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Rahman, Mizan

Compute Distance To:
 Author ID: rahman.mizan Published as: Rahman, M.; Rahman, Mizan; Rahmann, Mizan External Links: MGP · Wikidata · GND
 Documents Indexed: 110 Publications since 1970, including 4 Books Biographic References: 1 Publication
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Co-Authors

 45 single-authored 14 Ismail, Mourad El-Houssieny 11 Gasper, George Jun 10 Suslov, Sergei K. 6 Hoare, Michael R. 5 Verma, Arun 4 Tariq, Qazi M. 3 Nassrallah, Bassam 2 Ahsanullah, Mohammad 2 Askey, Richard Allen 2 Grünbaum, Francisco Alberto 2 Masson, David R. 2 Saleh, A. K. Md. Ehsanes 2 Shah, Mihr J. 1 Atakishiev, Natig M. 1 Cooper, R. D. 1 Gao, Zhicheng 1 Koornwinder, Tom H. 1 Li, Xin 1 Pandey, Jagdish N. 1 Raval, S. 1 Stanton, Dennis W. 1 Zhang, Ruiming
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Serials

 21 SIAM Journal on Mathematical Analysis 12 Canadian Journal of Mathematics 7 Journal of Mathematical Analysis and Applications 6 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Methods and Applications of Analysis 4 The Ramanujan Journal 3 Rocky Mountain Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Journal of Computational and Applied Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Approximation Theory 2 Pacific Journal of Mathematics 2 Utilitas Mathematica 2 Constructive Approximation 2 Journal of the Royal Statistical Society. Series B 2 Encyclopedia of Mathematics and Its Applications 1 Journal of Mathematical Physics 1 Ganita 1 Indian Journal of Mathematics 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Statistical Planning and Inference 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Quaestiones Mathematicae 1 Advances in Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 International Journal of Mathematical and Statistical Sciences 1 Annals of Combinatorics 1 Analysis and Applications (Singapore) 1 Fields Institute Communications
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Fields

 97 Special functions (33-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 7 Combinatorics (05-XX) 7 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH

82 Publications have been cited 2,175 times in 1,756 Documents Cited by Year
Basic hypergeometric series. Zbl 0695.33001
Gasper, George; Rahman, Mizan
1990
Basic hypergeometric series. 2nd ed. Zbl 1129.33005
Gasper, George; Rahman, Mizan
2004
On classical orthogonal polynomials. Zbl 0837.33010
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K.
1995
The associated Askey-Wilson polynomials. Zbl 0738.33011
Ismail, Mourad E. H.; Rahman, Mizan
1991
Some systems of multivariable orthogonal $$q$$-Racah polynomials. Zbl 1121.33019
Gasper, George; Rahman, Mizan
2007
An indefinite bibasic summation formula and some quadratic, cubic and quartic summation and transformation formulas. Zbl 0707.33009
Gasper, George; Rahman, Mizan
1990
Projection formulas, a reproducing kernel and a generating function for q-Wilson polynomials. Zbl 0564.33009
Nassrallah, B.; Rahman, Mizan
1985
An integral representation of a $$_{10}\Phi _ 9$$ and continuous bi- orthogonal $$_{10}\Phi _ 9$$ rational functions. Zbl 0599.33015
Rahman, Mizan
1986
A non-negative representation of the linearization coefficients of the product of Jacobi polynomials. Zbl 0423.33003
Rahman, Mizan
1981
On a general $$q$$-Fourier transformation with nonsymmetric kernels. Zbl 0871.33008
Askey, Richard A.; Rahman, Mizan; Suslov, Sergej K.
1996
Some quadratic and cubic summation formulas for basic hypergeometric series. Zbl 0774.33012
Rahman, Mizan
1993
The $$q$$-Laguerre polynomials and related moment problems. Zbl 0893.33009
Ismail, Mourad E. H.; Rahman, Mizan
1998
The Pearson equation and the beta integrals. Zbl 0808.33002
Rahman, Mizan; Suslov, Sergei K.
