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Diego Dominici and Francisco Marcellan. Linear functionals and $Delta$- coherent pairs of the second kind. Technical report no. 23-02 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. February 2023. [url] [pdf] [bib]
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Diego Dominici . Recurrence relations for the moments of discrete semiclassical functionals of class $sleq2.$. Technical report no. 23-05 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. March 2023. [url] [pdf] [bib]
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Diego Dominici, Juan Carlos García Ardila, and Francisco Marcellan. Symmetrization process and truncated orthogonal polynomials. RISC internal. Technical report, 2023. [bib]
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Diego Dominici and Francisco Marcell{\'a}n. Truncated Hermite polynomials. Technical report no. 22-10 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2022. [url] [pdf] [bib]
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Diego Dominici. Comparative asymptotics for discrete semiclassical orthogonal polynomials. Technical report no. 22-11 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2022. [url] [pdf] [bib]
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Diego Dominici and Juan José Moreno Balcázar. Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials. Technical report no. 22-16 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. November 2022. [url] [pdf] [bib]
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Dominici Diego. Orthogonality of the Dickson polynomials of the $(k+1)$-th kind. Rev. Un. Mat. Argentina 62(1), pp. 1-30. 2021. ISSN 0041-6932. [url] [bib]
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Diego Dominici. Recurrence relations for the moments of discrete semiclassical orthogonal polynomials.. Technical report no. 21-23 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. August 2021. [url] [pdf] [bib]
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Dominici Diego, Pillwein Veronika. A sequence of polynomials generated by a Kapteyn series of the second kind. In: Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra--in honour of Peter Paule on his 60th birthday, Pillwein, Veronika and Schneider, Carsten (ed.), Texts Monogr. Symbol. Comput. , pp. 159-179. 2020. Springer, Cham, 978-3-030-44558-4; 978-3-030-44559-1. [url] [bib]
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Dominici Diego. Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis. Bull. Math. Sci. 10(2), pp. 2050003, 32-2050003. 2020. ISSN 1664-3607. [url] [bib]
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Dominici Diego. Hankel determinants, Hahn polynomials, and a formula of Krattenthaler. S'em. Lothar. Combin. 81, pp. Art. B81i, 14-Art. . 2020. 1286-4889. [bib]
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Dominici Diego. Power series expansion of a Hankel determinant. Linear Algebra Appl. 601, pp. 17-54. 2020. ISSN 0024-3795. [url] [bib]
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Dominici Diego. Matrix factorizations and orthogonal polynomials. Random Matrices Theory Appl. 9(1), pp. 2040003, 33-2040003. 2020. ISSN 2010-3263. [url] [bib]
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Dominici Diego. Mehler-Heine type formulas for the Krawtchouk polynomials. J. Math. Anal. Appl. 486(1), pp. 123877, 25-123877, . 2020. ISSN 0022-247X. [url] [bib]
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Dominici Diego. Mehler-Heine type formulas for Charlier and Meixner polynomials II. Higher order terms. J. Class. Anal. 12(1), pp. 9-13. 2018. ISSN 1848-5979. [url] [bib]
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Dominici Diego. Laguerre-Freud equations for generalized Hahn polynomials of type I. J. Difference Equ. Appl. 24(6), pp. 916-940. 2018. ISSN 1023-6198. [url] [bib]
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Dominici Diego. Polynomial sequences associated with the moments of hypergeometric weights. SIGMA Symmetry Integrability Geom. Methods Appl. 12, pp. Paper No. 044, 18-P. 2016. 1815-0659. [url] [bib]
