Ismail, Mourad E. H.; Rahman, Mizan Diophantine properties of orthogonal polynomials and rational functions. (English) Zbl 1362.33012 Proc. Am. Math. Soc. 145, No. 6, 2427-2440 (2017). Reviewer: Peter Massopust (München) MSC: 33C45 33C20 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, Proc. Am. Math. Soc. 145, No. 6, 2427--2440 (2017; Zbl 1362.33012) Full Text: DOI
Grünbaum, F. Alberto; Rahman, Mizan A system of multivariable Krawtchouk polynomials and a probabilistic application. (English) Zbl 1244.33003 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 119, 17 p. (2011). MSC: 33C45 22E46 60J35 60J05 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{M. Rahman}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 119, 17 p. (2011; Zbl 1244.33003) Full Text: DOI arXiv
Rahman, Mizan A continuous extension of a \(q\)-analogue of the \(9\)-\(j\) symbols and its orthogonality. (English) Zbl 1216.33041 Adv. Appl. Math. 46, No. 1-4, 467-480 (2011). MSC: 33D45 33D50 PDFBibTeX XMLCite \textit{M. Rahman}, Adv. Appl. Math. 46, No. 1--4, 467--480 (2011; Zbl 1216.33041) Full Text: DOI
Rahman, Mizan An explicit polynomial expression for a \(q\)-analogue of the 9-\(j\) symbols. (English) Zbl 1211.33018 Can. J. Math. 63, No. 1, 200-221 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 33D50 PDFBibTeX XMLCite \textit{M. Rahman}, Can. J. Math. 63, No. 1, 200--221 (2011; Zbl 1211.33018) Full Text: DOI
Grünbaum, F. Alberto; Rahman, Mizan On a family of 2-variable orthogonal Krawtchouk polynomials. (English) Zbl 1220.33008 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 090, 12 p. (2010). MSC: 33C45 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{M. Rahman}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 090, 12 p. (2010; Zbl 1220.33008) Full Text: DOI arXiv EuDML
Rahman, Mizan A \(q\)-analogue of the 9-\(j\) symbols and their orthogonality. (English) Zbl 1181.33016 J. Approx. Theory 161, No. 1, 239-258 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D45 33D50 PDFBibTeX XMLCite \textit{M. Rahman}, J. Approx. Theory 161, No. 1, 239--258 (2009; Zbl 1181.33016) Full Text: DOI
Hoare, Michael R.; Rahman, Mizan A probabilistic origin for a new class of bivariate polynomials. (A probablistic origin for a new class of bivariate polynomials.) (English) Zbl 1163.33308 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 089, 18 p. (2008). MSC: 33C45 60J05 PDFBibTeX XMLCite \textit{M. R. Hoare} and \textit{M. Rahman}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 089, 18 p. (2008; Zbl 1163.33308) Full Text: DOI arXiv EuDML
Gasper, George; Rahman, Mizan Some systems of multivariable orthogonal \(q\)-Racah polynomials. (English) Zbl 1121.33019 Ramanujan J. 13, No. 1-3, 389-405 (2007). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 33D50 33D45 33D15 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, Ramanujan J. 13, No. 1--3, 389--405 (2007; Zbl 1121.33019) Full Text: DOI arXiv
Rahman, Mizan; Tariq, Q. M. Linearization formula for the product of associated \(q\)-ultraspherical polynomials. (English) Zbl 1137.33315 Ramanujan J. 12, No. 1, 77-89 (2006). MSC: 33D45 33D80 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{Q. M. Tariq}, Ramanujan J. 12, No. 1, 77--89 (2006; Zbl 1137.33315) Full Text: DOI