1994
Product and addition formulas for the continuous q-ultraspherical polynomials. Zbl 0599.33017
Rahman, Mizan; Verma, Arun
1986
A simple evaluation of Askey and Wilson’s q-beta integral. Zbl 0517.33001
Rahman, Mizan
1984
A probabilistic origin for a new class of bivariate polynomials. Zbl 1163.33308
Hoare, Michael R.; Rahman, Mizan
2008
Diagonalization of certain integral operators. II. Zbl 0868.33015
Ismail, Mourad E. H.; Rahman, Mizan; Zhang, Ruiming
1996
Barnes and Ramanujan-type integrals on the $$q$$-linear lattice. Zbl 0809.33007
Rahman, Mizan; Suslov, Sergej K.
1994
Quadratic $$q$$-exponentials and connection coefficient problems. Zbl 0934.33025
Ismail, Mourad E. H.; Rahman, Mizan; Stanton, Dennis
1999
Classical biorthogonal rational functions. Zbl 0789.33005
Rahman, Mizan; Suslov, S. K.
1993
Positivity of the Poisson kernel for the continuous q-Jacobi polynomials and some quadratic transformation formulas for basic hypergeometric series. Zbl 0599.33016
Gasper, George; Rahman, Mizan
1986
The linearization of the product of continuous q-Jacobi polynomials. Zbl 0442.33003
Rahman, Mizan
1981
Connection relations and expansions. Zbl 1235.05020
Ismail, Mourad E. H.; Rahman, Mizan
2011
Some systems of multivariable orthogonal Askey-Wilson polynomials. Zbl 1219.33027
Gasper, George; Rahman, Mizan
2005
Cumulative Bernoulli trials and Krawtchouk processes. Zbl 0534.60060
Hoare, M. R.; Rahman, Mizan
1984
Inverse operators, $$q$$-fractional integrals, and $$q$$-Bernoulli polynomials. Zbl 0997.33008
Ismail, Mourad E. H.; Rahman, Mizan
2002
Askey-Wilson functions of the first and second kind: Series and integral representations of $$C^ 2_ n(x ;\beta{}|{}q)+D^ 2_ n(x ;\beta{}|{}q)$$. Zbl 0765.33012
Rahman, Mizan
1992
q-Wilson functions of the second kind. Zbl 0599.33004
Rahman, Mizan
1986
A system of multivariable Krawtchouk polynomials and a probabilistic application. Zbl 1244.33003
Grünbaum, F. Alberto; Rahman, Mizan
2011
Some basic bilateral sums and integrals. Zbl 0905.33010
Ismail, Mourad E. H.; Rahman, Mizan
1995
An addition theorem and some product formulas for q-Bessel functions. Zbl 0649.33003
Rahman, Mizan
1988
On a family of 2-variable orthogonal Krawtchouk polynomials. Zbl 1220.33008
Grünbaum, F. Alberto; Rahman, Mizan
2010
Some summation theorems and transformations for $$q$$-series. Zbl 0877.33011
Ismail, Mourad E. H.; Rahman, Mizan; Suslov, Sergei K.
1997
Quadratic transformation formulas for basic hypergeometric series. Zbl 0767.33011
Rahman, Mizan; Verma, Arun
1993
An intergral of products of ultraspherical functions and a q-extension. Zbl 0564.33008
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan
1986
On a generalization of the Poisson kernel for Jacobi polynomials. Zbl 0385.33007
Rahman, Mizan
1977
Diophantine properties of orthogonal polynomials and rational functions. Zbl 1362.33012
Ismail, Mourad E. H.; Rahman, Mizan
2017
Complex weight functions for classical orthogonal polynomials. Zbl 0752.33003
Ismail, Mourad E. H.; Masson, David R.; Rahman, Mizan
1991
Biorthogonality of a system of rational functions with respect to positive measure on $$[-1,1]$$. Zbl 0735.33013
Rahman, Mizan
1991
Sums of products of ultraspherical functions. Zbl 0587.33005
Rahman, Mizan; Shah, Mihr J.
