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Chen, William Yong-Chuan

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Author ID: chen.william-y-c Recent zbMATH articles by "Chen, William Yong-Chuan"
Published as: Chen, William Y. C.; Chen, Y.; Chen, Yongchuan; Chen, W. Y. C.; Chen, William Y.-C.; Chen, William Y.; Chen, Yong-Chuan
Homepage: http://www.billchen.org
External Links: MGP · Wikidata · dblp
Documents Indexed: 190 Publications since 1985, including 1 Book
all top 5

Co-Authors

16 single-authored
14 Yang, Arthur L. B.
13 Wang, Larry X. W.
11 Hou, Qinghu
10 Ji, Kathy Qing
10 Louck, James D.
8 Guo, Peter L.
8 Sun, Lisa Hui
8 Xia, Ernest X. W.
6 Fu, Amy M.
6 Yan, Catherine Huafei
5 Fan, Neil J. Y.
5 Pang, Sabrina X. M.
5 Wang, David Guo-Liang
5 Yang, Laura L. M.
5 Zhao, Alina F. Y.
4 Li, Xueliang
4 Mu, Yanping
4 Saad, Husam L.
4 Yan, Sherry H. F.
4 Zang, Wenston J. T.
3 Deng, Eva Y. P.
3 Dou, Donna Quan Jie
3 Gao, Oliver X. Q.
3 Gu, Cindy C. Y.
3 Gu, Nancy Shan Shan
3 Guo, Jeremy J. F.
3 Huang, Harry H. Y.
3 Qu, Ellen X. Y.
3 Reidys, Christian Michael
3 Sang, Doris D. M.
3 Shapiro, Louis W.
3 Shi, Diane Y. H.
3 Stanley, Richard Peter
3 Tang, Robert L.
3 Wang, Andrew Y. Z.
3 Wang, Carol J.
3 Yang, Harold R. L.
2 Chen, Joanna N.
2 Chen, Vincent Y. B.
2 Dai, Alvin Y. L.
2 Du, Daniel K.
2 Du, Rosena R. X.
2 Faber, Vance
2 Gao, Henry Y.
2 Guo, Alan J. X.
2 Jia, Jeffrey Y. T.
2 Jin, Hai-Tao
2 Li, Nelson Y.
2 Li, Teresa X. S.
2 Lin, Bernard L. S.
2 Liu, Eric H.
2 Liu, Jiuqiang
2 Liu, Lewis H.
2 Liu, Zhi-Guo
2 Ma, Kevin J.
2 Peng, Janet F. F.
2 Qin, Jing
2 Shen, Erin Y. Y.
2 Wang, Jun
2 Yan, Guoguang
2 Zeilberger, Doron
2 Zhang, Iris F.
2 Zhou, Robin D. P.
2 Zhu, Albert J. W.
1 Akiyama, Jin
1 Aziz, T. Z.
1 Barrett, Chris L.
1 Biedenharn, Lawrence C. jun.
1 Bigoni, Daniele
1 Chen, Sandy H. L.
1 Chu, Wenchang
1 Deng, Yuping
1 Deshpande, Vikram S.
1 Deutsch, Emeric
1 Dharmasena, K. P.
1 Dokos, Theodore
1 Dress, Andreas W. M.
1 Du, Ding-Zhu
1 Du, Julia Q. D.
1 Dudt, P.
1 Dwyer, Tim
1 Elizalde, Sergi
1 Evans, Anthony G.
1 Fan, Anna R. B.
1 Galbraith, Harold W.
1 Gessel, Ira Martin
1 Gong, George Z.
1 Guo, Victor J. W.
1 Han, Hillary S. W.
1 Hao, Robert X. J.
1 He, Jia
1 Hsu, Frank D.
1 Jia, Dennis X. Q.
1 Kano, Mikio
1 Knill, Emanuel
1 Krattenthaler, Christian Friedrich
1 Lascoux, Alain
1 Li, Bingqing
1 Li, Martin Y. X.
1 Lih, Kowei
...and 41 more Co-Authors
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Serials

23 The Electronic Journal of Combinatorics
19 European Journal of Combinatorics
18 Discrete Mathematics
15 Journal of Combinatorial Theory. Series A
14 Advances in Applied Mathematics
9 The Ramanujan Journal
7 SIAM Journal on Discrete Mathematics
5 Proceedings of the American Mathematical Society
4 Mathematics of Computation
4 Journal of Symbolic Computation
4 Journal of Algebraic Combinatorics
3 Advances in Mathematics
3 Journal of Number Theory
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Transactions of the American Mathematical Society
2 Discrete Applied Mathematics
2 Journal of Mathematical Physics
2 Acta Arithmetica
2 Mathematische Zeitschrift
2 Pacific Journal of Mathematics
2 Journal of Sichuan University. Natural Science Edition
2 Linear Algebra and its Applications
2 Proceedings of the National Academy of Sciences of the United States of America
2 Annals of Combinatorics
1 Computers & Mathematics with Applications
1 Inverse Problems
1 Journal of the Franklin Institute
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Networks
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Computing
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Graphs and Combinatorics
1 Discrete & Computational Geometry
1 Systems Science and Mathematical Sciences
1 IMRN. International Mathematics Research Notices
1 Journal of Difference Equations and Applications
1 European Journal of Mechanics. A. Solids
1 The Quarterly Journal of Mathematics
1 Lecture Notes in Computer Science
1 Mathematics in Computer Science
1 Frontiers of Mathematics in China
1 Journal of Physics A: Mathematical and Theoretical
1 Scientia Iranica. Transaction B: Mechanical Engineering
1 Science China. Mathematics

Publications by Year

Citations contained in zbMATH Open

158 Publications have been cited 1,065 times in 778 Documents Cited by Year
Crossings and nestings of matchings and partitions. Zbl 1108.05012
Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H.
