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## Stanton, Dennis W.

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 Author ID: stanton.dennis-w Published as: Stanton, D.; Stanton, Dennis; Stanton, Dennis W. Homepage: http://www.math.umn.edu/~stant001/ External Links: MGP · ResearchGate
 Documents Indexed: 116 Publications since 1980, including 4 Books Biographic References: 1 Publication
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#### Co-Authors

 26 single-authored 22 Ismail, Mourad El-Houssieny 14 Reiner, Victor 7 Kim, Jang Soo 6 White, Dennis E. 5 Kim, Dongsu 4 Gessel, Ira Martin 3 Chihara, Laura M. 3 Joichi, James T. 3 Lewis, Joel Brewster 3 O’Hara, Kathleen M. 2 Corteel, Sylvie 2 de Médicis, Anne 2 Evans, Ronald J. 2 Fulman, Jason E. 2 Garvan, Frank G. 2 Hersh, Patricia 2 Kook, Woong 2 Miller, Alexander R. 2 Shareshian, John 2 Simion, Rodica E. 2 Zeng, Jiang 1 Andrews, George Eyre 1 Bannai, Eiichi 1 Bannai, Etsuko 1 Barcelo, Hélène 1 Bergerson, M. 1 Bressoud, David M. 1 Burgiel, Heidi 1 Fomin, Sergey Vladimirovich 1 Friedman, Jane E. 1 Fu, Shishuo 1 Garrett, Kristina C. 1 Garsia, Adriano M. 1 Gasper, George Jun 1 Goodman, Frederick M. 1 Greene, John 1 Greene, Joshua D. 1 Guralnick, Robert Michael 1 Habsieger, Laurent 1 Joichi, Jim 1 Kasraoui, Anisse 1 Koornwinder, Tom H. 1 Leroux, Pierre 1 Nevai, Paul G. 1 Olsson, Jørn Børling 1 Pliml, A. 1 Prellberg, Thomas 1 Prodinger, Helmut 1 Rahman, Mizan 1 Shearer, Paul 1 Stanley, Richard Peter 1 Switala, Nicholas 1 Thiem, Nathaniel 1 Viennot, Xavier Gérard 1 Wachs, Michelle Lynn 1 Webb, Peter J. 1 Welker, Volkmar 1 Williams, Lauren K. 1 Zeilberger, Doron
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#### Serials

 11 Journal of Combinatorial Theory. Series A 5 SIAM Journal on Mathematical Analysis 5 Séminaire Lotharingien de Combinatoire 4 Canadian Journal of Mathematics 4 Proceedings of the American Mathematical Society 4 Graphs and Combinatorics 3 Discrete Mathematics 3 Advances in Mathematics 3 Transactions of the American Mathematical Society 3 Journal of Algebraic Combinatorics 3 The Ramanujan Journal 3 Annals of Combinatorics 2 Journal of Mathematical Analysis and Applications 2 Journal of Approximation Theory 2 Journal of Computational and Applied Mathematics 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Aequationes Mathematicae 2 Experimental Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 The IMA Volumes in Mathematics and its Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 American Journal of Mathematics 1 Ars Combinatoria 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Journal of Algorithms 1 SIAM Journal on Algebraic and Discrete Methods 1 Combinatorica 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Methods and Applications of Analysis 1 Journal of Group Theory 1 Contemporary Mathematics 1 Journal of Combinatorics 1 Undergraduate Texts in Mathematics
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#### Fields

 83 Combinatorics (05-XX) 57 Special functions (33-XX) 25 Number theory (11-XX) 17 Group theory and generalizations (20-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

100 Publications have been cited 1,452 times in 1,121 Documents Cited by Year
Cranks and t-cores. Zbl 0721.11039
Garvan, Frank; Kim, Dongsu; Stanton, Dennis
1990
Constructive combinatorics. Zbl 0595.05002
Stanton, Dennis; White, Dennis
1986
The combinatorics of q-Hermite polynomials and the Askey-Wilson integral. Zbl 0642.33006
Ismail, Mourad E. H.; Stanton, Dennis; Viennot, Gérard
1987
The cyclic sieving phenomenon. Zbl 1052.05068
Reiner, V.; Stanton, D.; White, D.
2004
Applications of $$q$$-Lagrange inversion to basic hypergeometric series. Zbl 0513.33001
Gessel, Ira; Stanton, Dennis
1983
Strange evaluations of hypergeometric series. Zbl 0486.33003
Gessel, Ira; Stanton, Dennis
1982
A Schensted algorithm for rim hook tableaux. Zbl 0577.05001
Stanton, Dennis W.; White, Dennis E.
1985
Some q-Krawtchouk polynomials on Chevalley groups. Zbl 0448.33019
Stanton, Dennis
1980
Group actions on Stanley-Reisner rings and invariants of permutation groups. Zbl 0561.06002
Garsia, A. M.; Stanton, D.
