Alhaidari, A. D.; Ismail, M. E. H. Solutions of the scattering problem in a complete set of Bessel functions with a discrete index. (English) Zbl 07774852 J. Math. Phys. 64, No. 11, Article ID 112102, 13 p. (2023). MSC: 78A45 35Q55 33C10 PDFBibTeX XMLCite \textit{A. D. Alhaidari} and \textit{M. E. H. Ismail}, J. Math. Phys. 64, No. 11, Article ID 112102, 13 p. (2023; Zbl 07774852) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Ruiming Integral and series representations of \(q\)-polynomials and functions. III: Theta, Ramanujan and \(q\)-Bessel functions. (English) Zbl 1506.33010 Anal. Appl., Singap. 20, No. 1, 1-18 (2022). MSC: 33D15 33D05 33D45 33D60 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Anal. Appl., Singap. 20, No. 1, 1--18 (2022; Zbl 1506.33010) Full Text: DOI
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng On a Ramanujan type entire function and its zeros. (English) Zbl 1445.30015 J. Math. Anal. Appl. 485, No. 2, Article ID 123856, 16 p. (2020). Reviewer: Risto Korhonen (Joensuu) MSC: 30D10 33C10 PDFBibTeX XMLCite \textit{D. Dai} et al., J. Math. Anal. Appl. 485, No. 2, Article ID 123856, 16 p. (2020; Zbl 1445.30015) Full Text: DOI
Ismail, Mourad E. H.; Štampach, František Spectral analysis of two doubly infinite Jacobi matrices with exponential entries. (English) Zbl 07011433 J. Funct. Anal. 276, No. 6, 1681-1716 (2019). MSC: 47B36 33D90 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{F. Štampach}, J. Funct. Anal. 276, No. 6, 1681--1716 (2019; Zbl 07011433) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Ruiming \(q\)-Bessel functions and Rogers-Ramanujan type identities. (English) Zbl 1409.11082 Proc. Am. Math. Soc. 146, No. 9, 3633-3646 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P84 33D45 05A17 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Proc. Am. Math. Soc. 146, No. 9, 3633--3646 (2018; Zbl 1409.11082) Full Text: DOI arXiv
Ismail, Mourad E. H.; Zhang, Ruiming Integral and series representations of \(q\)-polynomials and functions. I. (English) Zbl 1387.33022 Anal. Appl., Singap. 16, No. 2, 209-281 (2018). MSC: 33D15 33D45 33D60 44A20 42A38 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Anal. Appl., Singap. 16, No. 2, 209--281 (2018; Zbl 1387.33022) Full Text: DOI arXiv
Ashour, Ola A.; Ismail, Mourad E. H.; Mansour, Zeinab S. On certain dual \(q\)-integral equations. (English) Zbl 1316.45004 Pac. J. Math. 275, No. 1, 63-102 (2015). MSC: 45F10 33C10 33D05 44A15 45B05 PDFBibTeX XMLCite \textit{O. A. Ashour} et al., Pac. J. Math. 275, No. 1, 63--102 (2015; Zbl 1316.45004) Full Text: DOI
Baricz, Árpád; Ismail, Mourad E. H. Turán type inequalities for Tricomi confluent hypergeometric functions. (English) Zbl 1273.33006 Constr. Approx. 37, No. 2, 195-221 (2013). Reviewer: Luan Ozelim (Brasilia) MSC: 33C15 26D07 PDFBibTeX XMLCite \textit{Á. Baricz} and \textit{M. E. H. Ismail}, Constr. Approx. 37, No. 2, 195--221 (2013; Zbl 1273.33006) Full Text: DOI arXiv
Chiang, Yik-Man; Ismail, Mourad E. H. Erratum to: On value distribution theory of second order periodic ODEs, special functions and orthogonal polynomials. (English) Zbl 1185.34133 Can. J. Math. 62, No. 2, 261 (2010). Reviewer: Klaus R. Schneider (Berlin) MSC: 34M10 33C15 33C47 PDFBibTeX XMLCite \textit{Y.-M. Chiang} and \textit{M. E. H. Ismail}, Can. J. Math. 62, No. 2, 261 (2010; Zbl 1185.34133) Full Text: DOI
Ismail, Mourad E. H.; Zeng, Jiang Addition theorems via continued fractions. (English) Zbl 1194.33017 Trans. Am. Math. Soc. 362, No. 2, 957-983 (2010). Reviewer: Jeremy Lovejoy (Paris) MSC: 33D15 33C15 30E05 05A15 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{J. Zeng}, Trans. Am. Math. Soc. 362, No. 2, 957--983 (2010; Zbl 1194.33017) Full Text: DOI arXiv
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
Chiang, Yik-Man; Ismail, Mourad E. H. On value distribution theory of second order periodic ODEs, special functions and orthogonal polynomials. (English) Zbl 1115.34081 Can. J. Math. 58, No. 4, 726-767 (2006). Reviewer: Kazuya Tohge (Kanazawa) MSC: 34M10 33C15 33C47 PDFBibTeX XMLCite \textit{Y.-M. Chiang} and \textit{M. E. H. Ismail}, Can. J. Math. 58, No. 4, 726--767 (2006; Zbl 1115.34081) 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