80
2007
Parameter augmentation for basic hypergeometric series. II. Zbl 0901.33009
Chen, William Y. C.; Liu, Zhi-Guo
35
1997
The combinatorial power of the companion matrix. Zbl 0838.15015
Chen, William Y. C.; Louck, James D.
29
1996
Context-free grammars, differential operators and formal power series. Zbl 0788.68082
Chen, William Y. C.
28
1993
Parameter augmentation for basic hypergeometric series. I. Zbl 0901.33008
Chen, William Y. C.; Liu, Zhi-Guo
24
1998
A general bijective algorithm for trees. Zbl 0707.05019
Chen, William Y. C.
22
1990
Average size of a self-conjugate \((s,t)\)-core partition. Zbl 1331.05030
Chen, William Y. C.; Huang, Harry H. Y.; Wang, Larry X. W.
20
2016
Context-free grammars for permutations and increasing trees. Zbl 1348.05007
Chen, William Y. C.; Fu, Amy M.
18
2017
The factorial Schur function. Zbl 0787.05091
Chen, William Y. C.; Louck, James D.
17
1993
Cycle prefix digraphs for symmetric interconnection networks. Zbl 0802.90043
Faber, Vance; Moore, James W.; Chen, William Y. C.
17
1993
Discrete dynamical systems on graphs and Boolean functions. Zbl 1113.37005
Barrett, Chris L.; Chen, William Y. C.; Zheng, Michelle J.
16
2004
Proof of a conjecture of Hirschhorn and Sellers on overpartitions. Zbl 1302.11084
Chen, William Y. C.; Xia, Ernest X. W.
16
2014
The homogeneous \(q\)-difference operator. Zbl 1075.39018
Chen, William Y. C.; Fu, Amy M.; Zhang, Baoyin
15
2003
Extended Zeilberger’s algorithm for identities on Bernoulli and Euler polynomials. Zbl 1183.11011
Chen, William Y. C.; Sun, Lisa H.
15
2009
The 2-log-convexity of the Apéry numbers. Zbl 1290.05025
Chen, William Y. C.; Xia, Ernest X. W.
15
2011
The \(q\)-log-convexity of the Narayana polynomials of type \(B\). Zbl 1230.05276
Chen, William Y. C.; Tang, Robert L.; Wang, Larry X. W.; Yang, Arthur L. B.
14
2010
Schur positivity and the \(q\)-log-convexity of the Narayana polynomials. Zbl 1230.05277
Chen, William Y. C.; Wang, Larry X. W.; Yang, Arthur L. B.
14
2010
Arithmetic properties of overpartition pairs. Zbl 1234.05032
Chen, William Y. C.; Lin, Bernard L. S.
14
2012
\(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position. Zbl 0806.05010
Chen, William Y. C.; Rota, Gian-Carlo
14
1992
Reduction of \(m\)-regular noncrossing partitions. Zbl 1059.05011
Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.
13
2005
Derangement polynomials and excedances of type \(B\). Zbl 1188.05007
Chen, William Y. C.; Tang, Robert L.; Zhao, Alina F. Y.
13
2009
Recurrence relations for strongly \(q\)-log-convex polynomials. Zbl 1239.05190
Chen, William Y. C.; Wang, Larry X. W.; Yang, Arthur L. B.
12
2011
Infinitely log-monotonic combinatorial sequences. Zbl 1281.05019
Chen, William Y. C.; Guo, Jeremy J. F.; Wang, Larry X. W.
12
2014
Identities from weighted Motzkin paths. Zbl 1148.05007
Chen, William Y. C.; Yan, Sherry H. F.; Yang, Laura L. M.
12
2008
Factors of the Gaussian coefficients. Zbl 1096.05008
Chen, William Y. C.; Hou, Qinghu
11
2006
Matrix identities on weighted partial Motzkin paths. Zbl 1113.05005
Chen, William Y. C.; Li, Nelson Y.; Shapiro, Louis W.; Yan, Sherry H. F.
11
2007
Congruences for bipartitions with odd parts distinct. Zbl 1227.11107
Chen, William Y. C.; Lin, Bernard L. S.
11
2011
A short proof of Kundu’s k-factor theorem. Zbl 0651.05054
Chen, Yong-Chuan
11
1988
The flagged double Schur function. Zbl 0990.05133
Chen, William Y. C.; Li, Bingqing; Louck, J. D.
10
2002
A telescoping method for double summations. Zbl 1108.33017
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping
10
2006
Linked partitions and linked cycles. Zbl 1206.05021
Chen, William Y. C.; Wu, Susan Y. J.; Yan, Catherine H.
10
2008
On the number of partitions with designated summands. Zbl 1295.05044
Chen, William Y. C.; Ji, Kathy Q.; Jin, Hai-Tao; Shen, Erin Y. Y.
10
2013
The Rogers-Ramanujan-Gordon theorem for overpartitions. Zbl 1268.05021
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H.
10
2013
Ramanujan-type congruences for overpartitions modulo 5. Zbl 1386.11115
Chen, William Y. C.; Sun, Lisa H.; Wang, Rong-Hua; Zhang, Li
10
2015
Interpolation for symmetric functions. Zbl 0857.05092
Chen, William Y. C.; Louck, James D.
9
1996
Crossings and nestings in tangled diagrams. Zbl 1163.05309
Chen, William Y. C.; Qin, Jing; Reidys, Christian M.
9
2008
The bivariate Rogers-Szegö polynomials. Zbl 1119.05011
Chen, William Y. C.; Saad, Husam L.; Sun, Lisa H.
9
2007
The ratio monotonicity of the Boros-Moll polynomials. Zbl 1221.33036
Chen, William Y. C.; Xia, Ernest X. W.
