Items where Subject is "Q Science > QA Mathematics (inc Computing science) > QA351 Special functions"

Library of Congress Subject Areas (63681)
- Q Science (17927)
  - QA Mathematics (inc Computing science) (6542)
    - QA351 Special functions (54)

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Number of items at this level: 54.

2025

Hone, Andrew N.W., Clarkson, Peter, Mitchell, Ben, Dzhamay, Anton (2025) Special solutions of a discrete Painlevé equation for quantum minimal surfaces. Theoretical and Mathematical Physics, . ISSN 0040-5779. (doi:10.1134/S0040577925080045) (KAR id:112796)

2023

Clarkson, Peter, Law, Chun-Kong, Lin, Chia-Hua (2023) A Constructive Proof for the Umemura Polynomials of the for the third Painlevé equation. Symmetry, Integrability and Geometry: Methods and Applications, 19 . Article Number 080. ISSN 1815-0659. (doi:10.3842/SIGMA.2023.080) (KAR id:103469)

2022

Hone, Andrew N.W. (2022) Heron triangles with two rational medians and Somos-5 sequences. European Journal of Mathematics, 8 (4). pp. 1424-1486. ISSN 2199-675X. E-ISSN 2199-6768. (doi:10.1007/s40879-022-00586-w) (KAR id:89745)

Lima, Helder, Loureiro, Ana F. (2022) Multiple orthogonal polynomials with respect to Gauss' hypergeometric function. Studies in Applied Mathematics, 148 (1). pp. 154-185. ISSN 0022-2526. (doi:10.1111/sapm.12437) (KAR id:85292)

2021

Deaño, Alfredo, Eijsvoogel, Bruno, Román, Pablo (2021) Ladder relations for a class of matrix valued orthogonal polynomials. Studies in Applied Mathematics, 146 (2). pp. 463-497. ISSN 0022-2526. (doi:10.1111/sapm.12351) (KAR id:80236)

2020

Deaño, Alfredo, SImm, Nicholas J (2020) Characteristic polynomials of complex random matrices and Painlevé transcendents. International Mathematics Research Notices, . Article Number rnaa111. ISSN 1073-7928. (doi:10.1093/imrn/rnaa111) (KAR id:80235)

Lima, Hélder, Loureiro, Ana (2020) Multiple orthogonal polynomials associated with confluent hypergeometric functions. Journal of Approximation Theory, 260 . Article Number 105484. ISSN 0021-9045. (doi:10.1016/j.jat.2020.105484) (KAR id:82879)

2019

Loureiro, Ana F., Xu, Kuan (2019) Volterra-type convolution of classical polynomials. Mathematics of Computation, 88 . pp. 2351-2381. ISSN 0025-5718. E-ISSN 1088-6842. (doi:10.1090/mcom/3427) (KAR id:66954)

2018

Clarkson, Peter and Koelink, Erik and Loureiro, Ana F. and Van Assche, Walter, eds. (2018) Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) - Special Issue on Orthogonal Polynomials, Special Functions and Applications. Symmetry, Integrability and Geometry: Methods and Applications, 15 . ISSN 1815-0659. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:64886)

2017

Deaño, Alfredo, SImm, Nicholas J (2017) On the probability of positive-definiteness in the gGUE via semi-classical Laguerre polynomials. Journal of Approximation Theory, 220 . pp. 44-59. ISSN 0021-9045. (doi:10.1016/j.jat.2017.04.004) (KAR id:58331)

Hone, Andrew N.W., Novikov, Vladimir S., Wang, Jing Ping (2017) Two-component generalizations of the Camassa-Holm equation. Nonlinearity, 30 (2). pp. 622-658. ISSN 0951-7715. E-ISSN 1361-6544. (doi:10.1088/1361-6544/aa5490) (KAR id:54154)