Chiang, Yik-Man; Ismail, Mourad E. H. Complex oscillation theory and special functions. (English) Zbl 1054.34140 C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 3, 117-123 (2002). Reviewer: Zhongqiu Ye (Nanchang) MSC: 34M10 33C47 PDFBibTeX XMLCite \textit{Y.-M. Chiang} and \textit{M. E. H. Ismail}, C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 3, 117--123 (2002; Zbl 1054.34140)
Ismail, Mourad E. H.; Rahman, Mizan; Stanton, Dennis Quadratic \(q\)-exponentials and connection coefficient problems. (English) Zbl 0934.33025 Proc. Am. Math. Soc. 127, No. 10, 2931-2941 (1999). Reviewer: D.Duverney (Lille) MSC: 33D45 42C15 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Proc. Am. Math. Soc. 127, No. 10, 2931--2941 (1999; Zbl 0934.33025) Full Text: DOI
Ismail, Mourad E. H. Remarks on a paper by Giordano, Laforgia, and Pečarić. (English) Zbl 0881.33003 J. Math. Anal. Appl. 211, No. 2, 621-625 (1997). Reviewer: N.M.Temme (Amsterdam) MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, J. Math. Anal. Appl. 211, No. 2, 621--625 (1997; Zbl 0881.33003) Full Text: DOI
Bustoz, Joaquin; Ismail, Mourad E. H. Turán inequalities for symmetric orthogonal polynomials. (English) Zbl 0874.33008 Int. J. Math. Math. Sci. 20, No. 1, 1-7 (1997). MSC: 33C45 33D45 PDFBibTeX XMLCite \textit{J. Bustoz} and \textit{M. E. H. Ismail}, Int. J. Math. Math. Sci. 20, No. 1, 1--7 (1997; Zbl 0874.33008) Full Text: DOI EuDML
Ismail, Mourad E. H.; Masson, David R.; Suslov, Sergei K. Some generating functions for \(q\)-polynomials. (English) Zbl 0873.33014 Ismail, Mourad E. H. (ed.) et al., Special functions, \(q\)-series and related topics. Providence, RI: American Mathematical Society. Fields Inst. Commun. 14, 91-108 (1997). Reviewer: A.N.Srivastava (Puna) MSC: 33D45 33D15 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Fields Inst. Commun. 14, 91--108 (1997; Zbl 0873.33014)
Ismail, Mourad E. H.; Muldoon, Martin E. Bounds for the small real and purely imaginary zeros of Bessel and related functions. (English) Zbl 0845.33003 Methods Appl. Anal. 2, No. 1, 1-21 (1995). Reviewer: U.Stadtmüller (Ulm) MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. E. Muldoon}, Methods Appl. Anal. 2, No. 1, 1--21 (1995; Zbl 0845.33003) Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming Diagonalization of certain integral operators. (English) Zbl 0838.33012 Adv. Math. 109, No. 1, 1-33 (1994). Reviewer: R.Askey (Madison) MSC: 33D20 39A70 33D45 45E10 42C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Adv. Math. 109, No. 1, 1--33 (1994; Zbl 0838.33012) Full Text: DOI
Gosper, R. William; Ismail, Mourad E. H.; Zhang, Ruiming On some strange summation formulas. (English) Zbl 0793.33016 Ill. J. Math. 37, No. 2, 240-277 (1993). Reviewer: R.Askey (Madison) MSC: 33E99 33C10 PDFBibTeX XMLCite \textit{R. W. Gosper} et al., Ill. J. Math. 37, No. 2, 240--277 (1993; Zbl 0793.33016)
Ismail, Mourad E. H.; Takeuchi, Yu; Zhang, Ruiming Pages from the computer files of R. William Gosper. (English) Zbl 0816.33001 Proc. Am. Math. Soc. 119, No. 3, 747-760 (1993). Reviewer: L.Lorentzen (Trondheim) MSC: 33B10 40A15 33D15 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Proc. Am. Math. Soc. 119, No. 3, 747--760 (1993; Zbl 0816.33001) Full Text: DOI
Ismail, Mourad E. H. Complete monotonicity of modified Bessel functions. (English) Zbl 0685.33004 Proc. Am. Math. Soc. 108, No. 2, 353-361 (1990). Reviewer: W.Van Assche MSC: 33C10 60E07 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 108, No. 2, 353--361 (1990; Zbl 0685.33004) Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming On the Hellmann-Feynman theorem and the variation of zeros of certain special functions. (English) Zbl 0684.33004 Adv. Appl. Math. 9, No. 4, 439-446 (1988). Reviewer: A.Laforgia MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Adv. Appl. Math. 9, No. 4, 439--446 (1988; Zbl 0684.33004) Full Text: DOI