Gasper, George; Rahman, Mizan Some systems of multivariable orthogonal Askey-Wilson polynomials. (English) Zbl 1219.33027 Ismail, Mourad E. H. (ed.) et al., Theory and applications of special functions. A volume dedicated to Mizan Rahman. Papers from the special session of the American Mathematical Society annual meeting held in Baltimore, MD, USA, January 15–18, 2003. New York, NY: Springer (ISBN 0-387-24231-7). Developments in Mathematics 13, 209-219 (2005). MSC: 33D70 33D45 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, Dev. Math. 13, 209--219 (2005; Zbl 1219.33027) Full Text: DOI arXiv
Gasper, George; Rahman, Mizan \(q\)-analogues of some multivariable biorthogonal polynomials. (English) Zbl 1219.33023 Ismail, Mourad E. H. (ed.) et al., Theory and applications of special functions. A volume dedicated to Mizan Rahman. Papers from the special session of the American Mathematical Society annual meeting held in Baltimore, MD, USA, January 15–18, 2003. New York, NY: Springer (ISBN 0-387-24231-7). Developments in Mathematics 13, 185-208 (2005). MSC: 33D45 33D70 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, Dev. Math. 13, 185--208 (2005; Zbl 1219.33023) Full Text: DOI arXiv
Gasper, George; Rahman, Mizan Basic hypergeometric series. 2nd ed. (English) Zbl 1129.33005 Encyclopedia of Mathematics and Its Applications 96. Cambridge: Cambridge University Press (ISBN 0-521-83357-4/hbk). xxvi, 428 p. (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 33Dxx 33-01 33-02 05A30 05E35 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, Basic hypergeometric series. 2nd ed. Cambridge: Cambridge University Press (2004; Zbl 1129.33005)
Ismail, Mourad E. H.; Rahman, Mizan An inverse to the Askey-Wilson operator. (English) Zbl 1069.33017 Rocky Mt. J. Math. 32, No. 2, 657-678 (2002). MSC: 33D15 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, Rocky Mt. J. Math. 32, No. 2, 657--678 (2002; Zbl 1069.33017) Full Text: DOI Link
Ismail, Mourad E. H.; Rahman, Mizan Inverse operators, \(q\)-fractional integrals, and \(q\)-Bernoulli polynomials. (English) Zbl 0997.33008 J. Approximation Theory 114, No. 2, 269-307 (2002). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D45 05A30 26A33 39A13 33D15 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, J. Approx. Theory 114, No. 2, 269--307 (2002; Zbl 0997.33008) Full Text: DOI
Rahman, Mizan The associated classical orthogonal polynomials. (English) Zbl 0995.33001 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 255-279 (2001). Reviewer: Per W.Karlsson (Lyngby) MSC: 33-02 33C45 42C05 33D45 PDFBibTeX XMLCite \textit{M. Rahman}, NATO Sci. Ser. II, Math. Phys. Chem. 30, 255--279 (2001; Zbl 0995.33001)
Rahman, Mizan A \(q\)-analogue of a product formula of Bailey and related results. (English) Zbl 1189.33032 Dunkl, Charles (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 (ISBN 981-02-4393-6/hbk). 262-281 (2000). MSC: 33D45 PDFBibTeX XMLCite \textit{M. Rahman}, in: 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. 262--281 (2000; Zbl 1189.33032) Full Text: DOI
Rahman, Mizan A \(q\)-analogue of Weber-Schafheitlin integral of Bessel functions. (English) Zbl 0973.33007 Ramanujan J. 4, No. 3, 251-265 (2000). Reviewer: Roelof Koekoek (Delft) MSC: 33D15 33D45 PDFBibTeX XMLCite \textit{M. Rahman}, Ramanujan J. 4, No. 3, 251--265 (2000; Zbl 0973.33007) Full Text: DOI
Rahman, Mizan A \(q\)-extension of a product formula of Watson. (English) Zbl 1060.33024 Quaest. Math. 22, No. 1, 27-42 (1999). Reviewer: K. M. Saksena (Kanpur) MSC: 33D45 33D15 PDFBibTeX XMLCite \textit{M. Rahman}, Quaest. Math. 22, No. 1, 27--42 (1999; Zbl 1060.33024) Full Text: DOI