1985
On the q-analogues of some transformations of nearly-poised hypergeometric series. Zbl 0469.33004
Nassrallah, B.; Rahman, Mizan
1981
A generalization of Gasper’s kernel for Hahn polynomials: Application to Pollaczek polynomials. Zbl 0365.33010
Rahman, Mizan
1978
Stochastic processes and special functions: On the probabilistic origin of some positive kernels associate with classical orthogonal polynomials. Zbl 0404.60097
Cooper, R. D.; Hoare, M. R.; Rahman, Mizan
1977
An inverse to the Askey-Wilson operator. Zbl 1069.33017
Ismail, Mourad E. H.; Rahman, Mizan
2002
Some generating functions for the associated Askey-Wilson polynomials. Zbl 0861.33015
Rahman, Mizan
1996
Some extensions of Askey-Wilson’s q-beta integral and the corresponding orthogonal systems. Zbl 0673.33001
Rahman, Mizan
1988
An integral representation and some transformation properties of q-Bessel functions. Zbl 0634.33013
Rahman, Mizan
1987
A product formula for the continuous q-Jacobi polynomials. Zbl 0589.33009
Rahman, Mizan
1986
A q-extension of Feldheim’s bilinear sum for Jacobi polynomials and some applications. Zbl 0552.33003
Rahman, Mizan
1985
Product formulas of Watson, Bailey and Bateman types and positivity of the Poisson kernel for q-Racah polynomials. Zbl 0545.33013
Gasper, George; Rahman, Mizan
1984
Positivity of the Poisson kernel for the continuous q-ultraspherical polynomials. Zbl 0516.33009
Gasper, George; Rahman, Mizan
1983
Construction of a family of positive kernels from Jacobi polynomials. Zbl 0337.33008
Rahman, M.
1976
Singular analogue of the Fourier transformation for the Askey-Wilson polynomials. Zbl 0856.33006
Rahman, Mizan; Suslov, Sergej K.
1996
An integral representation of the very-well-poised $${}_ 8 \psi_ 8$$ series. Zbl 0863.33018
Rahman, Mizan
1996
Ladder operators for Szegö polynomials and related biorthogonal rational functions. Zbl 0864.33014
Ismail, Mourad E. H.; Rahman, Mizan
1996
Some cubic summation formulas for basic hypergeometric series. Zbl 0691.33002
Rahman, M.
1989
A q-analogue of Appell’s $$F_ 1$$ function and some quadratic transformation formulas for non-terminating basic hypergeometric series. Zbl 0594.33004
Nassrallah, B.; Rahman, Mizan
1986
A q-integral representation of Rogers’ q-ultraspherical polynomials and some applications. Zbl 0586.33009
Rahman, Mizan; Verma, Arun
1986
An infinite series with products of Jacobi polynomials and Jacobi functions of the second kind. Zbl 0579.33003
Rahman, Mizan; Shah, Mihr J.
1985
Families of biorthogonal rational functions in a discrete variable. Zbl 0459.33006
Rahman, Mizan
1981
Some positive kernels and bilinear sums for Hahn polynomials. Zbl 0337.33010
Rahman, M.
1976
A characterization of the exponential distribution. Zbl 0242.62007
Ahsanullah, M.; Rahman, M.
1972
$$q$$-analogues of some multivariable biorthogonal polynomials. Zbl 1219.33023
Gasper, George; Rahman, Mizan
2005
Enumeration of $$k$$-poles. Zbl 0927.05038
Gao, Zhicheng; Rahman, Mizan
1997
Some extensions of the beta integral and the hypergeometric function. Zbl 0703.33009
Rahman, Mizan
1990
A nonterminating q-Clausen formula and sofme related product formulas. Zbl 0675.33003
Gasper, George; Rahman, Mizan
1989
Reproducing kernels and bilinear sums for q-Racah and q-Wilson polynomials. Zbl 0492.33011
Rahman, Mizan
1982
A positive kernel for Hahn-Eberlein polynomials. Zbl 0394.33008
Rahman, Mizan
1978
Landau constants and their $$q$$-analogues. Zbl 1312.41041
Ismail, Mourad E. H.; Li, Xin; Rahman, M.
2015
A $$q$$-analogue of the 9-$$j$$ symbols and their orthogonality. Zbl 1181.33016
Rahman, Mizan
2009
The associated classical orthogonal polynomials. Zbl 0995.33001
Rahman, Mizan
2001
A projection formula and a reproducing kernel for the associated Askey-Wilson polynomials. Zbl 0889.33009
Rahman, Mizan; Tariq, Qazi M.