1984
On the Askey-Wilson and Rogers polynomials. Zbl 0649.33005
Ismail, Mourad E. H.; Stanton, Dennis
1988
Block inclusions and cores of partitions. Zbl 1173.20010
Olsson, Jørn B.; Stanton, Dennis
2007
Variants of the Rogers-Ramanujan identities. Zbl 0944.33015
Garrett, Kristina; Ismail, Mourad E. H.; Stanton, Dennis
1999
$$q$$-Taylor theorems, polynomial expansions, and interpolation of entire functions. Zbl 1035.30025
Ismail, Mourad E. H.; Stanton, Dennis
2003
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
2000
An upper bound for the cardinality of an s-distance subset in real Euclidean space. II. Zbl 0522.05022
Bannai, Eiichi; Bannai, Etsuko; Stanton, Dennis
1983
A convolution formula for the Tutte polynomial. Zbl 0936.05028
Kook, W.; Reiner, V.; Stanton, D.
1999
Octabasic Laguerre polynomials and permutation statistics. Zbl 0877.05062
Simion, R.; Stanton, D.
1996
Applications of $$q$$-Taylor theorems. Zbl 1024.33012
Ismail, Mourad E. H.; Stanton, Dennis
2003
Zeros of generalized Krawtchouk polynomials. Zbl 0693.33005
Chihara, Laura; Stanton, Dennis
1990
Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116
Corteel, S.; Stanley, R.; Stanton, D.; Williams, L.
2012
Classical orthogonal polynomials as moments. Zbl 0882.33012
Ismail, Mourad E. H.; Stanton, Dennis
1997
Combinatorial Laplacians of matroid complexes. Zbl 0940.05021
Kook, W.; Reiner, V.; Stanton, D.
2000
Bijective proofs of basic hypergeometric series identities. Zbl 0638.33002
Joichi, J. T.; Stanton, Dennis
1987
$$q$$-integral and moment representations for $$q$$-orthogonal polynomials. Zbl 1009.33015
Ismail, Mourad E. H.; Stanton, Dennis
2002
A partially ordered set and q-Krawtchouk polynomials. Zbl 0502.05013
Stanton, Dennis
1981
The combinatorics of $$q$$-Charlier polynomials. Zbl 0819.05061
de Médicis, Anne; Stanton, Dennis; White, Dennis
1995
Short proofs of Saalschütz’s and Dixon’s theorems. Zbl 0559.05008
Gessel, Ira; Stanton, Dennis
1985
Some Erdős-Ko-Rado theorems for Chevalley groups. Zbl 0499.05002
Stanton, Dennis
1980
Another family of q-Lagrange inversion formulas. Zbl 0613.33003
Gessel, Ira; Stanton, Dennis
1986
A character sum evaluation and Gaussian hypergeometric series. Zbl 0588.10038
Greene, J.; Stanton, D.
1986
Harmonics on posets. Zbl 0573.06001
Stanton, Dennis
1985
Some combinatorial and analytical identities. Zbl 1256.05021
Ismail, Mourad E. H.; Stanton, Dennis
2012
The combinatorics of Al-Salam-Chihara $$q$$-Laguerre polynomials. Zbl 1234.05035
Kasraoui, Anisse; Stanton, Dennis; Zeng, Jiang
2011
Rim hook lattices. Zbl 0897.05086
Fomin, S.; Stanton, D.
1997
t-designs in classical association schemes. Zbl 0651.05016
Stanton, Dennis
1986
Sieved partition functions and q-binomial coefficients. Zbl 0702.05008
Garvan, Frank; Stanton, Dennis
1990
Orthogonal polynomials and Chevalley groups. Zbl 0578.20041
Stanton, Dennis
1984
Quadratic $$q$$-exponentials and connection coefficient problems. Zbl 0934.33025
Ismail, Mourad E. H.; Rahman, Mizan; Stanton, Dennis
1999
More orthogonal polynomials as moments. Zbl 0905.05083
Ismail, Mourad E. H.; Stanton, Dennis
1998
Specializations of generalized Laguerre polynomials. Zbl 0813.05074
Simion, R.; Stanton, D.
1994
Unimodality and Young’s lattice. Zbl 0736.05009
Stanton, Dennis
1990
Bimahonian distributions. Zbl 1202.05147
Barcelo, Hélène; Reiner, Victor; Stanton, Dennis
2008
Unimodality of differences of specialized Schur functions. Zbl 0935.05089
Reiner, V.; Stanton, D.
1998
Springer’s regular elements over arbitrary fields. Zbl 1155.13005
Reiner, V.; Stanton, D.; Webb, P.
2006
The combinatorics of the Al-Salam-Chihara $$q$$-Charlier polynomials. Zbl 1203.05016
Kim, Dongsu; Stanton, Dennis; Zeng, Jiang
2005
The Bailey-Rogers-Ramanujan group. Zbl 1009.33016
Stanton, D.