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
Rahman, Mizan; Tariq, Qazi M. Addition formulas for \(q\)-Legendre-type functions. (English) Zbl 0949.33014 Methods Appl. Anal. 6, No. 1, 3-20 (1999). Reviewer: R.P.Agarwal (Lucknow) MSC: 33D80 33D45 33D15 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{Q. M. Tariq}, Methods Appl. Anal. 6, No. 1, 3--20 (1999; Zbl 0949.33014) Full Text: DOI
Ismail, Mourad E. H.; Rahman, Mizan The \(q\)-Laguerre polynomials and related moment problems. (English) Zbl 0893.33009 J. Math. Anal. Appl. 218, No. 1, 155-174 (1998). Reviewer: D.M.Bressoud (St.Paul) MSC: 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, J. Math. Anal. Appl. 218, No. 1, 155--174 (1998; Zbl 0893.33009) Full Text: DOI
Rahman, Mizan; Tariq, Qazi M. A projection formula and a reproducing kernel for the associated Askey-Wilson polynomials. (English) Zbl 0889.33009 Int. J. Math. Stat. Sci. 6, No. 2, 141-160 (1997). MSC: 33D45 33D15 33C45 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{Q. M. Tariq}, Int. J. Math. Stat. Sci. 6, No. 2, 141--160 (1997; Zbl 0889.33009)
Rahman, Mizan; Tariq, Qazi M. Poisson kernel for the associated continuous \(q\)-ultraspherical polynomials. (English) Zbl 0890.33009 Methods Appl. Anal. 4, No. 1, 77-90 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{Q. M. Tariq}, Methods Appl. Anal. 4, No. 1, 77--90 (1997; Zbl 0890.33009) Full Text: DOI
Rahman, Mizan; Suslov, Sergej K. Singular analogue of the Fourier transformation for the Askey-Wilson polynomials. (English) Zbl 0856.33006 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 289-302 (1996). MSC: 33C45 42A38 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{S. K. Suslov}, in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 289--302 (1996; Zbl 0856.33006)
Ismail, Mourad E. H.; Rahman, Mizan Ladder operators for Szegö polynomials and related biorthogonal rational functions. (English) Zbl 0864.33014 Proc. Am. Math. Soc. 124, No. 7, 2149-2159 (1996). Reviewer: A.K.Agarwal (Grambling) MSC: 33D45 30E05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, Proc. Am. Math. Soc. 124, No. 7, 2149--2159 (1996; Zbl 0864.33014) Full Text: DOI arXiv
Rahman, Mizan Some generating functions for the associated Askey-Wilson polynomials. (English) Zbl 0861.33015 J. Comput. Appl. Math. 68, No. 1-2, 287-296 (1996). Reviewer: P.W.Karlsson (Virum) MSC: 33D45 33D60 PDFBibTeX XMLCite \textit{M. Rahman}, J. Comput. Appl. Math. 68, No. 1--2, 287--296 (1996; Zbl 0861.33015) Full Text: DOI
Ismail, Mourad E. H.; Rahman, Mizan; Zhang, Ruiming Diagonalization of certain integral operators. II. (English) Zbl 0868.33015 J. Comput. Appl. Math. 68, No. 1-2, 163-196 (1996). Reviewer: D.M.Bressoud (St.Paul) MSC: 33D45 42C10 45C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., J. Comput. Appl. Math. 68, No. 1--2, 163--196 (1996; Zbl 0868.33015) Full Text: DOI arXiv
Askey, Richard A.; Rahman, Mizan; Suslov, Sergej K. On a general \(q\)-Fourier transformation with nonsymmetric kernels. (English) Zbl 0871.33008 J. Comput. Appl. Math. 68, No. 1-2, 25-55 (1996). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 42A38 PDFBibTeX XMLCite \textit{R. A. Askey} et al., J. Comput. Appl. Math. 68, No. 1--2, 25--55 (1996; Zbl 0871.33008) Full Text: DOI arXiv