1997
Positivity of the Poisson kernel for the Askey-Wilson polynomials. Zbl 0793.33015
Rahman, Mizan; Verma, Arun
1991
A simple proof of Koornwinder’s addition formula for the little q- Legendre polynomials. Zbl 0678.33008
Rahman, Mizan
1989
A projection formula for the Askey-Wilson polynomials and an application. Zbl 0653.33007
Rahman, Mizan
1988
Another conjectured q-Selberg integral. Zbl 0599.33005
Rahman, Mizan
1986
Nonnegative kernels in product formulas for q-Racah polynomials. I. Zbl 0518.33006
Gasper, George; Rahman, Mizan
1983
The Rayleigh model: Singular transport theory in one dimension. Zbl 0494.45016
Hoare, M. R.; Raval, S.; Rahman, Mizan
1982
Cumulative Bernoulli trials and Krawtchouk processes. Zbl 0472.60061
Hoare, M. R.; Rahman, Mizan
1981
A five-parameter family of positive kernels from Jacobi polynomials. Zbl 0337.33009
Rahman, M.
1976
Explicit form of the distribution of the Behrens-Fisher d-statistic. Zbl 0282.62011
Rahman, M.; Saleh, A. K. Md. Ehsanes
1974
A singular inverse of a matrix by rank annihilation. Zbl 0269.65023
Ahsanullah, M.; Rahman, M.
1973
Diophantine properties of orthogonal polynomials and rational functions. Zbl 1362.33012
Ismail, Mourad E. H.; Rahman, Mizan
2017
Landau constants and their $$q$$-analogues. Zbl 1312.41041
Ismail, Mourad E. H.; Li, Xin; Rahman, M.
2015
Connection relations and expansions. Zbl 1235.05020
Ismail, Mourad E. H.; Rahman, Mizan
2011
A system of multivariable Krawtchouk polynomials and a probabilistic application. Zbl 1244.33003
Grünbaum, F. Alberto; Rahman, Mizan
2011
On a family of 2-variable orthogonal Krawtchouk polynomials. Zbl 1220.33008
Grünbaum, F. Alberto; Rahman, Mizan
2010
A $$q$$-analogue of the 9-$$j$$ symbols and their orthogonality. Zbl 1181.33016
Rahman, Mizan
2009
A probabilistic origin for a new class of bivariate polynomials. Zbl 1163.33308
Hoare, Michael R.; Rahman, Mizan
2008
Some systems of multivariable orthogonal $$q$$-Racah polynomials. Zbl 1121.33019
Gasper, George; Rahman, Mizan
2007
Some systems of multivariable orthogonal Askey-Wilson polynomials. Zbl 1219.33027
Gasper, George; Rahman, Mizan
2005
$$q$$-analogues of some multivariable biorthogonal polynomials. Zbl 1219.33023
Gasper, George; Rahman, Mizan
2005
Basic hypergeometric series. 2nd ed. Zbl 1129.33005
Gasper, George; Rahman, Mizan
2004
Inverse operators, $$q$$-fractional integrals, and $$q$$-Bernoulli polynomials. Zbl 0997.33008
Ismail, Mourad E. H.; Rahman, Mizan
2002
An inverse to the Askey-Wilson operator. Zbl 1069.33017
Ismail, Mourad E. H.; Rahman, Mizan
2002
The associated classical orthogonal polynomials. Zbl 0995.33001
Rahman, Mizan
2001
Quadratic $$q$$-exponentials and connection coefficient problems. Zbl 0934.33025
Ismail, Mourad E. H.; Rahman, Mizan; Stanton, Dennis
1999
The $$q$$-Laguerre polynomials and related moment problems. Zbl 0893.33009
Ismail, Mourad E. H.; Rahman, Mizan
1998
Some summation theorems and transformations for $$q$$-series. Zbl 0877.33011
Ismail, Mourad E. H.; Rahman, Mizan; Suslov, Sergei K.
1997
Enumeration of $$k$$-poles. Zbl 0927.05038
Gao, Zhicheng; Rahman, Mizan
1997
A projection formula and a reproducing kernel for the associated Askey-Wilson polynomials. Zbl 0889.33009
Rahman, Mizan; Tariq, Qazi M.
1997
On a general $$q$$-Fourier transformation with nonsymmetric kernels. Zbl 0871.33008
Askey, Richard A.; Rahman, Mizan; Suslov, Sergej K.
1996
Diagonalization of certain integral operators. II. Zbl 0868.33015
Ismail, Mourad E. H.; Rahman, Mizan; Zhang, Ruiming
1996
Some generating functions for the associated Askey-Wilson polynomials. Zbl 0861.33015
Rahman, Mizan
1996
Singular analogue of the Fourier transformation for the Askey-Wilson polynomials. Zbl 0856.33006
Rahman, Mizan; Suslov, Sergej K.
