Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Orthogonal Polynomials, Special Functions and Applications (OPSFA14)

The Guest Editors for this special issue are

Peter Clarkson (University of Kent at Canterbury, UK)
Erik Koelink (Radboud University Nijmegen, The Netherlands)
Ana Loureiro (University of Kent at Canterbury, UK)
Walter Van Assche (University of Leuven, Belgium)

The special issue will be related to the 14th International Symposium on Orthogonal Polynomials, Special Functions and Application (OPSFA14), to be held in Canterbury, UK in July 2017. The papers in the special issue will highlight the latest developments in the field of Orthogonal Polynomials and Special Functions.

Papers from the participants and from other authors whose work fits into the field are welcome for this issue. For this issue, both original research articles and review papers are welcome.

There are no paper length limits to the submitted works. Deadline for the submission is January 31, 2018.

All articles will go through the standard peer reviewing procedure of SIGMA.

Papers in this Issue:

Structure Relations of Classical Orthogonal Polynomials in the Quadratic and $q$-Quadratic Variable
Maurice Kenfack Nangho and Kerstin Jordaan
SIGMA 14 (2018), 126, 26 pages [ abs pdf ]
Inverse of Infinite Hankel Moment Matrices
Christian Berg and Ryszard Szwarc
SIGMA 14 (2018), 109, 48 pages [ abs pdf ]
Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros
Amparo Gil, Javier Segura and Nico M. Temme
SIGMA 14 (2018), 073,   9 pages [ abs pdf ]
Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
Mourad E.H. Ismail, Erik Koelink and Pablo Román
SIGMA 14 (2018), 072, 24 pages [ abs   pdf ]
$d$-Orthogonal Analogs of Classical Orthogonal Polynomials
Emil Horozov
SIGMA 14 (2018), 063, 27 pages [ abs   pdf ]
Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight
Thomas Oliver Conway and Percy Deift
SIGMA 14 (2018), 056, 66 pages [ abs   pdf ]
Quasi-Orthogonality of Some Hypergeometric and $q$-Hypergeometric Polynomials
Daniel D. Tcheutia, Alta S. Jooste and Wolfram Koepf
SIGMA 14 (2018), 051, 26 pages [ abs   pdf ]
Recurrence Relations for Wronskian Hermite Polynomials
Niels Bonneux and Marco Stevens
SIGMA 14 (2018), 048, 29 pages [ abs   pdf ]
On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes
Erik A. van Doorn
SIGMA 14 (2018), 047,   9 pages [ abs   pdf ]
The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra
Paul Terwilliger
SIGMA 14 (2018), 044, 18 pages   [ abs   pdf ]
One of the Odd Zeta Values from $\zeta(5)$ to $\zeta(25)$ Is Irrational. By Elementary Means
Wadim Zudilin
SIGMA 14 (2018), 028,   8 pages   [ abs   pdf ]
Fourier Series of Gegenbauer-Sobolev Polynomials
Óscar Ciaurri and Judit Mínguez
SIGMA 14 (2018), 024, 11 pages   [ abs   pdf ]
Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
Christophe Charlier and Alfredo Deaño
SIGMA 14 (2018), 018, 43 pages   [ abs   pdf ]
Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle
Adhemar Bultheel, Ruyman Cruz-Barroso and Andreas Lasarow
SIGMA 13 (2017), 090, 49 pages   [ abs   pdf ]
The Inverse Spectral Problem for Jacobi-Type Pencils
Sergey M. Zagorodnyuk
SIGMA 13 (2017), 085, 16 pages   [ abs   pdf ]

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