Ismail, Mourad E. H.; Rahman, Mizan Some basic bilateral sums and integrals. (English) Zbl 0905.33010 Pac. J. Math. 170, No. 2, 497-515 (1995). MSC: 33D05 33D20 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, Pac. J. Math. 170, No. 2, 497--515 (1995; Zbl 0905.33010) Full Text: DOI arXiv Link
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K. On classical orthogonal polynomials. (English) Zbl 0837.33010 Constr. Approx. 11, No. 2, 181-226 (1995). MSC: 33D15 33D45 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Constr. Approx. 11, No. 2, 181--226 (1995; Zbl 0837.33010) Full Text: DOI
Rahman, Mizan; Suslov, S. K. Classical biorthogonal rational functions. (English) Zbl 0789.33005 Gonchar, A. A. (ed.) et al., Methods of approximation theory in complex analysis and mathematical physics. Selected papers of international seminars on “Methods of approximation theory in complex analysis and mathematical physics” held in Leningrad, Russia, May 13-26, 1991. Berlin: Springer-Verlag. Lect. Notes Math. 1550, 131-146 (1993). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{S. K. Suslov}, Lect. Notes Math. 1550, 131--146 (1993; Zbl 0789.33005)
Rahman, Mizan; Verma, Arun Quadratic transformation formulas for basic hypergeometric series. (English) Zbl 0767.33011 Trans. Am. Math. Soc. 335, No. 1, 277-302 (1993). Reviewer: T.Sasaki MSC: 33D05 33D45 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, Trans. Am. Math. Soc. 335, No. 1, 277--302 (1993; Zbl 0767.33011) Full Text: DOI
Ismail, Mourad E. H.; Masson, David R.; Rahman, Mizan Complex weight functions for classical orthogonal polynomials. (English) Zbl 0752.33003 Can. J. Math. 43, No. 6, 1294-1308 (1991). Reviewer: R.P.Agarwal (Lucknow) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Can. J. Math. 43, No. 6, 1294--1308 (1991; Zbl 0752.33003) Full Text: DOI
Rahman, Mizan; Verma, Arun Positivity of the Poisson kernel for the Askey-Wilson polynomials. (English) Zbl 0793.33015 Indian J. Math. 33, No. 3, 287-306 (1991). Reviewer: R.Askey (Madison) MSC: 33D45 42C10 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, Indian J. Math. 33, No. 3, 287--306 (1991; Zbl 0793.33015)
Ismail, Mourad E. H.; Rahman, Mizan The associated Askey-Wilson polynomials. (English) Zbl 0738.33011 Trans. Am. Math. Soc. 328, No. 1, 201-237 (1991). Reviewer: W.Van Assche (Heverlee) MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. Rahman}, Trans. Am. Math. Soc. 328, No. 1, 201--237 (1991; Zbl 0738.33011) Full Text: DOI
Rahman, Mizan Biorthogonality of a system of rational functions with respect to positive measure on \([-1,1]\). (English) Zbl 0735.33013 SIAM J. Math. Anal. 22, No. 5, 1430-1441 (1991). Reviewer: A.N.Srivastava (Pune) MSC: 33D20 33C45 33D60 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 22, No. 5, 1430--1441 (1991; Zbl 0735.33013) Full Text: DOI
Rahman, Mizan Some extensions of the beta integral and the hypergeometric function. (English) Zbl 0703.33009 Orthogonal polynomials: theory and practice, Proc. NATO ASI, Colombus/OH (USA) 1989, NATO ASI Ser., Ser. C 294, 319-344 (1990). Reviewer: R.Askey MSC: 33D20 33D45 33D05 PDFBibTeX XML
Gasper, George; Rahman, Mizan Basic hypergeometric series. (English) Zbl 0695.33001 Encyclopedia of Mathematics and Its Applications, 35. Cambridge etc.: Cambridge University Press. xx, 287 p. £35.00; $ 59.50 (1990). Reviewer: Ram Kishore Saxena (Jodhpur, India) MSC: 33Dxx 33-01 33-02 05A30 05E35 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, Basic hypergeometric series. Cambridge etc.: Cambridge University Press (1990; Zbl 0695.33001)