1996
An integral representation of the very-well-poised $${}_ 8 \psi_ 8$$ series. Zbl 0863.33018
Rahman, Mizan
1996
Ladder operators for Szegö polynomials and related biorthogonal rational functions. Zbl 0864.33014
Ismail, Mourad E. H.; Rahman, Mizan
1996
On classical orthogonal polynomials. Zbl 0837.33010
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K.
1995
Some basic bilateral sums and integrals. Zbl 0905.33010
Ismail, Mourad E. H.; Rahman, Mizan
1995
The Pearson equation and the beta integrals. Zbl 0808.33002
Rahman, Mizan; Suslov, Sergei K.
1994
Barnes and Ramanujan-type integrals on the $$q$$-linear lattice. Zbl 0809.33007
Rahman, Mizan; Suslov, Sergej K.
1994
Some quadratic and cubic summation formulas for basic hypergeometric series. Zbl 0774.33012
Rahman, Mizan
1993
Classical biorthogonal rational functions. Zbl 0789.33005
Rahman, Mizan; Suslov, S. K.
1993
Quadratic transformation formulas for basic hypergeometric series. Zbl 0767.33011
Rahman, Mizan; Verma, Arun
1993
Askey-Wilson functions of the first and second kind: Series and integral representations of $$C^ 2_ n(x ;\beta{}|{}q)+D^ 2_ n(x ;\beta{}|{}q)$$. Zbl 0765.33012
Rahman, Mizan
1992
The associated Askey-Wilson polynomials. Zbl 0738.33011
Ismail, Mourad E. H.; Rahman, Mizan
1991
Complex weight functions for classical orthogonal polynomials. Zbl 0752.33003
Ismail, Mourad E. H.; Masson, David R.; Rahman, Mizan
1991
Biorthogonality of a system of rational functions with respect to positive measure on $$[-1,1]$$. Zbl 0735.33013
Rahman, Mizan
1991
Positivity of the Poisson kernel for the Askey-Wilson polynomials. Zbl 0793.33015
Rahman, Mizan; Verma, Arun
1991
Basic hypergeometric series. Zbl 0695.33001
Gasper, George; Rahman, Mizan
1990
An indefinite bibasic summation formula and some quadratic, cubic and quartic summation and transformation formulas. Zbl 0707.33009
Gasper, George; Rahman, Mizan
1990
Some extensions of the beta integral and the hypergeometric function. Zbl 0703.33009
Rahman, Mizan
1990
Some cubic summation formulas for basic hypergeometric series. Zbl 0691.33002
Rahman, M.
1989
A nonterminating q-Clausen formula and sofme related product formulas. Zbl 0675.33003
Gasper, George; Rahman, Mizan
1989
A simple proof of Koornwinder’s addition formula for the little q- Legendre polynomials. Zbl 0678.33008
Rahman, Mizan
1989
An addition theorem and some product formulas for q-Bessel functions. Zbl 0649.33003
Rahman, Mizan
1988
Some extensions of Askey-Wilson’s q-beta integral and the corresponding orthogonal systems. Zbl 0673.33001
Rahman, Mizan
1988
A projection formula for the Askey-Wilson polynomials and an application. Zbl 0653.33007
Rahman, Mizan
1988
An integral representation and some transformation properties of q-Bessel functions. Zbl 0634.33013
Rahman, Mizan
1987
An integral representation of a $$_{10}\Phi _ 9$$ and continuous bi- orthogonal $$_{10}\Phi _ 9$$ rational functions. Zbl 0599.33015
Rahman, Mizan
1986
Product and addition formulas for the continuous q-ultraspherical polynomials. Zbl 0599.33017
Rahman, Mizan; Verma, Arun
1986
Positivity of the Poisson kernel for the continuous q-Jacobi polynomials and some quadratic transformation formulas for basic hypergeometric series. Zbl 0599.33016
Gasper, George; Rahman, Mizan
1986
q-Wilson functions of the second kind. Zbl 0599.33004
Rahman, Mizan
1986
An intergral of products of ultraspherical functions and a q-extension. Zbl 0564.33008
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan
1986
A product formula for the continuous q-Jacobi polynomials. Zbl 0589.33009
Rahman, Mizan
1986
A q-analogue of Appell’s $$F_ 1$$ function and some quadratic transformation formulas for non-terminating basic hypergeometric series. Zbl 0594.33004
Nassrallah, B.; Rahman, Mizan
1986
A q-integral representation of Rogers’ q-ultraspherical polynomials and some applications. Zbl 0586.33009
Rahman, Mizan; Verma, Arun
1986
Another conjectured q-Selberg integral. Zbl 0599.33005
Rahman, Mizan
1986
Projection formulas, a reproducing kernel and a generating function for q-Wilson polynomials. Zbl 0564.33009
Nassrallah, B.; Rahman, Mizan
1985
Sums of products of ultraspherical functions. Zbl 0587.33005
Rahman, Mizan; Shah, Mihr J.