Pearson, John W, Olver, Sheehan, Porter, Mason A (2017) Numerical methods for the computation of the confluent and Gauss hypergeometric functions. Numerical Algorithms, 74 (3). pp. 821-866. ISSN 1017-1398. (doi:10.1007/s11075-016-0173-0) (KAR id:48161)

Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. [Preprint] (doi:10.48550/arXiv.1701.03238) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:59909)

2016

Bleher, Pavel M., Deaño, Alfredo (2016) Painlevé I double scaling limit in the cubic matrix model. Random Matrices: Theory and Applications, 05 (2). Article Number 1650004. ISSN 2010-3263. E-ISSN 2010-3263. (doi:10.1142/S2010326316500040) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70210)

Bleher, Pavel M., Deaño, Alfredo, Yattselev, Maxim (2016) Topological expansion in the complex cubic log-gas model. One-cut case. Journal of Statistical Physics, 166 (3-4). pp. 784-827. ISSN 0022-4715. E-ISSN 1572-9613. (doi:10.1007/s10955-016-1621-x) (KAR id:64099)

Clarkson, Peter (2016) On Airy Solutions of the Second Painleve Equation. Studies in Applied Mathematics, 137 (1). pp. 93-109. ISSN 0022-2526. (doi:10.1111/sapm.12123) (KAR id:51255)

Clarkson, Peter, Loureir0, Ana F., Van Assche, Walter (2016) Unique positive solution for an alternative discrete Painlevé I equation. Journal of Difference Equations and Applications, 22 (5). pp. 656-675. ISSN 1023-6198. E-ISSN 1563-5120. (doi:10.1080/10236198.2015.1127917) (KAR id:51098)

Deaño, Alfredo, Huertas, Edmundo, Román, Pablo (2016) Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure. Journal of Mathematical Analysis and Applications, 433 (1). pp. 732-746. ISSN 0022-247X. (doi:10.1016/j.jmaa.2015.08.002) (KAR id:51338)

Deaño, Alfredo, Huybrechs, Daan, Opsomer, Peter (2016) Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. Advances in Computational Mathematics, 42 . pp. 791-822. ISSN 1019-7168. E-ISSN 1572-9044. (doi:10.1007/s10444-015-9442-z) (KAR id:51339)

Fedorov, Yuri N., Hone, Andrew N.W. (2016) Sigma-function solution to the general Somos-6 recurrence via hyperelliptic Prym varieties. Journal of Integrable Systems, 1 (1). ISSN 2058-5985. (doi:10.1093/integr/xyw012) (KAR id:53527)

+1 more...

2015

Clarkson, Peter, Jordaan, Kerstin, Kelil, Abey (2015) A Generalized Freud Weight. Studies in Applied Mathematics, 136 (3). pp. 288-320. ISSN 0022-2526. E-ISSN 1467-9590. (doi:10.1111/sapm.12105) (KAR id:51095)

Deaño, Alfredo, Kuijlaars, Arno B. J., Román, Pablo (2015) Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions. Constructive Approximation, 43 . pp. 153-196. ISSN 0176-4276. (doi:10.1007/s00365-015-9300-8) (KAR id:51340)

2014

Deaño, Alfredo (2014) Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval. Journal of Approximation Theory, 186 . pp. 33-63. ISSN 0021-9045. (doi:10.1016/j.jat.2014.07.004) (KAR id:51343)

Loureiro, Ana F., Maroni, P., Yakubovich, S. (2014) On a polynomial sequence associated with the Bessel operator. Proceedings of the American Mathematical Society, 142 . pp. 467-482. ISSN 0002-9939. E-ISSN 1088-6826. (doi:10.1090/S0002-9939-2013-11658-8) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:48597)

Loureiro, Ana F. and Yakubovich, S. (2014) On especial cases of Boas-Buck type polynomial sequences. In: Milovanovi?, G. and Rassias, M., eds. Analytic Number Theory, Approximation Theory, and Special Functions. Springer New York, pp. 705-720. ISBN 978-1-4939-0257-6. E-ISBN 978-1-4939-0258-3. (doi:10.1007/978-1-4939-0258-3_26) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:48595)