2001
Schur’s determinants and partition theorems. Zbl 0960.05008
Ismail, Mourad E. H.; Prodinger, Helmut; Stanton, Dennis
2000
Determinants in plane partition enumeration. Zbl 0908.05007
Andrews, George E.; Stanton, Dennis W.
1998
Three addition theorems for some q-Krawtchouk polynomials. Zbl 0497.43006
Stanton, Dennis
1981
Orthogonal polynomials and combinatorics. Zbl 0993.05150
Stanton, Dennis
2001
An involution for Jacobi’s identity. Zbl 0661.05007
Joichi, J. T.; Stanton, Dennis
1989
Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055
Fulman, Jason; Guralnick, Robert; Stanton, Dennis
2017
On $$q$$-integrals over order polytopes. Zbl 1355.05051
Kim, Jang Soo; Stanton, Dennis
2017
Lattice paths and positive trigonometric sums. Zbl 0924.42004
Ismail, M. E. H.; Kim, D.; Stanton, D.
1999
Expansions in the Askey-Wilson polynomials. Zbl 1309.33020
Ismail, Mourad E. H.; Stanton, Dennis
2015
What is …cyclic sieving? Zbl 1338.05012
Reiner, Victor; Stanton, Dennis; White, Dennis
2014
Reflection factorizations of Singer cycles. Zbl 1308.05108
Lewis, J. B.; Reiner, V.; Stanton, D.
2014
Tribasic integrals and identities of Rogers-Ramanujan type. Zbl 1033.33012
Ismail, M. E. H.; Stanton, D.
2003
Addition theorems for the $$q$$-exponential function. Zbl 0958.33010
Ismail, Mourad E. H.; Stanton, Dennis W.
2000
An introduction to group representations and orthogonal polynomials. Zbl 0697.42022
Stanton, Dennis
1990
The Odlyzko conjecture and O’Hara’s unimodality proof. Zbl 0693.05008
Stanton, Dennis; Zeilberger, Doron
1989
An elementary approach to the Macdonald identities. Zbl 0736.05010
Stanton, Dennis
1989
Bootstrapping and Askey-Wilson polynomials. Zbl 1302.33017
Kim, Jang Soo; Stanton, Dennis
2015
($$q,t$$)-analogues and $$GL_{n}({\mathbb{F}}_{q})$$. Zbl 1228.05021
Reiner, Victor; Stanton, Dennis
2010
The Charney-Davis quantity for certain graded posets. Zbl 1033.06002
Reiner, Vic; Stanton, Dennis; Welker, Volkmar
2003
A hypergeometric hierarchy for the Andrews evaluations. Zbl 0933.33005
Stanton, D.
1998
More zeros of Krawtchouk polynomials. Zbl 0805.33008
Habsieger, Laurent; Stanton, Dennis
1993
Recent results for the q-Lagrange inversion formula. Zbl 0658.05008
Stanton, Dennis
1988
Sign variations of the Macdonald identities. Zbl 0609.17006
Stanton, Dennis
1986
Asymptotic formulas for zero-balanced hypergeometric series. Zbl 0547.33001
Evans, Ronald J.; Stanton, Dennis
1984
Coefficients in expansions of certain rational functions. Zbl 0495.33001
Evans, Ronald; Ismail, Mourad E. H.; Stanton, Dennis
1982
A short proof of a generating function for Jacobi polynomials. Zbl 0446.33016
Stanton, Dennis
1980
Product formula for q-Hahn polynomials. Zbl 0436.33009
Stanton, Dennis
1980
Moments of orthogonal polynomials and combinatorics. Zbl 1356.33006
Corteel, Sylvie; Kim, Jang Soo; Stanton, Dennis
2016
$$q$$-analogues of Euler’s odd = distinct theorem. Zbl 1229.05033
Stanton, Dennis
2009
A unimodality identity for a Schur function. Zbl 0768.05093
Goodman, Frederick M.; O’Hara, Kathleen M.; Stanton, Dennis
1992
Modularly complemented lattices and shellability. Zbl 0551.06013
Stanton, Dennis; Wachs, Michelle
1984
Generalized n-gons and Chebyshev polynomials. Zbl 0514.33011
Stanton, Dennis
1983
On the distribution of the number of fixed vectors for the finite classical groups. Zbl 1394.20028
Fulman, Jason; Stanton, Dennis
2016
Moments of Askey-Wilson polynomials. Zbl 1295.05034
Kim, Jang Soo; Stanton, Dennis
2014
Moments of Askey-Wilson polynomials. Zbl 1294.05174
Kim, Jang Soo; Stanton, Dennis
2013
Gaussian integrals and the Rogers-Ramanujan identities. Zbl 1040.33012
Stanton, D.
2001
Realizations of regular abstract polyhedra of types $$\{3,6\}$$ and $$\{6,3\}$$. Zbl 0959.51019
Burgiel, H.; Stanton, D.
2000
A matrix equation for association schemes. Zbl 0828.05065
Chihara, L.; Stanton, D.