1985
A q-extension of Feldheim’s bilinear sum for Jacobi polynomials and some applications. Zbl 0552.33003
Rahman, Mizan
1985
An infinite series with products of Jacobi polynomials and Jacobi functions of the second kind. Zbl 0579.33003
Rahman, Mizan; Shah, Mihr J.
1985
A simple evaluation of Askey and Wilson’s q-beta integral. Zbl 0517.33001
Rahman, Mizan
1984
Cumulative Bernoulli trials and Krawtchouk processes. Zbl 0534.60060
Hoare, M. R.; Rahman, Mizan
1984
Product formulas of Watson, Bailey and Bateman types and positivity of the Poisson kernel for q-Racah polynomials. Zbl 0545.33013
Gasper, George; Rahman, Mizan
1984
Positivity of the Poisson kernel for the continuous q-ultraspherical polynomials. Zbl 0516.33009
Gasper, George; Rahman, Mizan
1983
Nonnegative kernels in product formulas for q-Racah polynomials. I. Zbl 0518.33006
Gasper, George; Rahman, Mizan
1983
Reproducing kernels and bilinear sums for q-Racah and q-Wilson polynomials. Zbl 0492.33011
Rahman, Mizan
1982
The Rayleigh model: Singular transport theory in one dimension. Zbl 0494.45016
Hoare, M. R.; Raval, S.; Rahman, Mizan
1982
A non-negative representation of the linearization coefficients of the product of Jacobi polynomials. Zbl 0423.33003
Rahman, Mizan
1981
The linearization of the product of continuous q-Jacobi polynomials. Zbl 0442.33003
Rahman, Mizan
1981
On the q-analogues of some transformations of nearly-poised hypergeometric series. Zbl 0469.33004
Nassrallah, B.; Rahman, Mizan
1981
Families of biorthogonal rational functions in a discrete variable. Zbl 0459.33006
Rahman, Mizan
1981
Cumulative Bernoulli trials and Krawtchouk processes. Zbl 0472.60061
Hoare, M. R.; Rahman, Mizan
1981
A generalization of Gasper’s kernel for Hahn polynomials: Application to Pollaczek polynomials. Zbl 0365.33010
Rahman, Mizan
1978
A positive kernel for Hahn-Eberlein polynomials. Zbl 0394.33008
Rahman, Mizan
1978
On a generalization of the Poisson kernel for Jacobi polynomials. Zbl 0385.33007
Rahman, Mizan
1977
Stochastic processes and special functions: On the probabilistic origin of some positive kernels associate with classical orthogonal polynomials. Zbl 0404.60097
Cooper, R. D.; Hoare, M. R.; Rahman, Mizan
1977
Construction of a family of positive kernels from Jacobi polynomials. Zbl 0337.33008
Rahman, M.
1976
Some positive kernels and bilinear sums for Hahn polynomials. Zbl 0337.33010
Rahman, M.
1976
A five-parameter family of positive kernels from Jacobi polynomials. Zbl 0337.33009
Rahman, M.
1976
Explicit form of the distribution of the Behrens-Fisher d-statistic. Zbl 0282.62011
Rahman, M.; Saleh, A. K. Md. Ehsanes
1974
A singular inverse of a matrix by rank annihilation. Zbl 0269.65023
Ahsanullah, M.; Rahman, M.
1973
A characterization of the exponential distribution. Zbl 0242.62007
Ahsanullah, M.; Rahman, M.
