Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng Asymptotics of partition functions in a fermionic matrix model and of related \(q\)-polynomials. (English) Zbl 1419.81028 Stud. Appl. Math. 142, No. 1, 91-105 (2019). MSC: 81T10 33D90 41A60 14K25 60B20 33C45 PDFBibTeX XMLCite \textit{D. Dai} et al., Stud. Appl. Math. 142, No. 1, 91--105 (2019; Zbl 1419.81028) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Ruiming On some \(2D\) orthogonal \(q\)-polynomials. (English) Zbl 1380.33004 Trans. Am. Math. Soc. 369, No. 10, 6779-6821 (2017). Reviewer: James Wan (Singapore) MSC: 33C45 33C50 33D50 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Trans. Am. Math. Soc. 369, No. 10, 6779--6821 (2017; Zbl 1380.33004) Full Text: DOI arXiv
Dai, Dan; Ismail, Mourad E. H.; Wang, Jun Asymptotics for Laguerre polynomials with large order and parameters. (English) Zbl 1315.33013 J. Approx. Theory 193, 4-19 (2015). Reviewer: M. Abdessadek Saib (Lyon) MSC: 33C45 35Q15 PDFBibTeX XMLCite \textit{D. Dai} et al., J. Approx. Theory 193, 4--19 (2015; Zbl 1315.33013) Full Text: DOI
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems. (English) Zbl 1315.41014 Constr. Approx. 40, No. 1, 61-104 (2014). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C47 30E05 PDFBibTeX XMLCite \textit{D. Dai} et al., Constr. Approx. 40, No. 1, 61--104 (2014; Zbl 1315.41014) Full Text: DOI arXiv
El-Guindy, Ahmad; Ismail, Mourad E. H. On the Atkin polynomials. (English) Zbl 1311.33009 Pac. J. Math. 272, No. 1, 111-130 (2014). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C47 11F03 33C05 PDFBibTeX XMLCite \textit{A. El-Guindy} and \textit{M. E. H. Ismail}, Pac. J. Math. 272, No. 1, 111--130 (2014; Zbl 1311.33009) Full Text: DOI arXiv
Ismail, Mourad E. H.; Simeonov, Plamen Asymptotics of generalized derangements. (English) Zbl 1270.33004 Adv. Comput. Math. 39, No. 1, 101-127 (2013). MSC: 33C45 34M30 05A15 06A07 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, Adv. Comput. Math. 39, No. 1, 101--127 (2013; Zbl 1270.33004) Full Text: DOI
Ismail, Mourad E. H.; Li, Xin Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials. (English) Zbl 1272.33019 Constr. Approx. 37, No. 3, 341-356 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 41A60 65Q30 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{X. Li}, Constr. Approx. 37, No. 3, 341--356 (2013; Zbl 1272.33019) Full Text: DOI arXiv
Ismail, Mourad E. H.; Mansour, Z. S. I. \(q\)-analogues of Freud weights and nonlinear difference equations. (English) Zbl 1211.39007 Adv. Appl. Math. 45, No. 4, 518-547 (2010). Reviewer: Andrei A. Kapaev (Trieste) MSC: 39A13 42C05 33D50 33C47 33E17 41A17 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{Z. S. I. Mansour}, Adv. Appl. Math. 45, No. 4, 518--547 (2010; Zbl 1211.39007) Full Text: DOI
Ismail, Mourad E. H.; Simeonov, Plamen Inequalities and asymptotics for a terminating \({}_4F_3\) series. (English) Zbl 1156.33002 Ill. J. Math. 51, No. 3, 861-881 (2007). Reviewer: Wadim Zudilin (Bonn) MSC: 33C20 26D15 30E15 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, Ill. J. Math. 51, No. 3, 861--881 (2007; Zbl 1156.33002) Full Text: Link
Ismail, Mourad E. H. Asymptotics of zeros of certain entire functions. (English) Zbl 1127.30012 Anal. Appl., Singap. 5, No. 3, 291-299 (2007). Reviewer: Roelof Koekoek (Delft) MSC: 30D10 33D15 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Anal. Appl., Singap. 5, No. 3, 291--299 (2007; Zbl 1127.30012) Full Text: DOI
Ismail, Mourad E. H.; Zhang, Changgui Zeros of entire functions and a problem of Ramanujan. (English) Zbl 1107.33018 Adv. Math. 209, No. 1, 363-380 (2007). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 33E05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{C. Zhang}, Adv. Math. 209, No. 1, 363--380 (2007; Zbl 1107.33018) Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming Chaotic and periodic asymptotics for \(q\)-orthogonal polynomials. (English) Zbl 1109.33025 Int. Math. Res. Not. 2006, No. 23, Article ID 83274, 33 p. (2006). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 41A60 11F27 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Int. Math. Res. Not. 2006, No. 23, Article ID 83274, 33 p. (2006; Zbl 1109.33025) Full Text: DOI