Ismail, M. E. H.; Muldoon, M. E. Zeros of combinations of Bessel functions and their derivatives. (English) Zbl 0659.33003 Appl. Anal. 31, No. 1-2, 73-90 (1988). MSC: 33C10 30C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. E. Muldoon}, Appl. Anal. 31, No. 1--2, 73--90 (1988; Zbl 0659.33003) Full Text: DOI
Ismail, Mourad E. H.; Muldoon, Martin E. On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions. (English) Zbl 0651.33007 J. Math. Anal. Appl. 135, No. 1, 187-207 (1988). MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. E. Muldoon}, J. Math. Anal. Appl. 135, No. 1, 187--207 (1988; Zbl 0651.33007) Full Text: DOI
Ismail, Mourad E. H. On zeros of Bessel functions. (English) Zbl 0597.33008 Appl. Anal. 22, 167-168 (1986). Reviewer: M.E.Muldoon MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Appl. Anal. 22, 167--168 (1986; Zbl 0597.33008) Full Text: DOI
Ismail, Mourad E. H.; Muldoon, Martin E. Certain monotonicity properties of Bessel functions. (English) Zbl 0596.33010 J. Math. Anal. Appl. 118, 145-150 (1986). Reviewer: A.Laforgia MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. E. Muldoon}, J. Math. Anal. Appl. 118, 145--150 (1986; Zbl 0596.33010) Full Text: DOI
Al-Salam, Waleed A.; Ismail, Mourad E. H. Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction. (English) Zbl 0526.33009 Pac. J. Math. 104, 269-283 (1983). MSC: 33C45 PDFBibTeX XMLCite \textit{W. A. Al-Salam} and \textit{M. E. H. Ismail}, Pac. J. Math. 104, 269--283 (1983; Zbl 0526.33009) Full Text: DOI
Ismail, Mourad E. H.; Miller, Kenneth S. An infinitely divisible distribution involving modified Bessel functions. (English) Zbl 0501.33007 Proc. Am. Math. Soc. 85, 233-238 (1982). MSC: 33C10 60E07 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{K. S. Miller}, Proc. Am. Math. Soc. 85, 233--238 (1982; Zbl 0501.33007) Full Text: DOI
Ismail, Mourad E. H. The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials. (English) Zbl 0483.33004 J. Math. Anal. Appl. 86, 1-19 (1982). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, J. Math. Anal. Appl. 86, 1--19 (1982; Zbl 0483.33004) Full Text: DOI
Ismail, Mourad E. H. The basic Bessel functions and polynomials. (English) Zbl 0456.33005 SIAM J. Math. Anal. 12, 454-468 (1981). MSC: 33C45 33C05 33C10 33B15 40A15 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, SIAM J. Math. Anal. 12, 454--468 (1981; Zbl 0456.33005) Full Text: DOI
Ismail, Mourad E. H.; Ping May, C. Special functions, infinite divisibility and transcendental equations. (English) Zbl 0396.60021 Math. Proc. Camb. Philos. Soc. 85, 453-464 (1979). MSC: 60E07 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{C. Ping May}, Math. Proc. Camb. Philos. Soc. 85, 453--464 (1979; Zbl 0396.60021) Full Text: DOI
Ismail, Mourad E. H.; Muldoon, Martin E. Monotonicity of the zeros of a cross-product of Bessel functions. (English) Zbl 0388.33005 SIAM J. Math. Anal. 9, 759-767 (1978). MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. E. Muldoon}, SIAM J. Math. Anal. 9, 759--767 (1978; Zbl 0388.33005) Full Text: DOI
Ismail, Mourad E. H. Bessel functions and the infinite divisibility of the Student \(t\)-distribution. (English) Zbl 0369.60023 Ann. Probab. 5, 582-585 (1977). MSC: 60E05 33C55 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Ann. Probab. 5, 582--585 (1977; Zbl 0369.60023) Full Text: DOI
Ismail, Mourad E. H. Integral representations and complete monotonicity of various quotients of Bessel functions. (English) Zbl 0343.33005 Can. J. Math. 29, 1198-1207 (1977). MSC: 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Can. J. Math. 29, 1198--1207 (1977; Zbl 0343.33005) Full Text: DOI
Ismail, Mourad E. H.; Kelker, Douglas H. The Bessel polynomials and the Student \(t\) distribution. (English) Zbl 0332.60011 SIAM J. Math. Anal. 7, 82-91 (1976). MSC: 60E05 33C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{D. H. Kelker}, SIAM J. Math. Anal. 7, 82--91 (1976; Zbl 0332.60011) Full Text: DOI