1995
More monotonicity theorems for partitions. Zbl 0810.11058
Friedman, Jane; Joichi, James T.; Stanton, Dennis
1994
q-Series and partitions. Proceedings of the workshop held at the IMA, Minneapolis, MN (USA) on March 7-11, 1988. Zbl 0687.00005
Stanton, Dennis (ed.)
1989
Association schemes and quadratic transformations for orthogonal polynomials. Zbl 0651.05020
Chihara, Laura; Stanton, Dennis
1986
The triplication formula for Gauss sums. Zbl 0588.10037
Greene, John; Stanton, Dennis
1986
Orthogonal polynomials and Smith normal form. Zbl 1395.05029
Miller, Alexander R.; Stanton, Dennis
2018
Invariants of $$\mathrm{GL}_n(\mathbb F_q)$$ in polynomials modulo Frobenius powers. Zbl 1393.13014
Lewis, J.; Reiner, V.; Stanton, D.
2017
Refinements of the Rogers-Ramanujan identities. Zbl 1323.05018
O’Hara, Kathleen; Stanton, Dennis
2015
The $$q = -1$$ phenomenon via homology concentration. Zbl 1304.05150
Hersh, P.; Shareshian, J.; Stanton, D.
2014
The negative $$q$$-binomial. Zbl 1243.05016
Fu, Shishuo; Reiner, V.; Stanton, Dennis; Thiem, Nathaniel
2012
Ramanujan continued fractions via orthogonal polynomials. Zbl 1103.11003
Ismail, Mourad E. H.; Stanton, Dennis
2006
Proof of a monotonicity conjecture. Zbl 1031.05016
Prellberg, T.; Stanton, D.
2003
The mathematical contributions of Richard Askey. Zbl 0953.01015
Gasper, George; Ismail, Mourad E. H.; Koornwinder, Tom; Nevai, Paul; Stanton, Dennis
2000
$$q$$-series from a contemporary perspective. AMS-IMS-SIAM joint summer research conference on $$q$$-series, combinatorics, and computer algebra, South Hadley, MA, USA, June 21–25, 1998. Zbl 0941.00012
Ismail, Mourad E. H. (ed.); Stanton, Dennis W. (ed.)
2000
Combinatorial orthogonal expansions. Zbl 0876.42015
de Médicis, A.; Stanton, D.
1996
Combinatorics of the $$z^{AB}$$ theorem. Zbl 0721.05002
Stanton, Dennis; White, Dennis
1990
Invariant theory and tableaux. Proceedings of the workshop held at the IMA, Minneapolis, MN (USA) on March 21-25, 1988. Zbl 0694.00010
Stanton, Dennis (ed.)
1990
Orthogonal polynomials and Smith normal form. Zbl 1395.05029
Miller, Alexander R.; Stanton, Dennis
2018
Asymptotics of the number of involutions in finite classical groups. Zbl 1376.20055
Fulman, Jason; Guralnick, Robert; Stanton, Dennis
2017
On $$q$$-integrals over order polytopes. Zbl 1355.05051
Kim, Jang Soo; Stanton, Dennis
2017
Invariants of $$\mathrm{GL}_n(\mathbb F_q)$$ in polynomials modulo Frobenius powers. Zbl 1393.13014
Lewis, J.; Reiner, V.; Stanton, D.
2017
Moments of orthogonal polynomials and combinatorics. Zbl 1356.33006
Corteel, Sylvie; Kim, Jang Soo; Stanton, Dennis
2016
On the distribution of the number of fixed vectors for the finite classical groups. Zbl 1394.20028
Fulman, Jason; Stanton, Dennis
2016
Expansions in the Askey-Wilson polynomials. Zbl 1309.33020
Ismail, Mourad E. H.; Stanton, Dennis
2015
Bootstrapping and Askey-Wilson polynomials. Zbl 1302.33017
Kim, Jang Soo; Stanton, Dennis
2015
Refinements of the Rogers-Ramanujan identities. Zbl 1323.05018
O’Hara, Kathleen; Stanton, Dennis
2015
What is …cyclic sieving? Zbl 1338.05012
Reiner, Victor; Stanton, Dennis; White, Dennis
2014
Reflection factorizations of Singer cycles. Zbl 1308.05108
Lewis, J. B.; Reiner, V.; Stanton, D.
2014
Moments of Askey-Wilson polynomials. Zbl 1295.05034
Kim, Jang Soo; Stanton, Dennis
2014
The $$q = -1$$ phenomenon via homology concentration. Zbl 1304.05150
Hersh, P.; Shareshian, J.; Stanton, D.
2014
Moments of Askey-Wilson polynomials. Zbl 1294.05174
Kim, Jang Soo; Stanton, Dennis
2013
Formulae for Askey-Wilson moments and enumeration of staircase tableaux. Zbl 1269.05116
Corteel, S.; Stanley, R.; Stanton, D.; Williams, L.