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Dominici Diego. Mehler-Heine type formulas for Charlier and Meixner polynomials. Ramanujan J. 39(2), pp. 271-289. 2016. ISSN 1382-4090. [url] [bib]
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Dominici Diego, Van Assche Walter. Zero distribution of polynomials satisfying a differential-difference equation. Anal. Appl. (Singap.) 12(6), pp. 635-666. 2014. ISSN 0219-5305. [url] [bib]
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Dominici Diego, Marcell'an Francisco. Discrete semiclassical orthogonal polynomials of class one. Pacific J. Math. 268(2), pp. 389-411. 2014. ISSN 0030-8730. [url] [bib]
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Dominici D., Johnston S. J., Jordaan K.. Real zeros of $_2F_1$ hypergeometric polynomials. J. Comput. Appl. Math. 247, pp. 152-161. 2013. ISSN 0377-0427. [url] [bib]
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Dominici Diego, Knessl Charles. Asymptotic analysis of a family of polynomials associated with the inverse error function. Rocky Mountain J. Math. 42(3), pp. 847-872. 2012. ISSN 0035-7596. [url] [bib]
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Dominici Diego E., Gill Peter M. W., Limpanuparb Taweetham. A remarkable identity involving Bessel functions. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 468(2145), pp. 2667-2681. 2012. ISSN 1364-5021. [url] [bib]
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Tautz R. C., Lerche I., Dominici D.. Methods for summing general Kapteyn series. J. Phys. A 44(38), pp. 385202, 14-385202, . 2011. ISSN 1751-8113. [url] [bib]
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Dominici Diego Ernesto. On Taylor series and Kapteyn series of the first and second type. J. Comput. Appl. Math. 236(1), pp. 39-48. 2011. ISSN 0377-0427. [url] [bib]
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Dominici Diego. An arithmetic metric. College Math. J. 42(3), pp. 207-214. 2011. ISSN 0746-8342. [url] [bib]
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Cohl Howard S., Dominici Diego E.. Generalized Heine's identity for complex Fourier series of binomials. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 467(2126), pp. 333-345. 2011. ISSN 1364-5021. [url] [bib]
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Dominici Diego, Driver Kathy, Jordaan Kerstin. Polynomial solutions of differential-difference equations. J. Approx. Theory 163(1), pp. 41-48. 2011. ISSN 0021-9045. [url] [bib]
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Tautz R. C., Dominici D.. The analytical summation of a new class of Kapteyn series. Phys. Lett. A 374(13-14), pp. 1414-1419. 2010. ISSN 0375-9601. [url] [bib]
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Dominici Diego. Fisher information of orthogonal polynomials. I. J. Comput. Appl. Math. 233(6), pp. 1511-1518. 2010. ISSN 0377-0427. [url] [bib]
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Diego Dominici. Asymptotic Analysis of the Zeros of Hermite Polynomials. In: Progress in industrial mathematics at ECMI 2008, Alistair D. Fitt, John Norbury, Hilary Ockendon, Eddie Wilson (ed.), Mathematics in Industry 15, pp. 99-103. 2010. Springer , Berlin, Heidelberg, 978-3-642-12110-4. [bib]
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Dominici Diego. Asymptotic analysis of the Bell polynomials by the ray method. J. Comput. Appl. Math. 233(3), pp. 708-718. 2009. ISSN 0377-0427. [url] [bib]
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Dominici Diego. A few observations on the Collatz problem. Int. J. Appl. Math. Stat. 14(J09), pp. 97-107. 2009. ISSN 0973-1377. [bib]
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Dominici Diego. Polynomial solutions of nonlinear integral equations. J. Phys. A 42(20), pp. 205201, 8-205201, 8. 2009. ISSN 1751-8113. [url] [bib]
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Dominici Diego. Variations on a theme by James Stirling. Note Mat. 28(1), pp. 1-13. 2008. ISBN 978-88-548-2267-2 ISSN 1123-2536. [bib]