Ismail, Mourad E. H.; Stanton, Dennis Ramanujan continued fractions via orthogonal polynomials. (English) Zbl 1103.11003 Adv. Math. 203, No. 1, 170-193 (2006). Reviewer: Takao Komatsu (Hirosaki) MSC: 11A55 40A15 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{D. Stanton}, Adv. Math. 203, No. 1, 170--193 (2006; Zbl 1103.11003) Full Text: DOI
Ismail, Mourad E. H. Asymptotics of \(q\)-orthogonal polynomials and a \(q\)-Airy function. (English) Zbl 1072.33014 Int. Math. Res. Not. 2005, No. 18, 1063-1088 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 33D15 33C10 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Int. Math. Res. Not. 2005, No. 18, 1063--1088 (2005; Zbl 1072.33014) Full Text: DOI
Dunkl, Charles (ed.); Ismail, Mourad (ed.); Wong, Roderick (ed.) Special functions. Proceedings of the international workshop on special functions – asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21–25, 1999. (English) Zbl 0954.00030 Singapore: World Scientific. xi, 438 p. (2000). MSC: 00B25 33-06 37-06 81-06 PDFBibTeX XMLCite \textit{C. Dunkl} (ed.) et al., Special functions. Proceedings of the international workshop on special functions -- asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21--25, 1999. Singapore: World Scientific (2000; Zbl 0954.00030)
Chen, Yang; Ismail, Mourad E. H. Asymptotics of the largest zeros of some orthogonal polynomials. (English) Zbl 0943.33009 J. Phys. A, Math. Gen. 31, No. 25, 5525-5544 (1998). Reviewer: Matthew He (Ft.Lauderdale) MSC: 33D45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, J. Phys. A, Math. Gen. 31, No. 25, 5525--5544 (1998; Zbl 0943.33009) Full Text: DOI
Ismail, Mourad E. H.; Simeonov, Plamen Strong asymptotics for Krawtchouk polynomials. (English) Zbl 0948.41018 J. Comput. Appl. Math. 100, No. 2, 121-144 (1998). Reviewer: R.P.Agarwal (Lucknow) MSC: 41A60 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, J. Comput. Appl. Math. 100, No. 2, 121--144 (1998; Zbl 0948.41018) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H.; Van Assche, Walter Tau-function constructions of the recurrence coefficients of orthogonal polynomials. (English) Zbl 0930.42012 Adv. Appl. Math. 20, No. 2, 141-168 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Adv. Appl. Math. 20, No. 2, 141--168 (1998; Zbl 0930.42012) Full Text: DOI
Chen, Yang; Ismail, M. E. H. Some indetermining moment problems and Freud-like weights. (English) Zbl 0913.30024 Constructive Approximation 14, No. 3, 439-458 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 30E05 33D45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, Constr. Approx. 14, No. 3, 439--458 (1998; Zbl 0913.30024) Full Text: DOI
Al-Salam, Waleed A.; Ismail, Mourad E. H. A \(q\)-beta integral on the unit circle and some biorthogonal rational functions. (English) Zbl 0835.33011 Proc. Am. Math. Soc. 121, No. 2, 553-561 (1994). Reviewer: Ch.Krattenthaler (Wien) MSC: 33D45 33D05 42A65 PDFBibTeX XMLCite \textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 121, No. 2, 553--561 (1994; Zbl 0835.33011) Full Text: DOI
Ismail, Mourad E. H. Asymptotics of Pollaczek polynomials and their zeros. (English) Zbl 0805.33005 SIAM J. Math. Anal. 25, No. 2, 462-473 (1994). Reviewer: R.Askey (Madison) MSC: 33C45 30E15 41A60 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, SIAM J. Math. Anal. 25, No. 2, 462--473 (1994; Zbl 0805.33005) Full Text: DOI
Ismail, M. E. H.; Masson, D. R.; Saff, E. B. A minimal solution approach to polynomial asymptotics. (English) Zbl 0836.30004 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 299-303 (1991). Reviewer: L.Lorentzen (Trondheim) MSC: 30B70 40A15 33C45 39A10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., IMACS Ann. Comput. Appl. Math. 9, 299--303 (1991; Zbl 0836.30004)
Chen, Li-Chen; Ismail, Mourad E. H. On asymptotics of Jacobi polynomials. (English) Zbl 0735.33004 SIAM J. Math. Anal. 22, No. 5, 1442-1449 (1991). Reviewer: N.M.Temme (Amsterdam) MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{L.-C. Chen} and \textit{M. E. H. Ismail}, SIAM J. Math. Anal. 22, No. 5, 1442--1449 (1991; Zbl 0735.33004) Full Text: DOI
Ismail, Mourad E. H.; Mulla, Fuad S. On the generalized Chebyshev polynomials. (English) Zbl 0611.33015 SIAM J. Math. Anal. 18, 243-257 (1987). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{F. S. Mulla}, SIAM J. Math. Anal. 18, 243--257 (1987; Zbl 0611.33015) Full Text: DOI