Lie algebraic approaches to classical partition identities. Zbl 0384.10008
Lepowsky, J.; Milne, S. |
|
1978
|
Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series. Zbl 0886.33014
Milne, Stephen C. |
|
1997
|
A q-analog of restricted growth functions, Dobinski’s equality, and Charlier polynomials. Zbl 0402.05007
Milne, Stephen C. |
|
1978
|
A Rogers-Ramanujan bijection. Zbl 0477.05009
Garsia, A. M.; Milne, S. C. |
|
1981
|
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315
Milne, Stephen C. |
|
2002
|
Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers. Zbl 0482.05012
Milne, Stephen C. |
|
1982
|
An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\). Zbl 0586.33011
Milne, S. C. |
|
1985
|
Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma. Zbl 0870.33012
Milne, Stephen C.; Lilly, Glenn M. |
|
1995
|
Method for constructing bijections for classical partition identities. Zbl 0464.05007
Garsia, A. M.; Milne, S. C. |
|
1981
|
Basic hypergeometric series very well-poised in U(n). Zbl 0607.33014
Milne, S. C. |
|
1987
|
The \(C_ \ell\) Bailey transform and Bailey lemma. Zbl 0805.33019
Lilly, Glenn M.; Milne, Stephen C. |
|
1993
|
The \(A_ l\) and \(C_ l\) Bailey transform and lemma. Zbl 0757.33008
Milne, Stephen C.; Lilly, Glenn M. |
|
1992
|
A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions. Zbl 0586.33014
Milne, S. C. |
|
1985
|
Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn’s G-functions. Zbl 0451.33010
Milne, Stephen C. |
|
1980
|
Generalized bibasic hypergeometric series and their \(U(n)\) extensions. Zbl 0885.33011
Bhatnagar, Gaurav; Milne, Stephen C. |
|
1997
|
A q-analog of the Gauss summation theorem for hypergeometric series in U(n). Zbl 0658.33005
Milne, S. C. |
|
1988
|
\(U(n)\) very-well-poised \(_{10}\phi_ 9\) transformations. Zbl 0870.33013
Milne, Stephen C.; Newcomb, John W. |
|
1996
|
Schur functions, Good’s identity, and hypergeometric series well poised in SU(n). Zbl 0516.33015
Gustafson, R. A.; Milne, S. C. |
|
1983
|
Special functions and group theory in theoretical physics. Zbl 0561.33012
Bindenharn, L. C.; Gustafson, R. A.; Lohe, M. A.; Louck, J. D.; Milne, S. C. |
|
1984
|
The invariant polynomials characterizing \(U(n)\) tensor operators \(<p,q,\dots ,p,0,\dots ,0>\) having maximal null space. Zbl 0457.33010
Biedenharn, L.; Holman, W. III; Milne, S. |
|
1980
|
Peano curves and smoothness of functions. Zbl 0449.26015
Milne, Stephen C. |
|
1980
|
Lie algebras and classical partition identities. Zbl 0379.17003
Lepowsky, J.; Milne, S. |
|
1978
|
An umbral calculus for polynomials characterizing U(n) tensor operators. Zbl 0534.33010
Biedenharn, L. C.; Gustafson, R. A.; Milne, S. C. |
|
1984
|
New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function. Zbl 1125.11346
Milne, Stephen C. |
|
1996
|
A new symmetry for Biedenharn’s G-functions and classical hypergeometric series. Zbl 0586.33013
Gustafson, R. A.; Milne, S. C. |
|
1985
|
A \(q\)-analog of a Whipple’s transformation for hypergeometric series in \(U(n)\). Zbl 0809.33010
Milne, S. C. |
|
1994
|
A characterization of inverse relations. Zbl 1061.05500
Milne, Stephen C.; Bhatnagar, Gaurav |
|
1998
|
A new symmetry related to SU(n) for clasical basic hypergeometric series. Zbl 0586.33012
Milne, S. C. |
|
1985
|
Schur functions and the invariant polynomials characterizing U(n) tensor operators. Zbl 0534.33009
Gustafson, R. A.; Milne, S. C. |
|
1983
|
A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\). Zbl 0586.33010
Milne, S. C. |
|
1985
|
Multiple \(q\)-series and \(U(n)\) generalizations of Ramanujan’s \(_ 1\Psi _ 1\) sum. Zbl 0653.10012
Milne, S. C. |
|
1988
|
Transformations of \(U(n+1)\) multiple basic hypergeometric series. Zbl 1010.33012
Milne, Stephen C. |
|
2001
|
The \(C_ \ell\) Rogers-Selberg identity. Zbl 0804.33016
Milne, Stephen C. |
|
1994
|
Restricted growth functions and incidence relations of the lattice of partitions of an n-set. Zbl 0382.05009
Milne, Stephen |
|
1977
|
A \(U(n)\) generalization of Ramanujan’s \(_1\Psi_1\) summation. Zbl 0594.33008
Milne, S. C. |
|
1986
|
Summation theorems for basic hypergeometric series of Schur function argument. Zbl 0788.33010
Milne, S. C. |
|
1992