9
2009
The butterfly decomposition of plane trees. Zbl 1126.05038
Chen, William Y. C.; Li, Nelson Y.; Shapiro, Louis W.
8
2007
The reverse ultra log-concavity of the Boros-Moll polynomials. Zbl 1175.05019
Chen, William Y. C.; Gu, Cindy C. Y.
8
2009
The Abel-Zeilberger algorithm. Zbl 1231.33029
Chen, William Y. C.; Hou, Qing-Hu; Jin, Hai-Tao
8
2011
On Postnikov’s hook length formula for binary trees. Zbl 1152.05303
Chen, William Y. C.; Yang, Laura L. M.
8
2008
The limiting distribution of the coefficients of the \(q\)-Catalan numbers. Zbl 1146.05005
Chen, William Y. C.; Wang, Carol J.; Wang, Larry X. W.
8
2008
Finite differences of the logarithm of the partition function. Zbl 1401.11134
Chen, William Y. C.; Wang, Larry X. W.; Xie, Gary Y. B.
8
2016
Higher order Turán inequalities for the partition function. Zbl 1415.05020
Chen, William Y. C.; Jia, Dennis X. Q.; Wang, Larry X. W.
8
2019
Bijections behind the Ramanujan polynomials. Zbl 1074.05006
Chen, William Y. C.; Guo, Victor J. W.
7
2001
Necklaces, MSS sequences, and DNA sequences. Zbl 0866.05006
Chen, William Y. C.; Louck, James D.
7
1997
Applicability of the \(q\)-analogue of Zeilberger’s algorithm. Zbl 1126.33008
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping
7
2005
Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank. Zbl 1318.11131
Chen, William Y. C.; Ji, Kathy Q.; Zang, Wenston J. T.
7
2015
An operator approach to the al-Salam-Carlitz polynomials. Zbl 1310.33006
Chen, William Y. C.; Saad, Husam L.; Sun, Lisa H.
7
2010
The spt-function of Andrews. Zbl 1423.05012
Chen, William Y. C.
7
2017
Ramanujan-type congruences for overpartitions modulo 16. Zbl 1355.11101
Chen, William Y. C.; Hou, Qing-Hu; Sun, Lisa H.; Zhang, Li
7
2016
The minimum all-ones problem for trees. Zbl 1056.05133
Chen, William Y. C.; Li, Xueliang; Wang, Chao; Zhang, Xiaoyan
6
2004
The flagged Cauchy determinant. Zbl 1060.05095
Chen, William Y. C.; Krattenthaler, Christian; Yang, Arthur L. B.
6
2005
Induced cycle structures of the hyperoctahedral group. Zbl 0782.05039
Chen, William Y. C.
6
1993
Set systems with \(\mathcal L\)-intersections modulo a prime number. Zbl 1175.05005
Chen, William Y. C.; Liu, Jiuqiang
6
2009
Families of sets with intersecting clusters. Zbl 1228.05279
Chen, William Y. C.; Liu, Jiuqiang; Wang, Larry X. W.
6
2009
Identities derived from noncrossing partitions of type \(B\). Zbl 1225.05017
Chen, William Y. C.; Wang, Andrew Y. Z.; Zhao, Alina F. Y.
6
2011
Random \(k\)-noncrossing RNA structures. Zbl 1203.92026
Chen, William Y. C.; Han, Hillary S. W.; Reidys, Christian M.
6
2009
On 021-avoiding ascent sequences. Zbl 1267.05006
Chen, William Y. C.; Dai, Alvin Y. L.; Dokos, Theodore; Dwyer, Tim; Sagan, Bruce E.
6
2013
Proof of Moll’s minimum conjecture. Zbl 1259.05021
Chen, William Y. C.; Xia, Ernest X. W.
5
2013
Singletons and adjacencies of set partitions of type \(B\). Zbl 1290.05016
Chen, William Y. C.; Wang, David G. L.
5
2011
The combinatorics of a class of representation functions. Zbl 0943.05086
Chen, William Y. C.; Louck, James D.
5
1998
Adjacency and parity relations of words in discrete dynamical systems. Zbl 0970.37030
Chen, William Y. C.; Louck, James D.; Wang, Jun
5
2000
Matrix method for linear sequential dynamical systems on digraphs. Zbl 1071.05039
Chen, William Y. C.; Li, Xueliang; Zheng, Jie
5
2005
Pairs of noncrossing free Dyck paths and noncrossing partitions. Zbl 1189.05023
Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.; Stanley, Richard P.
5
2009
Semi-finite forms of bilateral basic hypergeometric series. Zbl 1085.33014
Chen, William Y. C.; Fu, Amy M.
5
2006
Finite form of the quintuple product identity. Zbl 1145.11036
Chen, William Y. C.; Chu, Wenchang; Gu, Nancy S. S.
5
2006
Old and young leaves on plane trees. Zbl 1083.05013
Chen, William Y. C.; Deutsch, Emeric; Elizalde, Sergi
5
2006
The limiting distribution of the \(q\)-derangement numbers. Zbl 1227.05070
Chen, William Y. C.; Wang, David G. L.
5
2010
Labeled partitions and the \(q\)-derangement numbers. Zbl 1228.05067
Chen, William Y. C.; Xu, Deheng
5
2008
A unification of two refinements of Euler’s partition theorem. Zbl 1218.05020
Chen, William Y. C.; Gao, Henry Y.; Ji, Kathy Q.; Li, Martin Y. X.
5
2010
Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Zbl 1277.91035
Chen, Y.; Li, B.
5
2011
2-log-concavity of the Boros-Moll polynomials. Zbl 1282.05019
Chen, William Y. C.; Xia, Ernest X. W.
5
2013
A coding algorithm for Rényi trees. Zbl 0773.05039
Chen, William Y. C.