1972
all top 5

Cited by 1,425 Authors

 71 Ismail, Mourad El-Houssieny 43 Chu, Wenchang 38 Guo, Victor J. W. 28 Rahman, Mizan 27 Warnaar, S. Ole 26 Koelink, Erik 25 Zeng, Jiang 24 Andrews, George Eyre 22 Schlosser, Michael J. 22 Vinet, Luc 20 Area, Iván 20 Cao, Jian 20 Ntouyas, Sotiris K. 19 Tariboon, Jessada 18 Atakishiev, Natig M. 18 Zhang, Zhizheng 17 Rosengren, Hjalmar 17 Zhedanov, Alexei S. 16 Foupouagnigni, Mama 16 Godoy, Eduardo Paciência 16 Gu, Nancy Shan Shan 16 Krattenthaler, Christian Friedrich 16 Spiridonov, Vyacheslav Pavlovich 16 Stanton, Dennis W. 16 Zhang, Ruiming 15 Álvarez-Nodarse, Renato 15 Chen, William Yong-Chuan 15 Lovejoy, Jeremy 15 Suslov, Sergei K. 14 Fitouhi, Ahmed 14 Terwilliger, Paul M. 13 Bouzeffour, Fethi 13 Koepf, Wolfram A. 13 Ma, Xinrong 13 Srivastava, Hari Mohan 13 Wang, Mingjin 11 Berg, Christian 11 El Bachraoui, Mohamed 11 Foata, Dominique C. 11 Ito, Masahiko 11 Koornwinder, Tom H. 11 Liu, Zhi-Guo 11 Ronveaux, André 11 Stokman, Jasper V. 10 Annaby, Mahmoud H. 10 Berkovich, Alexander 10 Mansour, Zeinab Si 10 Milne, Stephen C. 10 Zudilin, Wadim 9 Bringmann, Kathrin 9 Garvan, Frank G. 9 Han, Guo-Niu 9 Hounkonnou, Mahouton Norbert 9 Jia, Cangzhi 9 Mc Laughlin, James G. 9 Noumi, Masatoshi 9 Sahai, Vivek 9 Sills, Andrew V. 9 Štampach, František 9 Wei, Chuanan 9 Yee, Ae Ja 8 Ahmad, Bashir 8 Corteel, Sylvie 8 Cui, Su-Ping 8 Floreanini, Roberto 8 Iliev, Plamen 8 Klimyk, Anatoliy U. 8 Rains, Eric M. 8 Simeonov, Plamen C. 8 Wang, Chenying 8 Wang, Xiaoxia 7 Abreu, Luís Daniel 7 Costas-Santos, Roberto S. 7 Darus, Maslina 7 Dhaouadi, Lazhar 7 Groenevelt, Wolter G. M. 7 Jordaan, Kerstin 7 Jouhet, Frédéric 7 Szabłowski, Paweł Jerzy 7 Zarzo, Alejandro 6 Abd-Elhameed, Waleed Mohamed 6 Aral, Ali 6 Bettaibi, Néji 6 Bhatnagar, Gaurav 6 dos Santos Cardoso, José Luís 6 Fang, Jianping 6 Kemp, Adrienne W. 6 Kim, Jang Soo 6 Lewanowicz, Stanisław 6 Mansour, Zeinab S. I. 6 Marcellán Español, Francisco 6 Markett, Clemens 6 Patkowski, Alexander Eric 6 Purohit, Sunil Dutt 6 Shiraishi, Jun’ichi 6 Singh, Satya Prakash 6 Šťovíček, Pavel 6 Van Assche, Walter 6 Van der Jeugt, Joris 6 van Diejen, Jan Felipe ...and 1,325 more Authors
all top 5

Cited in 286 Serials

 134 Journal of Mathematical Analysis and Applications 124 The Ramanujan Journal 85 Journal of Computational and Applied Mathematics 59 Proceedings of the American Mathematical Society 58 Advances in Applied Mathematics 55 Advances in Mathematics 48 Journal of Approximation Theory 45 Discrete Mathematics 44 Journal of Combinatorial Theory. Series A 38 Advances in Difference Equations 36 Journal of Mathematical Physics 33 Applied Mathematics and Computation 33 Transactions of the American Mathematical Society 27 Letters in Mathematical Physics 26 Theoretical and Mathematical Physics 25 Journal of Difference Equations and Applications 25 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 22 Rocky Mountain Journal of Mathematics 22 Constructive Approximation 21 International Journal of Number Theory 20 Nuclear Physics. B 20 Integral Transforms and Special Functions 19 Communications in Mathematical Physics 19 Journal of Number Theory 19 Annals of Combinatorics 17 Abstract and Applied Analysis 15 Linear Algebra and its Applications 14 Physics Letters. A 13 Journal of Statistical Planning and Inference 13 Indagationes Mathematicae. New Series 13 Journal of High Energy Physics 12 European Journal of Combinatorics 11 Duke Mathematical Journal 11 Journal of Symbolic Computation 11 Applied Mathematics Letters 10 Journal of Statistical Physics 9 Computers & Mathematics with Applications 9 International Journal of Mathematics and Mathematical Sciences 9 Journal of Algebra 9 Results in Mathematics 9 Journal of Inequalities and Applications 9 Afrika Matematika 8 Annales de l’Institut Fourier 8 