Rahman, Mizan A note on the orthogonality of Jackson’s q-Bessel functions. (English) Zbl 0683.33009 Can. Math. Bull. 32, No. 3, 369-376 (1989). Reviewer: H.Exton MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Can. Math. Bull. 32, No. 3, 369--376 (1989; Zbl 0683.33009) Full Text: DOI
Rahman, Mizan A simple proof of Koornwinder’s addition formula for the little q- Legendre polynomials. (English) Zbl 0678.33008 Proc. Am. Math. Soc. 107, No. 2, 373-381 (1989). Reviewer: P.W.Karlsson MSC: 33C45 05A30 PDFBibTeX XMLCite \textit{M. Rahman}, Proc. Am. Math. Soc. 107, No. 2, 373--381 (1989; Zbl 0678.33008) Full Text: DOI
Rahman, Mizan Some extensions of Askey-Wilson’s q-beta integral and the corresponding orthogonal systems. (English) Zbl 0673.33001 Can. Math. Bull. 31, No. 4, 467-476 (1988). Reviewer: R.Askey MSC: 33B15 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Can. Math. Bull. 31, No. 4, 467--476 (1988; Zbl 0673.33001) Full Text: DOI
Rahman, Mizan A projection formula for the Askey-Wilson polynomials and an application. (English) Zbl 0653.33007 Proc. Am. Math. Soc. 103, No. 4, 1099-1107 (1988). Reviewer: R.Askey MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Proc. Am. Math. Soc. 103, No. 4, 1099--1107 (1988; Zbl 0653.33007) Full Text: DOI
Rahman, Mizan; Verma, Arun Infinite sums of products of continuous q-ultraspherical functions. (English) Zbl 0622.33001 Rocky Mt. J. Math. 17, 371-384 (1987). Reviewer: H.Exton MSC: 33C05 33C55 33C45 05A30 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, Rocky Mt. J. Math. 17, 371--384 (1987; Zbl 0622.33001) Full Text: DOI
Rahman, Mizan; Verma, Arun Product and addition formulas for the continuous q-ultraspherical polynomials. (English) Zbl 0599.33017 SIAM J. Math. Anal. 17, 1461-1474 (1986). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, SIAM J. Math. Anal. 17, 1461--1474 (1986; Zbl 0599.33017) Full Text: DOI
Gasper, George; Rahman, Mizan Positivity of the Poisson kernel for the continuous q-Jacobi polynomials and some quadratic transformation formulas for basic hypergeometric series. (English) Zbl 0599.33016 SIAM J. Math. Anal. 17, 970-999 (1986). MSC: 33D45 33E99 33D05 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, SIAM J. Math. Anal. 17, 970--999 (1986; Zbl 0599.33016) Full Text: DOI
Rahman, Mizan An integral representation of a \(_{10}\Phi _ 9\) and continuous bi- orthogonal \(_{10}\Phi _ 9\) rational functions. (English) Zbl 0599.33015 Can. J. Math. 38, 605-618 (1986). Reviewer: H.Exton MSC: 33D45 33C05 PDFBibTeX XMLCite \textit{M. Rahman}, Can. J. Math. 38, 605--618 (1986; Zbl 0599.33015) Full Text: DOI
Rahman, Mizan Another conjectured q-Selberg integral. (English) Zbl 0599.33005 SIAM J. Math. Anal. 17, 1267-1279 (1986). MSC: 33D05 33D45 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 17, 1267--1279 (1986; Zbl 0599.33005) Full Text: DOI
Rahman, Mizan q-Wilson functions of the second kind. (English) Zbl 0599.33004 SIAM J. Math. Anal. 17, 1280-1286 (1986). MSC: 33D05 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 17, 1280--1286 (1986; Zbl 0599.33004) Full Text: DOI
Rahman, Mizan A product formula for the continuous q-Jacobi polynomials. (English) Zbl 0589.33009 J. Math. Anal. Appl. 118, 309-322 (1986). Reviewer: H.Exton MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, J. Math. Anal. Appl. 118, 309--322 (1986; Zbl 0589.33009) Full Text: DOI