5
1993
Derangements on the \(n\)-cube. Zbl 0774.05002
Chen, William Y. C.; Stanley, Richard P.
5
1993
On joint realization of (0,1) matrices. Zbl 0664.15006
Chen, Yongchuan; Shastri, Aditya
5
1989
Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences. Zbl 1368.11020
Chen, William Y. C.; Hou, Qing-Hu; Zeilberger, Doron
5
2016
The sorting index and permutation codes. Zbl 1259.05003
Chen, William Y. C.; Gong, George Z.; Guo, Jeremy J. F.
4
2013
A bijection between atomic partitions and unsplitable partitions. Zbl 1205.05015
Chen, William Y. C.; Li, Teresa X. S.; Wang, David G. L.
4
2011
The ratio monotonicity of the \(q\)-derangement numbers. Zbl 1290.05026
Chen, William Y. C.; Xia, Ernest X. W.
4
2011
Noncrossing trees and noncrossing graphs. Zbl 1098.05022
Chen, William Y. C.; Yan, Sherry H. F.
4
2006
Parity reversing involutions on plane trees and 2-Motzkin paths. Zbl 1082.05005
Chen, William Y. C.; Shapiro, Louis W.; Yang, Laura L. M.
4
2006
Hook length formulas for trees by Han’s expansion. Zbl 1180.05007
Chen, William Y. C.; Gao, Oliver X. Q.; Guo, Peter L.
4
2009
The skew Schubert polynomials. Zbl 1055.05149
Chen, William Y. C.; Yan, Guo-Guang; Yang, Arthur L. B.
4
2004
Brändén’s conjectures on the Boros-Moll polynomials. Zbl 1301.05007
Chen, William Y. C.; Dou, Donna Q. J.; Yang, Arthur L. B.
4
2013
Zeta functions and the log behaviour of combinatorial sequences. Zbl 1372.11022
Chen, William Y. C.; Guo, Jeremy J. F.; Wang, Larry X. W.
4
2015
The extended Zeilberger algorithm with parameters. Zbl 1305.33035
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping
4
2012
BG-ranks and 2-cores. Zbl 1111.05007
Chen, William Y. C.; Ji, Kathy Q.; Wilf, Herbert S.
4
2006
Converging to Gosper’s algorithm. Zbl 1173.33316
Chen, William Y. C.; Paule, Peter; Saad, Husam L.
4
2008
Non-terminating basic hypergeometric series and the \(q\)-Zeilberger algorithm. Zbl 1183.33029
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping
4
2008
Ramanujan-type congruences for broken 2-diamond partitions modulo 3. Zbl 1314.05019
Chen, William Y. C.; Fan, Anna R. B.; Yu, Rebecca T.
4
2014
An overpartition analogue of Bressoud’s theorem of Rogers-Ramanujan-Gordon type. Zbl 1310.11104
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H.
4
2015
The spt-crank for ordinary partitions. Zbl 1330.05020
Chen, William Y. C.; Ji, Kathy Q.; Zang, Wenston J. T.
4
2016
\(s\)-inversion sequences and \(P\)-partitions of type \(B\). Zbl 1344.05004
Chen, William Y. C.; Guo, Alan J. X.; Guo, Peter L.; Huang, Harry H. Y.; Liu, Thomas Y. H.
4
2016
An involution for the Gauss identity. Zbl 1024.05009
Chen, William Y. C.; Hou, Qing-Hu; Lascoux, Alain
3
2003
Cyclic tableaux and symmetric functions. Zbl 0824.05061
Chen, William Y. C.; Lih, Ko-Wei; Yeh, Yeong-Nan
3
1995
The role of \(\text{SU}(2) 3n\text{-}j\) coefficients in \(\text{SU}(3)\). Zbl 0942.81556
Biedenharn, L. C.; Chen, W. Y. C.; Lohe, M. A.; Louck, J. D.
3
1995
A generalization of the Littlewood-Richardson rule. Zbl 1066.05143
Chen, William Y. C.; Yan, Guo-Guang; Yang, Arthur L. B.
3
2005
The theory of compositionals. Zbl 0798.05075
Chen, William Y. C.
3
1993
Higher order Turán inequalities for the partition function. Zbl 1415.05020
Chen, William Y. C.; Jia, Dennis X. Q.; Wang, Larry X. W.
8
2019
Finding modular functions for Ramanujan-type identities. Zbl 1433.05019
Chen, William Y. C.; Du, Julia Q. D.; Zhao, Jack C. D.
1
2019
Context-free grammars for permutations and increasing trees. Zbl 1348.05007
Chen, William Y. C.; Fu, Amy M.
18
2017
The spt-function of Andrews. Zbl 1423.05012
Chen, William Y. C.
7
2017
Average size of a self-conjugate \((s,t)\)-core partition. Zbl 1331.05030
Chen, William Y. C.; Huang, Harry H. Y.; Wang, Larry X. W.
20
2016
Finite differences of the logarithm of the partition function. Zbl 1401.11134
Chen, William Y. C.; Wang, Larry X. W.; Xie, Gary Y. B.
8
2016
Ramanujan-type congruences for overpartitions modulo 16. Zbl 1355.11101
Chen, William Y. C.; Hou, Qing-Hu; Sun, Lisa H.; Zhang, Li
7
2016
Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences. Zbl 1368.11020
Chen, William Y. C.; Hou, Qing-Hu; Zeilberger, Doron
5
2016
The spt-crank for ordinary partitions. Zbl 1330.05020
Chen, William Y. C.; Ji, Kathy Q.; Zang, Wenston J. T.
4
2016
\(s\)-inversion sequences and \(P\)-partitions of type \(B\). Zbl 1344.05004
Chen, William Y. C.; Guo, Alan J. X.; Guo, Peter L.; Huang, Harry H. Y.; Liu, Thomas Y. H.
