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

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Number of items at this level: 48.

## B

 Bleher, Pavel M., Deaño, Alfredo (2016) Painlevé I double scaling limit in the cubic matrix model. Random Matrices: Theory and Applications, 05 (2). p. 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)

 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)

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)
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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)
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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:10.1111/sapm.12123)
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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:10.1088/1751-8113/46/18/185205)
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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.
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Clarkson, Peter and Jordaan, Kerstin (2016) Properties of Generalized Freud Polynomials. Technical report. arxiv.org
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Clarkson, Peter, 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:10.1007/s00365-013-9220-4)
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Clarkson, Peter, 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:10.1007/s00365-013-9220-4)
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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)
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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
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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)
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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)
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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:10.1016/j.jat.2014.07.004)
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 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)

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)
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 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)

Deaño, Alfredo, Huybrechs, Daan, 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:10.1007/s10444-015-9442-z)
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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)
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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)
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 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)

 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)

 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)

 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)

 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)

 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)

## F

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)
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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)
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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: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., 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)
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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)
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## K

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

 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)

 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)

 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)

 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)

 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)

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

 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)

## N

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)
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## P

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)
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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
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## T

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)
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This list was generated on Mon Jan 20 22:11:04 2020 GMT.