Journal of Algebraic Combinatorics 8 Turkish Journal of Mathematics 7 Reports on Mathematical Physics 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 Ukrainian Mathematical Journal 6 Journal of Functional Analysis 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Bulletin of the Australian Mathematical Society 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Functional Analysis and its Applications 5 Mathematische Zeitschrift 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Acta Applicandae Mathematicae 5 Numerical Algorithms 5 Aequationes Mathematicae 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Acta Mathematica Sinica. English Series 5 Journal of Nonlinear Mathematical Physics 5 Analysis and Applications (Singapore) 4 Mathematics of Computation 4 Inventiones Mathematicae 4 Quaestiones Mathematicae 4 Studies in Applied Mathematics 4 Bulletin of the American Mathematical Society. New Series 4 Bulletin des Sciences Mathématiques 4 Advances in Computational Mathematics 4 Arab Journal of Mathematical Sciences 4 Journal of Applied Mathematics 4 Boundary Value Problems 4 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 3 Discrete Applied Mathematics 3 Chaos, Solitons and Fractals 3 Journal of Geometry and Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Compositio Mathematica 3 Czechoslovak Mathematical Journal 3 Demonstratio Mathematica 3 Mathematische Nachrichten 3 Statistics & Probability Letters 3 Applied Numerical Mathematics 3 Mathematical and Computer Modelling 3 Journal of the Egyptian Mathematical Society 3 Advances in Applied Clifford Algebras 3 Finite Fields and their Applications 3 Séminaire Lotharingien de Combinatoire 3 Transformation Groups 3 Probability in the Engineering and Informational Sciences 3 Czechoslovak Journal of Physics 3 Journal of the Australian Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 South East Asian Journal of Mathematics and Mathematical Sciences 3 Mediterranean Journal of Mathematics 3 Complex Analysis and Operator Theory 3 Journal of Nonlinear Science and Applications 3 Acta Universitatis Sapientiae. Mathematica 3 Symmetry 3 Axioms ...and 186 more Serials
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Cited in 54 Fields

 1,136 Special functions (33-XX) 440 Combinatorics (05-XX) 371 Number theory (11-XX) 206 Difference and functional equations (39-XX) 164 Quantum theory (81-XX) 142 Harmonic analysis on Euclidean spaces (42-XX) 123 Nonassociative rings and algebras (17-XX) 99 Functions of a complex variable (30-XX) 77 Probability theory and stochastic processes (60-XX) 70 Ordinary differential equations (34-XX) 63 Approximations and expansions (41-XX) 58 Statistical mechanics, structure of matter (82-XX) 57 Real functions (26-XX) 49 Operator theory (47-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 44 Integral transforms, operational calculus (44-XX) 33 Group theory and generalizations (20-XX) 33 Numerical analysis (65-XX) 30 Functional analysis (46-XX) 25 Associative rings and algebras (16-XX) 25 Statistics (62-XX) 22 Partial differential equations (35-XX) 22 Computer science (68-XX) 21 Topological groups, Lie groups (22-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Algebraic geometry (14-XX) 18 Abstract harmonic analysis (43-XX) 16 Sequences, series, summability (40-XX) 13 Integral equations (45-XX) 12 Operations research, mathematical programming (90-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Information and communication theory, circuits (94-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Manifolds and cell complexes (57-XX) 7 Field theory and polynomials (12-XX) 7 Relativity and gravitational theory (83-XX) 5 Commutative algebra (13-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

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