2013

Clarkson, Peter (2013) Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations. Journal of Physics A: Mathematical and Theoretical, 46 (18). ISSN 1751-8113. (doi:10.1088/1751-8113/46/18/185205) (KAR id:33120)

Clarkson, Peter, Jordaan, Kerstin (2013) The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:10.1007/s00365-013-9220-4) (KAR id:51256)

Hone, Andrew N.W., Ragnisco, Orlando, Zullo, Federico (2013) Properties of the series solution for Painlevé I. Journal of Nonlinear Mathematical Physics, 20 (Supp.1). pp. 85-100. ISSN 1402-9251. (doi:10.1080/14029251.2013.862436) (KAR id:41485)

Loureiro, Ana F., Yakubovich, S. (2013) Central factorials under the Kontorovich–Lebedev transform of polynomials. Integral Transforms and Special Functions, 24 (3). ISSN 1065-2469. (doi:10.1080/10652469.2012.672325) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31543)

2012

Loureiro, Ana F., ed. (2012) Opuscula Mathematica - a special journal issue. Opuscula Mathematica, 32 (4). ISSN 1232-9274. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:64934)

Bleher, Pavel M., Deaño, Alfredo (2012) Topological expansion in the cubic random matrix model. International Mathematics Research Notices, 12 (1). pp. 2699-2755. ISSN 1073-7928. (doi:10.1093/imrn/rns126) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70215)

Loureiro, Ana F., Maroni, P. (2012) Polynomial sequences associated with the classical linear functionals. Numerical Algorithms, 60 (2). pp. 297-314. ISSN 1017-1398. (doi:10.1007/s11075-012-9573-y) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31541)

2011

Loureiro, Ana F., Maroni, P. (2011) Around q-Appell polynomial sequences. Ramanujan Journal, 26 (3). pp. 311-321. ISSN 1382-4090. (doi:10.1007/s11139-011-9336-8) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31547)

Loureiro, Ana F., Maroni, P. (2011) Quadratic decomposition of Laguerre polynomials via lowering operators. Journal of Approximation Theory, 163 (7). pp. 888-903. ISSN 0021-9045. (doi:10.1016/j.jat.2010.07.009) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31555)

2010

Deaño, Alfredo, Huybrechs, Daan, Kuijlaars, Arno B. J. (2010) Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. Journal of Approximation Theory, 162 . pp. 2202-2224. ISSN 0021-9045. (doi:10.1016/j.jat.2010.07.006) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70217)

Deaño, Alfredo, Segura, Javier, Temme, Nico M. (2010) Computational properties of three-term recurrence relations for Kummer functions. Journal of Computational and Applied Mathematics, 233 (6). pp. 1505-1510. ISSN 0377-0427. (doi:10.1016/j.cam.2008.03.051) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70237)

Deaño, Alfredo, Temme, Nico M. (2010) Analytical and numerical aspects of a generalization of the complementary error function. Applied Mathematics and Computation, 216 (12). pp. 3680-3693. ISSN 0096-3003. (doi:10.1016/j.amc.2010.05.025) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70219)

Loureiro, Ana F. (2010) New results on the Bochner condition about classical orthogonal polynomials. Journal of Mathematical Analysis and Applications, 364 (2). pp. 307-323. ISSN 0022-247X. (doi:10.1016/j.jmaa.2009.12.003) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31561)

2009

Deaño, Alfredo, Temme, Nico M. (2009) On modified asymptotic series involving confluent hypergeometric functions. Electronic Transactions on Numerical Analysis, 35 . pp. 88-103. ISSN 1068-9613. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70236)

2008

Clarkson, Peter (2008) The fourth Painleve equation. . (KAR id:23090)

Common, Alan K., Hone, Andrew N.W. (2008) Rational solutions of the discrete time Toda lattice and the alternate discrete Painleve II equation. Journal of Physics A: Mathematical and Theoretical, 41 (48). p. 485203. ISSN 1751-8113. (doi:10.1088/1751-8113/41/48/485203) (KAR id:41488)