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Knessl Charles, Dominici Diego Ernesto. Asymptotic analysis of a fluid model modulated by an $M/M/1$ queue. Adv. in Appl. Probab. 40(3), pp. 856-881. 2008. ISSN 0001-8678. [url] [bib]
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Dominici Diego. Some properties of the inverse error function. In: Tapas in experimental mathematics, Amdeberhan, Tewodros and Moll, Victor H. (ed.), Contemp. Math. 457, pp. 191-203. 2008. Amer. Math. Soc., Providence, RI, 978-0-8218-4317-8. [url] [bib]
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Dominici Diego. Asymptotic analysis of generalized Hermite polynomials. Analysis (Munich) 28(2), pp. 239-261. 2008. ISSN 0174-4747. [url] [bib]
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Dominici Diego. Asymptotic analysis of the Krawtchouk polynomials by the WKB method. Ramanujan J. 15(3), pp. 303-338. 2008. ISSN 1382-4090. [url] [bib]
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Diego Dominici. An application of Kapteyn series to a problem from queueing theory. In: Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, Rolf Jeltsch (ed.), PAMM, Proceedings in Applied Mathematics and Mechanics 71, pp. 2050005-2050006. 2008. WILEY-VCH Verlag GmbH & Co, 1617-7061. [bib]
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Dominici Diego. Asymptotic analysis of the Hermite polynomials from their differential-difference equation. J. Difference Equ. Appl. 13(12), pp. 1115-1128. 2007. ISSN 1023-6198. [url] [bib]
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Dominici Diego. A new Kapteyn series. Integral Transforms Spec. Funct. 18(5-6), pp. 409-418. 2007. ISSN 1065-2469. [url] [bib]
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Dominici Diego. Asymptotic analysis of the Askey-scheme. I. From Krawtchouk to Charlier. Cent. Eur. J. Math. 5(2), pp. 280-304. 2007. ISSN 1895-1074. [url] [bib]
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Dominici Diego. Some remarks on a paper by L. Carlitz: ``Some arithmetic properties of a special sequence of polynomials'' [Duke Math. J. bf 26 (1959), 583-590; MR0109230]. J. Comput. Appl. Math. 198(1), pp. 129-142. 2007. ISSN 0377-0427. [url] [bib]
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Dominici Diego, Knessl Charles. Ray solution of a singularly perturbed elliptic PDE with applications to communications networks. SIAM J. Appl. Math. 66(6), pp. 1871-1894. 2006. ISSN 0036-1399. [url] [bib]
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Dominici Diego. Asymptotic analysis of powers of matrices. Int. J. Math. Math. Sci., pp. Art. ID 79617, 12-A. 2006. ISSN 0161-1712. [url] [bib]
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Dominici Diego, Knessl Charles. Geometrical optics approach to Markov-modulated fluid models. Stud. Appl. Math. 114(1), pp. 45-93. 2005. ISSN 0022-2526. [url] [bib]
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Dominici Diego, Knessl Charles. Asymptotic analysis by the saddle point method of the Anick-Mitra-Sondhi model. J. Appl. Math. Stoch. Anal.(1), pp. 19-71. 2004. ISSN 1048-9533. [url] [bib]
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Dominici D., Knessl C.. A small elliptic perturbation of a backward-forward parabolic problem with applications to stochastic models. Appl. Math. Lett. 17(5), pp. 535-542. 2004. ISSN 0893-9659. [url] [bib]
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Dominici Diego Ernesto. Asymptotic analysis of a data-handling system and its generalization. 1st edition, 2003. ProQuest LLC, Ann Arbor, MI, 261 pages, ISBN 978-0496-45928-5. Thesis (Ph.D.)-University of Illinois at Chicago. [url] [bib]
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Dominici Diego. Nested derivatives: a simple method for computing series expansions of inverse functions. Int. J. Math. Math. Sci.(58), pp. 3699-3715. 2003. ISSN 0161-1712. [url] [bib]
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Dominici Diego E.. The inverse of the cumulative standard normal probability function. Integral Transforms Spec. Funct. 14(4), pp. 281-292. 2003. ISSN 1065-2469. [url] [bib]
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