Rahman, Mizan; Verma, Arun A q-integral representation of Rogers’ q-ultraspherical polynomials and some applications. (English) Zbl 0586.33009 Constructive Approximation 2, 1-10 (1986). Reviewer: R.Askey MSC: 33C45 41A60 33C05 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, Constr. Approx. 2, 1--10 (1986; Zbl 0586.33009) Full Text: DOI
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan An intergral of products of ultraspherical functions and a q-extension. (English) Zbl 0564.33008 J. Lond. Math. Soc., II. Ser. 33, 133-148 (1986). MSC: 33C45 33C05 42C10 PDFBibTeX XMLCite \textit{R. Askey} et al., J. Lond. Math. Soc., II. Ser. 33, 133--148 (1986; Zbl 0564.33008) Full Text: DOI
Rahman, Mizan; Shah, Mihr J. An infinite series with products of Jacobi polynomials and Jacobi functions of the second kind. (English) Zbl 0579.33003 SIAM J. Math. Anal. 16, 859-875 (1985). Reviewer: R.Askey MSC: 33C55 33C45 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{M. J. Shah}, SIAM J. Math. Anal. 16, 859--875 (1985; Zbl 0579.33003) Full Text: DOI
Nassrallah, B.; Rahman, Mizan Projection formulas, a reproducing kernel and a generating function for q-Wilson polynomials. (English) Zbl 0564.33009 SIAM J. Math. Anal. 16, 186-197 (1985). Reviewer: R.Askey MSC: 33C45 33C05 42C10 PDFBibTeX XMLCite \textit{B. Nassrallah} and \textit{M. Rahman}, SIAM J. Math. Anal. 16, 186--197 (1985; Zbl 0564.33009) Full Text: DOI
Rahman, Mizan A q-extension of Feldheim’s bilinear sum for Jacobi polynomials and some applications. (English) Zbl 0552.33003 Can. J. Math. 37, 551-576 (1985). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Can. J. Math. 37, 551--576 (1985; Zbl 0552.33003) Full Text: DOI
Gasper, George; Rahman, Mizan Product formulas of Watson, Bailey and Bateman types and positivity of the Poisson kernel for q-Racah polynomials. (English) Zbl 0545.33013 SIAM J. Math. Anal. 15, 768-789 (1984). MSC: 33D45 33E99 42C15 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, SIAM J. Math. Anal. 15, 768--789 (1984; Zbl 0545.33013) Full Text: DOI
Rahman, Mizan A simple evaluation of Askey and Wilson’s q-beta integral. (English) Zbl 0517.33001 Proc. Am. Math. Soc. 92, 413-417 (1984). MSC: 33B15 33C45 42C05 PDFBibTeX XMLCite \textit{M. Rahman}, Proc. Am. Math. Soc. 92, 413--417 (1984; Zbl 0517.33001) Full Text: DOI
Gasper, George; Rahman, Mizan Nonnegative kernels in product formulas for q-Racah polynomials. I. (English) Zbl 0518.33006 J. Math. Anal. Appl. 95, 304-318 (1983). MSC: 33D45 33D05 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, J. Math. Anal. Appl. 95, 304--318 (1983; Zbl 0518.33006) Full Text: DOI
Gasper, George; Rahman, Mizan Positivity of the Poisson kernel for the continuous q-ultraspherical polynomials. (English) Zbl 0516.33009 SIAM J. Math. Anal. 14, 409-420 (1983). MSC: 33C45 42C10 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, SIAM J. Math. Anal. 14, 409--420 (1983; Zbl 0516.33009) Full Text: DOI
Rahman, Mizan Reproducing kernels and bilinear sums for q-Racah and q-Wilson polynomials. (English) Zbl 0492.33011 Trans. Am. Math. Soc. 273, 483-508 (1982). MSC: 33C45 33C05 33E99 PDFBibTeX XMLCite \textit{M. Rahman}, Trans. Am. Math. Soc. 273, 483--508 (1982; Zbl 0492.33011) Full Text: DOI
Rahman, Mizan Discrete orthogonal systems corresponding to Dirichlet distribution. (English) Zbl 0477.33007 Util. Math. 20, 261-272 (1981). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Util. Math. 20, 261--272 (1981; Zbl 0477.33007)
