]

Hankel Determinants of Zeta Values

Alan Haynes and Wadim Zudilin
SIGMA 11 (2015), 101, 5 pages [ abs
pdf ]

Tableau Formulas for OneRow Macdonald Polynomials of Types $C_n$ and $D_n$

Boris Feigin, Ayumu Hoshino, Masatoshi Noumi, Jun Shibahara and Jun'ichi Shiraishi
SIGMA 11 (2015), 100, 21 pages [ abs
pdf ]

Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter

Karen Ogilvie and Adri B. Olde Daalhuis
SIGMA 11 (2015), 095, 31 pages [ abs
pdf ]

Certain Integrals Arising from Ramanujan's Notebooks

Bruce C. Berndt and Armin Straub
SIGMA 11 (2015), 083, 11 pages [ abs
pdf ]

Moments and LegendreFourier Series for Measures Supported on Curves

Jean B. Lasserre
SIGMA 11 (2015), 077, 10 pages [ abs
pdf ]

Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions

Bartosz Langowski
SIGMA 11 (2015), 073, 17 pages [ abs
pdf ]