4
2016
Ramanujan-type congruences for overpartitions modulo 5. Zbl 1386.11115
Chen, William Y. C.; Sun, Lisa H.; Wang, Rong-Hua; Zhang, Li
10
2015
Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank. Zbl 1318.11131
Chen, William Y. C.; Ji, Kathy Q.; Zang, Wenston J. T.
7
2015
Zeta functions and the log behaviour of combinatorial sequences. Zbl 1372.11022
Chen, William Y. C.; Guo, Jeremy J. F.; Wang, Larry X. W.
4
2015
An overpartition analogue of Bressoud’s theorem of Rogers-Ramanujan-Gordon type. Zbl 1310.11104
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H.
4
2015
Vacillating Hecke tableaux and linked partitions. Zbl 1326.05165
Chen, William Y. C.; Guo, Peter L.; Pang, Sabrina X. M.
1
2015
Proof of a conjecture of Hirschhorn and Sellers on overpartitions. Zbl 1302.11084
Chen, William Y. C.; Xia, Ernest X. W.
16
2014
Infinitely log-monotonic combinatorial sequences. Zbl 1281.05019
Chen, William Y. C.; Guo, Jeremy J. F.; Wang, Larry X. W.
12
2014
Ramanujan-type congruences for broken 2-diamond partitions modulo 3. Zbl 1314.05019
Chen, William Y. C.; Fan, Anna R. B.; Yu, Rebecca T.
4
2014
Disposition polynomials and plane trees. Zbl 1284.05060
Chen, William Y. C.; Peng, Janet F. F.
3
2014
Ordered partitions avoiding a permutation pattern of length 3. Zbl 1284.05034
Chen, William Y. C.; Dai, Alvin Y. L.; Zhou, Robin D. P.
3
2014
Congruences of multipartition functions modulo powers of primes. Zbl 1360.11103
Chen, William Y. C.; Du, Daniel K.; Hou, Qing-Hu; Sun, Lisa H.
3
2014
On pattern avoiding alternating permutations. Zbl 1297.05010
Chen, Joanna N.; Chen, William Y. C.; Zhou, Robin D. P.
2
2014
On the positive moments of ranks of partitions. Zbl 1300.05033
Chen, William Y. C.; Ji, Kathy Q.; Shen, Erin Y. Y.
2
2014
On the number of partitions with designated summands. Zbl 1295.05044
Chen, William Y. C.; Ji, Kathy Q.; Jin, Hai-Tao; Shen, Erin Y. Y.
10
2013
The Rogers-Ramanujan-Gordon theorem for overpartitions. Zbl 1268.05021
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H.
10
2013
On 021-avoiding ascent sequences. Zbl 1267.05006
Chen, William Y. C.; Dai, Alvin Y. L.; Dokos, Theodore; Dwyer, Tim; Sagan, Bruce E.
6
2013
Proof of Moll’s minimum conjecture. Zbl 1259.05021
Chen, William Y. C.; Xia, Ernest X. W.
5
2013
2-log-concavity of the Boros-Moll polynomials. Zbl 1282.05019
Chen, William Y. C.; Xia, Ernest X. W.
5
2013
The sorting index and permutation codes. Zbl 1259.05003
Chen, William Y. C.; Gong, George Z.; Guo, Jeremy J. F.
4
2013
Brändén’s conjectures on the Boros-Moll polynomials. Zbl 1301.05007
Chen, William Y. C.; Dou, Donna Q. J.; Yang, Arthur L. B.
4
2013
Decomposition of triply rooted trees. Zbl 1267.05022
Chen, William Y. C.; Peng, Janet F. F.; Yang, Harold R. L.
3
2013
Proof of a positivity conjecture on Schur functions. Zbl 1259.05184
Chen, William Y. C.; Ren, Anne X. Y.; Yang, Arthur L. B.
2
2013
Linked partitions and permutation tableaux. Zbl 1295.05012
Chen, William Y. C.; Liu, Lewis H.; Wang, Carol J.
2
2013
\(q\)-hook length formulas for signed labeled forests. Zbl 1301.05020
Chen, William Y. C.; Gao, Oliver X. Q.; Guo, Peter L.
1
2013
Arithmetic properties of overpartition pairs. Zbl 1234.05032
Chen, William Y. C.; Lin, Bernard L. S.
14
2012
The extended Zeilberger algorithm with parameters. Zbl 1305.33035
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping
4
2012
Noncrossing linked partitions and large \((3,2)\)-Motzkin paths. Zbl 1243.05017
Chen, William Y. C.; Wang, Carol J.
3
2012
Partitions and partial matchings avoiding neighbor patterns. Zbl 1236.05016
Chen, William Y. C.; Fan, Neil J. Y.; Zhao, Alina F. Y.
2
2012
Partition identities for Ramanujan’s third-order mock theta functions. Zbl 1310.11103
Chen, William Y. C.; Ji, Kathy Q.; Liu, Eric H.
2
2012
Partially 2-colored permutations and the Boros-Moll polynomials. Zbl 1239.05010
Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.
2
2012
Oscillating rim hook tableaux and colored matchings. Zbl 1237.05011
Chen, William Y. C.; Guo, Peter L.
1
2012
The generating function for the Dirichlet series \(L_m(s)\). Zbl 1267.11017
Chen, William Y. C.; Fan, Neil J. Y.; Jia, Jeffrey Y. T.
1
2012
Combinatorial telescoping for an identity of Andrews on parity in partitions. Zbl 1268.05025
Chen, William Y. C.; Du, Daniel K.; Mei, Charles B.
1
2012
Euler’s partition theorem with upper bounds on multiplicities. Zbl 1253.05027
Chen, William Y. C.; Yee, Ae Ja; Zhu, Albert J. W.
