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

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Number of items at this level: 36.

B

Braden, H.W. and Enolskii, V.Z. and 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:https://doi.org/10.2991/jnmp.2005.12.s2.5) (Full text available)
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C

Clarkson, Peter (2016) On Airy Solutions of the Second Painleve Equation. Studies in Applied Mathematics, 137 (1). pp. 93-109. ISSN 0022-2526. (doi:https://doi.org/10.1111/sapm.12123) (Full text available)
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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:https://doi.org/10.1088/1751-8113/46/18/185205) (Full text available)
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Clarkson, Peter (2008) The fourth Painleve equation. In: Guo, Li and Sit, William Y., eds. Differential Algebra and Related Topics. World Scientific, Singapore. ISBN 978-981-283-371-6. (Full text available)
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Clarkson, Peter and Jordaan, Kerstin (2014) The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:https://doi.org/10.1007/s00365-013-9220-4) (Full text available)
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Clarkson, Peter and Jordaan, Kerstin (2014) The relationship between semi-classical Laguerre polynomials and the fourth Painlevé equation. Constructive Approximation, 39 (1). pp. 223-254. ISSN 0176-4276. (doi:https://doi.org/10.1007/s00365-013-9220-4) (Full text available)
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Clarkson, Peter and Loureiro, Ana F. and Van Assche, Walter (2016) Unique positive solution for an alternative discrete Painlevé I equation. Journal of Difference Equations and Applications, . ISSN 1563-5120 (electronic) 1023-6198 (paper). (doi:https://doi.org/10.1080/10236198.2015.1127917) (Full text available)
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Clarkson, Peter and Jordaan, Kerstin (2016) Properties of Generalized Freud Polynomials. Technical report. arxiv.org (Full text available)
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Clarkson, Peter and Jordaan, Kerstin and Kelil, Abey (2015) A Generalized Freud Weight. Studies in Applied Mathematics, 136 (3). pp. 288-320. ISSN 0022-2526. E-ISSN 1467-9590. (doi:https://doi.org/10.1111/sapm.12105) (Full text available)
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Clarkson, Peter and Law, Chun-Kong and Lin, Chia-Hua (2016) An algebraic proof for the Umemura polynomials for the third Painlevé equation. Technical report. arxiv.org (Full text available)
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Common, Alan K. and 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:https://doi.org/10.1088/1751-8113/41/48/485203) (Full text available)
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D

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:https://doi.org/10.1016/j.jat.2014.07.004) (Full text available)
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Deaño, Alfredo and Huertas, Edmundo and 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. (Full text available)
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Deaño, Alfredo and Kuijlaars, Arno B. J. and Román, Pablo (2015) Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions. Constructive Approximation, . pp. 1-44. ISSN 0176-4276. (doi:https://doi.org/10.1007/s00365-015-9300-8) (Full text available)
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Deaño, Alfredo and Huybrechs, Daan and Opsomer, Peter (2016) Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. Advances in Computational Mathematics, . pp. 1-32. ISSN 1019-7168. E-ISSN 1572-9044. (doi:https://doi.org/10.1007/s10444-015-9442-z) (Full text available)
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Deaño, Alfredo and 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:https://doi.org/10.1016/j.jat.2017.04.004) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)
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F

Fedorov, Yuri N. and 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:https://doi.org/10.1093/integr/xyw012) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)
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H

Hone, Andrew N.W. (2008) Algebraic curves, integer sequences and a discrete Painleve transcendent. In: SIDE 6, 19-24 June 2004, Helsinki, Finland. (Unpublished) (Full text available)
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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:https://doi.org/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)

Hone, Andrew N.W. and Ragnisco, Orlando and 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:https://doi.org/10.1080/14029251.2013.862436) (Full text available)
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Hone, Andrew N.W. and Novikov, Vladimir S. and 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:https://doi.org/10.1088/1361-6544/aa5490) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided)
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K

Kalli, Maria and Walker, Stephen G. (2008) Mixtures of Stick-Breaking Processes. Centre for Health Services Studies, 22 pp. (Full text available)
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L

Loureiro, Ana F. (2008) Hahn's generalized problem and corresponding Appell sequences. Doctor of Philosophy (PhD) thesis, Faculty of Sciences, University of Porto. (Full text available)
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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:https://doi.org/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)

Loureiro, Ana F. and Maroni, P. (2011) Around q-Appell polynomial sequences. Ramanujan Journal, 26 (3). pp. 311-321. ISSN 1382-4090. (doi:https://doi.org/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)

Loureiro, Ana F. and Maroni, P. (2012) Polynomial sequences associated with the classical linear functionals. Numerical Algorithms, 60 (2). pp. 297-314. ISSN 1017-1398. (doi:https://doi.org/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)

Loureiro, Ana F. and Maroni, P. (2008) Quadratic decomposition of Appell sequences. Expositiones Mathematicae, 26 (2). pp. 177-186. ISSN 0723-0869. (doi:https://doi.org/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)

Loureiro, Ana F. and Maroni, P. (2011) Quadratic decomposition of Laguerre polynomials via lowering operators. Journal of Approximation Theory, 163 (7). pp. 888-903. ISSN 0021-9045. (doi:https://doi.org/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)

Loureiro, Ana F. and Maroni, P. and 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:https://doi.org/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)

Loureiro, Ana F. and Maroni, P. and 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:https://doi.org/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)

Loureiro, Ana F. and Yakubovich, S. (2013) Central factorials under the Kontorovich–Lebedev transform of polynomials. Integral Transforms and Special Functions, 24 (3). ISSN 1065-2469. (doi:https://doi.org/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)

Loureiro, Ana F. and Yakubovich, S. (2014) On especial cases of Boas-Buck type polynomial sequences. In: Milovanović, 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:https://doi.org/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)

N

Nijhoff, Frank W. and Joshi, Nalini and 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:https://doi.org/10.1016/S0375-9601(99)00764-1) (Full text available)
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P

Pearson, John W and Olver, Sheehan and 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:https://doi.org/10.1007/s11075-016-0173-0) (Full text available)
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R

Rogers, Colin and Clarkson, Peter (2017) Ermakov-Painlevé II Symmetry Reduction of a Korteweg Capillarity System. Technical report. arXiv.org (Full text available)
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T

Torre, Amalia and Evans, Andy and El Gawhary, O. and 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:https://doi.org/10.1088/1464-4258/10/11/115007) (Full text available)
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