2012
Some combinatorial and analytical identities. Zbl 1256.05021
Ismail, Mourad E. H.; Stanton, Dennis
2012
The negative $$q$$-binomial. Zbl 1243.05016
Fu, Shishuo; Reiner, V.; Stanton, Dennis; Thiem, Nathaniel
2012
The combinatorics of Al-Salam-Chihara $$q$$-Laguerre polynomials. Zbl 1234.05035
Kasraoui, Anisse; Stanton, Dennis; Zeng, Jiang
2011
($$q,t$$)-analogues and $$GL_{n}({\mathbb{F}}_{q})$$. Zbl 1228.05021
Reiner, Victor; Stanton, Dennis
2010
$$q$$-analogues of Euler’s odd = distinct theorem. Zbl 1229.05033
Stanton, Dennis
2009
Bimahonian distributions. Zbl 1202.05147
Barcelo, Hélène; Reiner, Victor; Stanton, Dennis
2008
Block inclusions and cores of partitions. Zbl 1173.20010
Olsson, Jørn B.; Stanton, Dennis
2007
Springer’s regular elements over arbitrary fields. Zbl 1155.13005
Reiner, V.; Stanton, D.; Webb, P.
2006
Ramanujan continued fractions via orthogonal polynomials. Zbl 1103.11003
Ismail, Mourad E. H.; Stanton, Dennis
2006
The combinatorics of the Al-Salam-Chihara $$q$$-Charlier polynomials. Zbl 1203.05016
Kim, Dongsu; Stanton, Dennis; Zeng, Jiang
2005
The cyclic sieving phenomenon. Zbl 1052.05068
Reiner, V.; Stanton, D.; White, D.
2004
$$q$$-Taylor theorems, polynomial expansions, and interpolation of entire functions. Zbl 1035.30025
Ismail, Mourad E. H.; Stanton, Dennis
2003
Applications of $$q$$-Taylor theorems. Zbl 1024.33012
Ismail, Mourad E. H.; Stanton, Dennis
2003
Tribasic integrals and identities of Rogers-Ramanujan type. Zbl 1033.33012
Ismail, M. E. H.; Stanton, D.
2003
The Charney-Davis quantity for certain graded posets. Zbl 1033.06002
Reiner, Vic; Stanton, Dennis; Welker, Volkmar
2003
Proof of a monotonicity conjecture. Zbl 1031.05016
Prellberg, T.; Stanton, D.
2003
$$q$$-integral and moment representations for $$q$$-orthogonal polynomials. Zbl 1009.33015
Ismail, Mourad E. H.; Stanton, Dennis
2002
The Bailey-Rogers-Ramanujan group. Zbl 1009.33016
Stanton, D.
2001
Orthogonal polynomials and combinatorics. Zbl 0993.05150
Stanton, Dennis
2001
Gaussian integrals and the Rogers-Ramanujan identities. Zbl 1040.33012
Stanton, D.
2001
Change of base in Bailey pairs. Zbl 0980.33013
Bressoud, D.; Ismail, M. E. H.; Stanton, D.
2000
Combinatorial Laplacians of matroid complexes. Zbl 0940.05021
Kook, W.; Reiner, V.; Stanton, D.
2000
Schur’s determinants and partition theorems. Zbl 0960.05008
Ismail, Mourad E. H.; Prodinger, Helmut; Stanton, Dennis
2000
Addition theorems for the $$q$$-exponential function. Zbl 0958.33010
Ismail, Mourad E. H.; Stanton, Dennis W.
2000
Realizations of regular abstract polyhedra of types $$\{3,6\}$$ and $$\{6,3\}$$. Zbl 0959.51019
Burgiel, H.; Stanton, D.
2000
The mathematical contributions of Richard Askey. Zbl 0953.01015
Gasper, George; Ismail, Mourad E. H.; Koornwinder, Tom; Nevai, Paul; Stanton, Dennis
2000
$$q$$-series from a contemporary perspective. AMS-IMS-SIAM joint summer research conference on $$q$$-series, combinatorics, and computer algebra, South Hadley, MA, USA, June 21–25, 1998. Zbl 0941.00012
Ismail, Mourad E. H. (ed.); Stanton, Dennis W. (ed.)
2000
Variants of the Rogers-Ramanujan identities. Zbl 0944.33015
Garrett, Kristina; Ismail, Mourad E. H.; Stanton, Dennis
1999
A convolution formula for the Tutte polynomial. Zbl 0936.05028
Kook, W.; Reiner, V.; Stanton, D.
1999
Quadratic $$q$$-exponentials and connection coefficient problems. Zbl 0934.33025
Ismail, Mourad E. H.; Rahman, Mizan; Stanton, Dennis
1999
Lattice paths and positive trigonometric sums. Zbl 0924.42004
Ismail, M. E. H.; Kim, D.; Stanton, D.