Deaño, Alfredo, Segura, Javier, Temme, Nico M. (2008) Identifying minimal and dominant solutions for Kummer recursions. Mathematics of Computation, 77 . pp. 2277-2293. ISSN 0025-5718. (doi:10.1090/S0025-5718-08-02122-4) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70232)

Hone, Andrew N.W. (2008) Algebraic curves, integer sequences and a discrete Painleve transcendent. In: SIDE 6, 19-24 June 2004, Helsinki, Finland. (Unpublished) (KAR id:41489)

Kalli, Maria, Walker, Stephen G. (2008) Mixtures of Stick-Breaking Processes. Centre for Health Services Studies, 22 pp. (KAR id:24720)

Loureiro, Ana F. (2008) Hahn's generalized problem and corresponding Appell sequences. Doctor of Philosophy (PhD) thesis, Faculty of Sciences, University of Porto. (KAR id:31571)

Loureiro, Ana F., Maroni, P. (2008) Quadratic decomposition of Appell sequences. Expositiones Mathematicae, 26 (2). pp. 177-186. ISSN 0723-0869. (doi:10.1016/j.exmath.2007.10.002) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31563)

Torre, Amalia, Evans, Andy, El Gawhary, O., Severini, S. (2008) Relativistic Hermite polynomials and Lorentz beams. Journal of Optics A: Pure and Applied Optics, 10 (11). pp. 1-16. ISSN 1464-4258. (doi:10.1088/1464-4258/10/11/115007) (KAR id:14630)

2007

Deaño, Alfredo, Segura, Javier (2007) Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions. Mathematics of Computation, 76 (258). pp. 879-901. ISSN 0025-5718. (doi:10.1090/S0025-5718-07-01934-5) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70230)

2006

Deaño, Alfredo and Gil, Amparo and Segura, Javier (2006) Computation of real zeros of the Kummer function M(a;c;x). In: Mathematical Software - ICMS 2006 Second International Congress on Mathematical Software. Lecture Notes in Computer Science . Springer, Berlin, Germany, pp. 296-307. ISBN 978-3-540-38084-9. E-ISBN 978-3-540-38086-3. (doi:10.1007/11832225_30) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70227)

Loureiro, Ana F., Maroni, P., Rocha, Z. da (2006) The generalised Bochner condition about classical orthogonal polynomials revisited. Journal of Mathematical Analysis and Applications, 322 (2). pp. 645-667. ISSN 0022-247X. (doi:10.1016/j.jmaa.2005.09.026) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31538)

2005

Braden, H.W., Enolskii, V.Z., Hone, Andrew N.W. (2005) Bilinear recurrences and addition formulae for hyperelliptic sigma functions. Journal of Nonlinear Mathematical Physics, 12 (Sup.2). pp. 46-62. ISSN 1402-9251. (doi:10.2991/jnmp.2005.12.s2.5) (KAR id:41493)

2004

Deaño, Alfredo, Segura, Javier (2004) New inequalities from classical Sturm theorems. Journal of Approximation Theory, 131 (2). pp. 208-230. ISSN 0021-9045. (doi:10.1016/j.jat.2004.09.006) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70221)

2002

Hone, Andrew N.W. (2002) Lattice equations and tau-functions for a coupled Painlevé system. Nonlinearity, 15 (3). pp. 735-745. ISSN 0951-7715. (doi:10.1088/0951-7715/15/3/313) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:41498)

2000

Nijhoff, Frank W., Joshi, Nalini, Hone, Andrew N.W. (2000) On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation. Physics Letters A, 264 (5). pp. 396-406. ISSN 0375-9601. (doi:10.1016/S0375-9601(99)00764-1) (KAR id:41500)

This list was generated on Wed Jan 28 23:20:23 2026 GMT.