1
2012
A Franklin type involution for squares. Zbl 1253.05026
Chen, William Y. C.; Liu, Eric H.
1
2012
The 2-log-convexity of the Apéry numbers. Zbl 1290.05025
Chen, William Y. C.; Xia, Ernest X. W.
15
2011
Recurrence relations for strongly \(q\)-log-convex polynomials. Zbl 1239.05190
Chen, William Y. C.; Wang, Larry X. W.; Yang, Arthur L. B.
12
2011
Congruences for bipartitions with odd parts distinct. Zbl 1227.11107
Chen, William Y. C.; Lin, Bernard L. S.
11
2011
The Abel-Zeilberger algorithm. Zbl 1231.33029
Chen, William Y. C.; Hou, Qing-Hu; Jin, Hai-Tao
8
2011
Identities derived from noncrossing partitions of type \(B\). Zbl 1225.05017
Chen, William Y. C.; Wang, Andrew Y. Z.; Zhao, Alina F. Y.
6
2011
Singletons and adjacencies of set partitions of type \(B\). Zbl 1290.05016
Chen, William Y. C.; Wang, David G. L.
5
2011
Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Zbl 1277.91035
Chen, Y.; Li, B.
5
2011
A bijection between atomic partitions and unsplitable partitions. Zbl 1205.05015
Chen, William Y. C.; Li, Teresa X. S.; Wang, David G. L.
4
2011
The ratio monotonicity of the \(q\)-derangement numbers. Zbl 1290.05026
Chen, William Y. C.; Xia, Ernest X. W.
4
2011
Anti-lecture Hall compositions and overpartitions. Zbl 1231.05015
Chen, William Y. C.; Sang, Doris D. M.; Shi, Diane Y. H.
3
2011
Permutation tableaux and the dashed permutation pattern 32-1. Zbl 1233.05006
Chen, William Y. C.; Liu, Lewis H.
3
2011
Labeled ballot paths and the Springer numbers. Zbl 1237.05003
Chen, William Y. C.; Fan, Neil J. Y.; Jia, Jeffrey Y. T.
3
2011
Interlacing log-concavity of the Boros-Moll polynomials. Zbl 1239.05024
Chen, William Y. C.; Wang, Larry X. W.; Xia, Ernest X. W.
3
2011
The method of combinatorial telescoping. Zbl 1232.05021
Chen, William Y. C.; Hou, Qing-Hu; Sun, Lisa H.
2
2011
Minimal permutations and 2-regular skew tableaux. Zbl 1230.05006
Chen, William Y. C.; Gu, Cindy C. Y.; Ma, Kevin J.
1
2011
Higher order log-concavity in Euler’s difference table. Zbl 1227.05010
Chen, William Y. C.; Gu, Cindy C. Y.; Ma, Kevin J.; Wang, Larry X. W.
1
2011
The \(q\)-log-convexity of the Narayana polynomials of type \(B\). Zbl 1230.05276
Chen, William Y. C.; Tang, Robert L.; Wang, Larry X. W.; Yang, Arthur L. B.
14
2010
Schur positivity and the \(q\)-log-convexity of the Narayana polynomials. Zbl 1230.05277
Chen, William Y. C.; Wang, Larry X. W.; Yang, Arthur L. B.
14
2010
An operator approach to the al-Salam-Carlitz polynomials. Zbl 1310.33006
Chen, William Y. C.; Saad, Husam L.; Sun, Lisa H.
7
2010
The limiting distribution of the \(q\)-derangement numbers. Zbl 1227.05070
Chen, William Y. C.; Wang, David G. L.
5
2010
A unification of two refinements of Euler’s partition theorem. Zbl 1218.05020
Chen, William Y. C.; Gao, Henry Y.; Ji, Kathy Q.; Li, Martin Y. X.
5
2010
Minimally intersecting set partitions of type B. Zbl 1193.05023
Chen, William Y. C.; Wang, David G. L.
3
2010
Major index for 01-fillings of moon polyominoes. Zbl 1231.05069
Chen, William Y. C.; Poznanović, Svetlana; Yan, Catherine H.; Yang, Arthur L. B.
3
2010
On the combinatorics of the Boros-Moll polynomials. Zbl 1230.05011
Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.
2
2010
Mixed statistics on 01-fillings of moon polyominoes. Zbl 1238.05020
Chen, William Y. C.; Wang, Andrew Y. Z.; Yan, Catherine H.; Zhao, Alina F. Y.
2
2010
Ratio monotonicity of polynomials derived from nondecreasing sequences. Zbl 1204.05025
Chen, William Y. C.; Yang, Arthur L. B.; Zhou, Elaine L. F.
2
2010
Extended Zeilberger’s algorithm for identities on Bernoulli and Euler polynomials. Zbl 1183.11011
Chen, William Y. C.; Sun, Lisa H.
15
2009
Derangement polynomials and excedances of type \(B\). Zbl 1188.05007
Chen, William Y. C.; Tang, Robert L.; Zhao, Alina F. Y.
13
2009
The ratio monotonicity of the Boros-Moll polynomials. Zbl 1221.33036
Chen, William Y. C.; Xia, Ernest X. W.
9
2009
The reverse ultra log-concavity of the Boros-Moll polynomials. Zbl 1175.05019
Chen, William Y. C.; Gu, Cindy C. Y.
8
2009
Set systems with \(\mathcal L\)-intersections modulo a prime number. Zbl 1175.05005
Chen, William Y. C.; Liu, Jiuqiang
6
2009
Families of sets with intersecting clusters. Zbl 1228.05279
Chen, William Y. C.; Liu, Jiuqiang; Wang, Larry X. W.
6
2009
Random \(k\)-noncrossing RNA structures. Zbl 1203.92026
Chen, William Y. C.; Han, Hillary S. W.; Reidys, Christian M.