1999
More orthogonal polynomials as moments. Zbl 0905.05083
Ismail, Mourad E. H.; Stanton, Dennis
1998
Unimodality of differences of specialized Schur functions. Zbl 0935.05089
Reiner, V.; Stanton, D.
1998
Determinants in plane partition enumeration. Zbl 0908.05007
Andrews, George E.; Stanton, Dennis W.
1998
A hypergeometric hierarchy for the Andrews evaluations. Zbl 0933.33005
Stanton, D.
1998
Classical orthogonal polynomials as moments. Zbl 0882.33012
Ismail, Mourad E. H.; Stanton, Dennis
1997
Rim hook lattices. Zbl 0897.05086
Fomin, S.; Stanton, D.
1997
Octabasic Laguerre polynomials and permutation statistics. Zbl 0877.05062
Simion, R.; Stanton, D.
1996
Combinatorial orthogonal expansions. Zbl 0876.42015
de Médicis, A.; Stanton, D.
1996
The combinatorics of $$q$$-Charlier polynomials. Zbl 0819.05061
de Médicis, Anne; Stanton, Dennis; White, Dennis
1995
A matrix equation for association schemes. Zbl 0828.05065
Chihara, L.; Stanton, D.
1995
Specializations of generalized Laguerre polynomials. Zbl 0813.05074
Simion, R.; Stanton, D.
1994
More monotonicity theorems for partitions. Zbl 0810.11058
Friedman, Jane; Joichi, James T.; Stanton, Dennis
1994
More zeros of Krawtchouk polynomials. Zbl 0805.33008
Habsieger, Laurent; Stanton, Dennis
1993
A unimodality identity for a Schur function. Zbl 0768.05093
Goodman, Frederick M.; O’Hara, Kathleen M.; Stanton, Dennis
1992
Cranks and t-cores. Zbl 0721.11039
Garvan, Frank; Kim, Dongsu; Stanton, Dennis
1990
Zeros of generalized Krawtchouk polynomials. Zbl 0693.33005
Chihara, Laura; Stanton, Dennis
1990
Sieved partition functions and q-binomial coefficients. Zbl 0702.05008
Garvan, Frank; Stanton, Dennis
1990
Unimodality and Young’s lattice. Zbl 0736.05009
Stanton, Dennis
1990
An introduction to group representations and orthogonal polynomials. Zbl 0697.42022
Stanton, Dennis
1990
Combinatorics of the $$z^{AB}$$ theorem. Zbl 0721.05002
Stanton, Dennis; White, Dennis
1990
Invariant theory and tableaux. Proceedings of the workshop held at the IMA, Minneapolis, MN (USA) on March 21-25, 1988. Zbl 0694.00010
Stanton, Dennis (ed.)
1990
An involution for Jacobi’s identity. Zbl 0661.05007
Joichi, J. T.; Stanton, Dennis
1989
The Odlyzko conjecture and O’Hara’s unimodality proof. Zbl 0693.05008
Stanton, Dennis; Zeilberger, Doron
1989
An elementary approach to the Macdonald identities. Zbl 0736.05010
Stanton, Dennis
1989
q-Series and partitions. Proceedings of the workshop held at the IMA, Minneapolis, MN (USA) on March 7-11, 1988. Zbl 0687.00005
Stanton, Dennis (ed.)
1989
On the Askey-Wilson and Rogers polynomials. Zbl 0649.33005
Ismail, Mourad E. H.; Stanton, Dennis
1988
Recent results for the q-Lagrange inversion formula. Zbl 0658.05008
Stanton, Dennis
1988
The combinatorics of q-Hermite polynomials and the Askey-Wilson integral. Zbl 0642.33006
Ismail, Mourad E. H.; Stanton, Dennis; Viennot, Gérard
1987
Bijective proofs of basic hypergeometric series identities. Zbl 0638.33002
Joichi, J. T.; Stanton, Dennis
1987
Constructive combinatorics. Zbl 0595.05002
Stanton, Dennis; White, Dennis
1986
Another family of q-Lagrange inversion formulas. Zbl 0613.33003
Gessel, Ira; Stanton, Dennis
1986
A character sum evaluation and Gaussian hypergeometric series. Zbl 0588.10038
Greene, J.; Stanton, D.
1986
t-designs in classical association schemes. Zbl 0651.05016
Stanton, Dennis
1986
Sign variations of the Macdonald identities. Zbl 0609.17006
Stanton, Dennis
1986
Association schemes and quadratic transformations for orthogonal polynomials. Zbl 0651.05020
Chihara, Laura; Stanton, Dennis
1986
The triplication formula for Gauss sums. Zbl 0588.10037
Greene, John; Stanton, Dennis
1986
A Schensted algorithm for rim hook tableaux. Zbl 0577.05001
Stanton, Dennis W.; White, Dennis E.
1985
Short proofs of Saalschütz’s and Dixon’s theorems. Zbl 0559.05008
Gessel, Ira; Stanton, Dennis
1985
Harmonics on posets. Zbl 0573.06001
Stanton, Dennis
1985
Group actions on Stanley-Reisner rings and invariants of permutation groups. Zbl 0561.06002
Garsia, A. M.; Stanton, D.