Rahman, Mizan Families of biorthogonal rational functions in a discrete variable. (English) Zbl 0459.33006 SIAM J. Math. Anal. 12, 355-367 (1981). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 12, 355--367 (1981; Zbl 0459.33006) Full Text: DOI
Rahman, Mizan A stochastic matrix and bilinear sums for Racah-Wilson polynomials. (English) Zbl 0459.33005 SIAM J. Math. Anal. 12, 145-160 (1981). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 12, 145--160 (1981; Zbl 0459.33005) Full Text: DOI
Rahman, Mizan The linearization of the product of continuous q-Jacobi polynomials. (English) Zbl 0442.33003 Can. J. Math. 33, 961-987 (1981). MSC: 33C05 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Can. J. Math. 33, 961--987 (1981; Zbl 0442.33003) Full Text: DOI
Rahman, Mizan A non-negative representation of the linearization coefficients of the product of Jacobi polynomials. (English) Zbl 0423.33003 Can. J. Math. 33, 915-928 (1981). MSC: 33C45 33C05 42C05 PDFBibTeX XMLCite \textit{M. Rahman}, Can. J. Math. 33, 915--928 (1981; Zbl 0423.33003) Full Text: DOI
Rahman, Mizan An elementary proof of Dunkl’s addition theorem for Krawtchouk polynomials. (English) Zbl 0414.33007 SIAM J. Math. Anal. 10, 438-445 (1979). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 10, 438--445 (1979; Zbl 0414.33007) Full Text: DOI
Rahman, Mizan A positive kernel for Hahn-Eberlein polynomials. (English) Zbl 0394.33008 SIAM J. Math. Anal. 9, 891-905 (1978). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 9, 891--905 (1978; Zbl 0394.33008) Full Text: DOI
Rahman, Mizan A generalization of Gasper’s kernel for Hahn polynomials: Application to Pollaczek polynomials. (English) Zbl 0365.33010 Can. J. Math. 30, 133-146 (1978). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Rahman}, Can. J. Math. 30, 133--146 (1978; Zbl 0365.33010) Full Text: DOI
Cooper, R. D.; Hoare, M. R.; Rahman, Mizan Stochastic processes and special functions: On the probabilistic origin of some positive kernels associate with classical orthogonal polynomials. (English) Zbl 0404.60097 J. Math. Anal. Appl. 61, 262-291 (1977). MSC: 60K35 60E05 60J25 33C45 PDFBibTeX XMLCite \textit{R. D. Cooper} et al., J. Math. Anal. Appl. 61, 262--291 (1977; Zbl 0404.60097) Full Text: DOI
Rahman, Mizan On a generalization of the Poisson kernel for Jacobi polynomials. (English) Zbl 0385.33007 SIAM J. Math. Anal. 8, 1014-1031 (1977). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 8, 1014--1031 (1977; Zbl 0385.33007) Full Text: DOI
Rahman, Mizan A generalization of Gasper’s kernel for Hahn polynomials: Application to Pollaczek polynomials. (English) Zbl 0347.33007 Can. J. Math. (to appear). MSC: 33C45 PDFBibTeX XML
Rahman, M. Some positive kernels and bilinear sums for Hahn polynomials. (English) Zbl 0337.33010 SIAM J. Math. Anal. 7, 414-435 (1976). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 7, 414--435 (1976; Zbl 0337.33010) Full Text: DOI
Rahman, M. A five-parameter family of positive kernels from Jacobi polynomials. (English) Zbl 0337.33009 SIAM J. Math. Anal. 7, 386-413 (1976). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 7, 386--413 (1976; Zbl 0337.33009) Full Text: DOI
Rahman, M. Construction of a family of positive kernels from Jacobi polynomials. (English) Zbl 0337.33008 SIAM J. Math. Anal. 7, 92-116 (1976). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{M. Rahman}, SIAM J. Math. Anal. 7, 92--116 (1976; Zbl 0337.33008) Full Text: DOI