6
2009
Pairs of noncrossing free Dyck paths and noncrossing partitions. Zbl 1189.05023
Chen, William Y. C.; Pang, Sabrina X. M.; Qu, Ellen X. Y.; Stanley, Richard P.
5
2009
Hook length formulas for trees by Han’s expansion. Zbl 1180.05007
Chen, William Y. C.; Gao, Oliver X. Q.; Guo, Peter L.
4
2009
On the combinatorics of the Pfaff identity. Zbl 1191.33001
Chen, William Y. C.; Pang, Sabrina X. M.
3
2009
Faulhaber’s theorem on power sums. Zbl 1220.11027
Chen, William Y. C.; Fu, Amy M.; Zhang, Iris F.
3
2009
The \(q\)-WZ method for infinite series. Zbl 1173.33317
Chen, William Y. C.; Xia, Ernest X. W.
2
2009
Efficient counting and asymptotics of \(k\)-noncrossing tangled diagrams. Zbl 1159.05027
Chen, William Y. C.; Qin, Jing; Reidys, Christian M.; Zeilberger, Doron
1
2009
Labeled partitions with colored permutations. Zbl 1189.05004
Chen, William Y. C.; Gao, Henry Y.; He, Jia
1
2009
Partitions of \(\mathbb Z_n\) into arithmetic progressions. Zbl 1234.05034
Chen, William Y. C.; Wang, David G. L.; Zhang, Iris F.
1
2009
Identities from weighted Motzkin paths. Zbl 1148.05007
Chen, William Y. C.; Yan, Sherry H. F.; Yang, Laura L. M.
12
2008
Linked partitions and linked cycles. Zbl 1206.05021
Chen, William Y. C.; Wu, Susan Y. J.; Yan, Catherine H.
10
2008
Crossings and nestings in tangled diagrams. Zbl 1163.05309
Chen, William Y. C.; Qin, Jing; Reidys, Christian M.
9
2008
On Postnikov’s hook length formula for binary trees. Zbl 1152.05303
Chen, William Y. C.; Yang, Laura L. M.
8
2008
The limiting distribution of the coefficients of the \(q\)-Catalan numbers. Zbl 1146.05005
Chen, William Y. C.; Wang, Carol J.; Wang, Larry X. W.
8
2008
Labeled partitions and the \(q\)-derangement numbers. Zbl 1228.05067
Chen, William Y. C.; Xu, Deheng
5
2008
Converging to Gosper’s algorithm. Zbl 1173.33316
Chen, William Y. C.; Paule, Peter; Saad, Husam L.
4
2008
Non-terminating basic hypergeometric series and the \(q\)-Zeilberger algorithm. Zbl 1183.33029
Chen, William Y. C.; Hou, Qing-Hu; Mu, Yan-Ping
4
2008
A major index for matchings and set partitions. Zbl 1184.05009
Chen, William Y. C.; Gessel, Ira M.; Yan, Catherine H.; Yang, Arthur L. B.
3
2008
Community structures of networks. Zbl 1203.90167
Chen, William Y. C.; Dress, Andreas W. M.; Yu, Winking Q.
2
2008
Riordan paths and derangements. Zbl 1147.05008
Chen, William Y. C.; Deng, Eva Y. P.; Yang, Laura L. M.
1
2008
Stanley’s zrank conjecture on skew partitions. Zbl 1145.05053
Chen, William Y. C.; Yang, Arthur L. B.
1
2008
Crossings and nestings of matchings and partitions. Zbl 1108.05012
Chen, William Y. C.; Deng, Eva Y. P.; Du, Rosena R. X.; Stanley, Richard P.; Yan, Catherine H.
80
2007
Matrix identities on weighted partial Motzkin paths. Zbl 1113.05005
Chen, William Y. C.; Li, Nelson Y.; Shapiro, Louis W.; Yan, Sherry H. F.
11
2007
...and 58 more Documents
all top 5

Cited by 831 Authors