1984
Orthogonal polynomials and Chevalley groups. Zbl 0578.20041
Stanton, Dennis
1984
Asymptotic formulas for zero-balanced hypergeometric series. Zbl 0547.33001
Evans, Ronald J.; Stanton, Dennis
1984
Modularly complemented lattices and shellability. Zbl 0551.06013
Stanton, Dennis; Wachs, Michelle
1984
Applications of $$q$$-Lagrange inversion to basic hypergeometric series. Zbl 0513.33001
Gessel, Ira; Stanton, Dennis
1983
An upper bound for the cardinality of an s-distance subset in real Euclidean space. II. Zbl 0522.05022
Bannai, Eiichi; Bannai, Etsuko; Stanton, Dennis
1983
Generalized n-gons and Chebyshev polynomials. Zbl 0514.33011
Stanton, Dennis
1983
Strange evaluations of hypergeometric series. Zbl 0486.33003
Gessel, Ira; Stanton, Dennis
1982
Coefficients in expansions of certain rational functions. Zbl 0495.33001
Evans, Ronald; Ismail, Mourad E. H.; Stanton, Dennis
1982
A partially ordered set and q-Krawtchouk polynomials. Zbl 0502.05013
Stanton, Dennis
1981
Three addition theorems for some q-Krawtchouk polynomials. Zbl 0497.43006
Stanton, Dennis
1981
Some q-Krawtchouk polynomials on Chevalley groups. Zbl 0448.33019
Stanton, Dennis
1980
Some Erdős-Ko-Rado theorems for Chevalley groups. Zbl 0499.05002
Stanton, Dennis
1980
A short proof of a generating function for Jacobi polynomials. Zbl 0446.33016
Stanton, Dennis
1980
Product formula for q-Hahn polynomials. Zbl 0436.33009
Stanton, Dennis
1980
all top 5

#### Cited by 1,089 Authors

 36 Stanton, Dennis W. 33 Ismail, Mourad El-Houssieny 26 Chu, Wenchang 21 Zeng, Jiang 16 Ono, Ken 15 Reiner, Victor 15 Rhoades, Brendon 14 Kim, Jang Soo 13 White, Dennis E. 12 Cao, Jian 12 Guo, Victor J. W. 12 Krattenthaler, Christian Friedrich 12 Mansour, Toufik 12 Zeilberger, Doron 11 Corteel, Sylvie 10 Kim, Byungchan 10 Milne, Stephen C. 10 Szabłowski, Paweł Jerzy 10 Warnaar, S. Ole 9 Baruah, Nayandeep Deka 9 Chen, William Yong-Chuan 9 Lovejoy, Jeremy 8 Berkovich, Alexander 8 Caselli, Fabrizio 8 Garvan, Frank G. 8 Nozaki, Hiroshi 8 Sagan, Bruce Eli 8 Stanley, Richard Peter 7 Chen, Xiaojing 7 Olsson, Jørn Børling 7 Schlosser, Michael J. 7 Vinet, Luc 7 Wachs, Michelle Lynn 7 Williams, Lauren K. 7 Zhang, Zhizheng 6 Andrews, George Eyre 6 Bessenrodt, Christine 6 Bouzeffour, Fethi 6 Gessel, Ira Martin 6 Liu, Zhi-Guo 6 Ma, Xinrong 6 Pak, Igor 6 Scarabotti, Fabio 6 Shinohara, Masashi 6 Sills, Andrew V. 6 Swanson, Joshua P. 6 Tanaka, Hajime 5 Bryc, Włodzimierz 5 Duval, Art M. 5 Foupouagnigni, Mama 5 Haglund, James 5 Hopkins, Samuel Francis 5 Huang, Jia 5 Ihringer, Ferdinand 5 Koepf, Wolfram A. 5 Mc Laughlin, James G. 5 Metsch, Klaus 5 Nath, Kallol 5 Shattuck, Mark A. 5 Srivastava, Hari Mohan 5 Suslov, Sergei K. 5 Terwilliger, Paul M. 5 Wang, Chenying 5 Wei, Chuanan 5 Xiong, Huan 5 Yee, Ae Ja 5 Zhedanov, Alexei S. 4 Adin, Ron M. 4 Ahlbach, Connor 4 Area, Iván 4 Armstrong, Drew 4 Bannai, Eiichi 4 Biagioli, Riccardo 4 Dominici, Diego Ernesto 4 Donnelly, Robert G. 4 Fang, Jianping 4 Fu, Tung-Shan 4 Godoy, Eduardo Paciência 4 Han, Guo-Niu 4 Jordaan, Kerstin 4 Joseph, Michael 4 Josuat-Vergès, Matthieu 4 Konvalinka, Matjaž 4 Kook, Woong 4 Li, Nadia Na 4 Martin, Jeremy L. 4 Nath, Rishi 4 Pechenik, Oliver 4 Roby, Tom 4 Roichman, Yuval 4 Schmidt, Kai-Uwe 4 Sze, Lawrence 4 Tcheutia, Daniel Duviol 4 Wang, Xiaoxia 4 Yoo, Meesue 4 Zanello, Fabrizio 4 Zhang, Ruiming 3 Backman, Spencer 3 Barman, Rupam 3 Bhatnagar, Gaurav ...and 989 more Authors
all top 5

#### Cited in 192 Serials

 107 Journal of Combinatorial Theory. Series A 91 Discrete Mathematics 64 Advances in Applied Mathematics 55 European Journal of Combinatorics 49 The Ramanujan Journal 42 Transactions of the American Mathematical Society 39 Journal of Mathematical Analysis and Applications 39 Journal of Algebraic Combinatorics 37 Advances in Mathematics 34 Proceedings of the American Mathematical Society 32 Journal of Number Theory 23 Annals of Combinatorics 19 The Electronic Journal of Combinatorics 19 Séminaire Lotharingien de Combinatoire 15 Journal of Approximation Theory 15 International Journal of Number Theory 12 Journal of Algebra 12 Graphs and Combinatorics 11 Journal of Difference Equations and