65 Chen, William Yong-Chuan
17 Mansour, Toufik
16 Ma, Shi-Mei
15 Cao, Jian
15 Zhu, Baoxuan
14 Guo, Victor J. W.
14 Reidys, Christian Michael
14 Yeh, Yeong-Nan
12 Hou, Qinghu
12 Valverde, Jose C.
11 Ma, Jun
11 Wang, Larry X. W.
11 Xia, Ernest X. W.
10 Aledo, Juan Ángel
10 Lin, Bernard L. S.
10 Lin, Zhicong
10 Martinez, Silvia
9 Mu, Yanping
9 Yan, Sherry H. F.
9 Zeng, Jiang
9 Zhang, Zhizheng
8 Tang, Dazhao
8 Wang, Jun
8 Yang, Arthur L. B.
7 Fu, Amy M.
7 Jin, Emma Yu
7 Louck, James D.
7 Mao, Renrong
7 Sun, Yidong
7 Yan, Catherine Huafei
6 Chen, Shaoshi
6 Díaz, Luis Guillermo
6 Fu, Shishuo
6 Han, Guo-Niu
6 Kim, Byungchan
6 Pang, Sabrina X. M.
6 Sun, Lisa Hui
6 Wang, Yi
5 Chern, Shane
5 Elizalde, Sergi
5 Eu, Sen-Peng
5 Gu, Nancy Shan Shan
5 Guo, Peter L.
5 Kilic, Emrah
5 Sun, Brian Yi
5 Wang, David Guo-Liang
5 Wei, Chuanan
5 Xiong, Huan
5 Yang, Shengliang
4 Deveci, Ömür
4 Fang, Jianping
4 Halverson, Thomas
4 King, Ronald C.
4 Liu, Zhi-Guo
4 Méndez, Miguel A.
4 Munagi, Augustine O.
4 Poznanović, Svetlana
4 Sagan, Bruce Eli
4 Sang, Doris D. M.
4 Shi, Diane Y. H.
4 Vetrík, Tomáš
4 Wang, Ronghua
4 Zhou, Robin D. P.
3 Chan, Song Heng
3 Courtiel, Julien
3 Dou, Donna Quan Jie
3 Ehrenborg, Richard
3 El-Mikkawy, Moawwad E. A.
3 Fan, Neil J. Y.
3 Fiol, Miquel Angel
3 Foley, Angèle M.
3 Fusy, Éric
3 Gessel, Ira Martin
3 Gu, Cindy C. Y.
3 Hartke, Stephen G.
3 Ji, Kathy Qing
3 Kasraoui, Anisse
3 Keith, William J.
3 Kim, Gene B.
3 Krattenthaler, Christian Friedrich
3 Kuba, Markus F.
3 Li, Nelson Y.
3 Li, Xueliang
3 Liu, Eric H.
3 Liu, Jiuqiang
3 Liu, Lily Li
3 Lü, KeBo
3 Markenzon, Lilian
3 Matsumura, Tomoo
3 Mishna, Marni
3 Pan, Hao
3 Panholzer, Alois
3 Prodinger, Helmut
3 Qu, Ellen X. Y.
3 Rhoades, Robert C.
3 Savage, Carla D.
3 Schork, Matthias
3 Shattuck, Mark A.
3 Shiue, Peter Jau-Shyong
3 Šiagiová, Jana
...and 731 more Authors
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Cited in 153 Serials

72 Discrete Mathematics
64 Advances in Applied Mathematics
53 European Journal of Combinatorics
45 The Ramanujan Journal
39 Journal of Combinatorial Theory. Series A
26 Annals of Combinatorics
24 Journal of Mathematical Analysis and Applications
22 Linear Algebra and its Applications
20 International Journal of Number Theory
18 Applied Mathematics and Computation
18 Journal of Number Theory
17 Discrete Applied Mathematics
16 The Electronic Journal of Combinatorics
12 Journal of Difference Equations and Applications
11 Graphs and Combinatorics
11 Journal of Symbolic Computation
11 Journal of Algebraic Combinatorics
9 Theoretical Computer Science
8 Séminaire Lotharingien de Combinatoire
8 Acta Mathematica Sinica. English Series
7 Bulletin of the Australian Mathematical Society
7 Journal of Algebra
7 Journal of Computational and Applied Mathematics
7 Transactions of the American Mathematical Society
6 Communications in Algebra
6 Bulletin of Mathematical Biology
6 Advances in Mathematics
6 Integers
5 Rocky Mountain Journal of Mathematics
5 Proceedings of the American Mathematical Society
5 Journal of Inequalities and Applications
5 Journal of Integer Sequences
4 Applied Mathematics Letters
4 SIAM Journal on Discrete Mathematics
4 Turkish Journal of Mathematics
4 Journal of Mathematical Chemistry
4 Taiwanese Journal of Mathematics
4 Journal of Systems Science and Complexity
4 Science China. Mathematics
3 Computers & Mathematics with Applications
3 Journal of Mathematical Physics
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series B
3 Journal of Graph Theory
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Combinatorica
3 Aequationes Mathematicae
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Integral Transforms and Special Functions
3 Complexity
3 Journal of Theoretical Biology
3 Research in the Mathematical Sciences
2 American Mathematical Monthly
2 Mathematical Biosciences
2 Mathematics of Computation
2 Acta Arithmetica
2 Archiv der Mathematik
2 Information Sciences
2 Journal of Functional Analysis
2 Studies in Applied Mathematics
2 Random Structures & Algorithms
2 International Journal of Computer Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 The Australasian Journal of Combinatorics
2 Russian Journal of Mathematical Physics
2 Algebraic & Geometric Topology
2 Journal of Applied Mathematics
2 Central European Journal of Mathematics
2 Advances in Difference Equations
2 Journal of Statistical Mechanics: Theory and Experiment
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Open Mathematics
2 Research in Number Theory
1 Acta Informatica
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 The Annals of Probability
1 Automatica
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 Fundamenta Mathematicae
1 Journal of Computer and System Sciences
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Journal of Statistical Planning and Inference
1 Matematički Vesnik
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Results in Mathematics
1 Revista Colombiana de Matemáticas
1 Semigroup Forum
1 Bulletin of the Section of Logic
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Order
...and 53 more Serials
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Cited in 46 Fields

603 Combinatorics (05-XX)
254 Number theory (11-XX)
113 Special functions (33-XX)
49 Computer science (68-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
35 Group theory and generalizations (20-XX)
27 Biology and other natural sciences (92-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Probability theory and stochastic processes (60-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
19 Algebraic geometry (14-XX)
19 Difference and functional equations (39-XX)
13 Functions of a complex variable (30-XX)
12 Information and communication theory, circuits (94-XX)
11 Real functions (26-XX)
11 Numerical analysis (65-XX)
10 Associative rings and algebras (16-XX)
9 Field theory and polynomials (12-XX)
7 Nonassociative rings and algebras (17-XX)
7 Approximations and expansions (41-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Quantum theory (81-XX)
7 Operations research, mathematical programming (90-XX)
6 Commutative algebra (13-XX)
6 Integral transforms, operational calculus (44-XX)
6 Functional analysis (46-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Sequences, series, summability (40-XX)
5 Convex and discrete geometry (52-XX)
5 Manifolds and cell complexes (57-XX)
4 Category theory; homological algebra (18-XX)
4 Statistics (62-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematical logic and foundations (03-XX)
3 Algebraic topology (55-XX)
2 General algebraic systems (08-XX)
2 Topological groups, Lie groups (22-XX)
2 Operator theory (47-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Partial differential equations (35-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)

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