Applications 11 Algebraic Combinatorics 10 Journal of Computational and Applied Mathematics 9 Journal of Mathematical Physics 9 Journal of Combinatorial Theory. Series B 9 Linear Algebra and its Applications 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Rocky Mountain Journal of Mathematics 8 Applied Mathematics and Computation 8 Integral Transforms and Special Functions 7 Theoretical Computer Science 6 Communications in Algebra 6 Israel Journal of Mathematics 6 Journal of Statistical Planning and Inference 6 Mathematische Zeitschrift 6 Journal of High Energy Physics 5 Communications in Mathematical Physics 5 Duke Mathematical Journal 5 Journal of Pure and Applied Algebra 5 Combinatorica 5 Constructive Approximation 5 Bulletin of the American Mathematical Society. New Series 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Archiv der Mathematik 4 Compositio Mathematica 4 Journal of Functional Analysis 4 Random Structures & Algorithms 4 Experimental Mathematics 4 Advances in Difference Equations 3 Bulletin of the Australian Mathematical Society 3 Discrete Applied Mathematics 3 Information Processing Letters 3 Ukrainian Mathematical Journal 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 SIAM Journal on Algebraic and Discrete Methods 3 Numerical Algorithms 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 3 Finite Fields and their Applications 3 Journal of Integer Sequences 3 Analysis and Applications (Singapore) 3 Journal of Statistical Mechanics: Theory and Experiment 3 Forum of Mathematics, Sigma 3 Axioms 3 Research in the Mathematical Sciences 3 Korean Journal of Mathematics 2 Computers & Mathematics with Applications 2 Letters in Mathematical Physics 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Inventiones Mathematicae 2 The Journal of Symbolic Logic 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Studies in Applied Mathematics 2 Acta Applicandae Mathematicae 2 Order 2 Journal of Symbolic Computation 2 Discrete & Computational Geometry 2 Journal of Theoretical Probability 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 Forum Mathematicum 2 Designs, Codes and Cryptography 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 The Australasian Journal of Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 Combinatorics, Probability and Computing 2 Turkish Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Abstract and Applied Analysis 2 Mathematical Physics, Analysis and Geometry 2 Taiwanese Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series ...and 92 more Serials
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#### Cited in 49 Fields

 740 Combinatorics (05-XX) 349 Special functions (33-XX) 288 Number theory (11-XX) 121 Group theory and generalizations (20-XX) 63 Order, lattices, ordered algebraic structures (06-XX) 42 Convex and discrete geometry (52-XX) 41 Probability theory and stochastic processes (60-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 35 Algebraic geometry (14-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 35 Nonassociative rings and algebras (17-XX) 31 Geometry (51-XX) 26 Quantum theory (81-XX) 24 Functions of a complex variable (30-XX) 21 Difference and functional equations (39-XX) 20 Commutative algebra (13-XX) 19 Computer science (68-XX) 17 Information and communication theory, circuits (94-XX) 16 Associative rings and algebras (16-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Abstract harmonic analysis (43-XX) 13 Numerical analysis (65-XX) 12 Approximations and expansions (41-XX) 10 Real functions (26-XX) 9 Topological groups, Lie groups (22-XX) 9 Sequences, series, summability (40-XX) 9 Operator theory (47-XX) 9 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Integral transforms, operational calculus (44-XX) 7 Ordinary differential equations (34-XX) 7 Statistics (62-XX) 7 Relativity and gravitational theory (83-XX) 7 Operations research, mathematical programming (90-XX) 6 Mathematical logic and foundations (03-XX) 5 Category theory; homological algebra (18-XX) 5 Functional analysis (46-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Biology and other natural sciences (92-XX)