|
A multiple series transformation of the very well poised \(_{2k+4}\Phi_{2k+4}\). Zbl 0405.40004
Milne, Stephen C. |
|
1980
|
Classical partition functions and the \(U(n+1)\) Rogers-Selberg identity. Zbl 0763.05099
Milne, S. C. |
|
1992
|
Mappings of subspaces into subsets. Zbl 0486.05008
Milne, Stephen C. |
|
1982
|
The multidimensional \(_ 1\Psi _ 1\) sum and Macdonald identities for \(A_{\ell}^{(1)}\). Zbl 0677.33004
Milne, S. C. |
|
1989
|
\(U(n)\) Wigner coefficients, the path sum formula, and invariant G-functions. Zbl 0586.33015
Biedenharn, L. C.; Gustafson, R. A.; Milne, S. C. |
|
1985
|
A new \(A_n\) extension of Ramanujan’s \(_1\psi_1\) summation with applications to multilateral \(A_n\) series. Zbl 1059.33025
Milne, Stephen C.; Schlosser, Michael |
|
2002
|
Some new infinite families of \(\eta\)-function identities. Zbl 0968.33008
Leininger, Verne E.; Milne, Stephen C. |
|
1999
|
Inversion properties of triangular arrays of numbers. Zbl 0481.05008
Milne, Stephen C. |
|
1981
|
A q-analog of transposition symmetry for invariant G-functions. Zbl 0587.33010
Gustafson, R. A.; Milne, S. C. |
|
1986
|
A \(q\)-analog of the balanced \(_ 3F_ 2\) summation theorem for hypergeometric series in \(U(n)\). Zbl 0791.33016
Milne, S. C. |
|
1993
|
A new \(U(n)\) generalization of the Jacobi triple product identity. Zbl 0960.33009
Milne, Stephen C. |
|
2000
|
Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\). Zbl 0936.33010
Leininger, Verne E.; Milne, Stephen C. |
|
1999
|
Nonterminating q-Whipple transformations for basic hypergeometric series in U(n). Zbl 1245.33018
Milne, Stephen C.; Newcomb, John W. |
|
2012
|
Hankel determinants of Eisenstein series. Zbl 1040.11026
Milne, Stephen C. |
|
2001
|
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. With a preface by George E. Andrews.
Reprinted from Ramanujan J. 6, No. 1(2002). Zbl 1125.11316
Milne, Stephen C. |
|
2002
|
A triple product identity for Schur functions. Zbl 0763.33008
Milne, S. C. |
|
1991
|
Nonterminating q-Whipple transformations for basic hypergeometric series in U(n). Zbl 1245.33018
Milne, Stephen C.; Newcomb, John W. |
|
2012
|
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Zbl 1125.11315
Milne, Stephen C. |
|
2002
|
A new \(A_n\) extension of Ramanujan’s \(_1\psi_1\) summation with applications to multilateral \(A_n\) series. Zbl 1059.33025
Milne, Stephen C.; Schlosser, Michael |
|
2002
|
Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. With a preface by George E. Andrews.
Reprinted from Ramanujan J. 6, No. 1(2002). Zbl 1125.11316
Milne, Stephen C. |
|
2002
|
Transformations of \(U(n+1)\) multiple basic hypergeometric series. Zbl 1010.33012
Milne, Stephen C. |
|
2001
|
Hankel determinants of Eisenstein series. Zbl 1040.11026
Milne, Stephen C. |
|
2001
|
A new \(U(n)\) generalization of the Jacobi triple product identity. Zbl 0960.33009
Milne, Stephen C. |
|
2000
|
Some new infinite families of \(\eta\)-function identities. Zbl 0968.33008
Leininger, Verne E.; Milne, Stephen C. |
|
1999
|
Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\). Zbl 0936.33010
Leininger, Verne E.; Milne, Stephen C. |
|
1999
|
A characterization of inverse relations. Zbl 1061.05500
Milne, Stephen C.; Bhatnagar, Gaurav |
|
1998
|
Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series. Zbl 0886.33014
Milne, Stephen C. |
|
1997
|
Generalized bibasic hypergeometric series and their \(U(n)\) extensions. Zbl 0885.33011
Bhatnagar, Gaurav; Milne, Stephen C. |
|
1997
|
\(U(n)\) very-well-poised \(_{10}\phi_ 9\) transformations. Zbl 0870.33013
Milne, Stephen C.; Newcomb, John W. |
|
1996
|
New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function. Zbl 1125.11346
Milne, Stephen C. |
|
1996
|
Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma. Zbl 0870.33012
Milne, Stephen C.; Lilly, Glenn M. |
|
1995
|
A \(q\)-analog of a Whipple’s transformation for hypergeometric series in \(U(n)\). Zbl 0809.33010
Milne, S. C. |
|
1994
|
The \(C_ \ell\) Rogers-Selberg identity. Zbl 0804.33016
Milne, Stephen C. |
|
1994
|
The \(C_ \ell\) Bailey transform and Bailey lemma. Zbl 0805.33019
Lilly, Glenn M.; Milne, Stephen C. |
|
1993
|
A \(q\)-analog of the balanced \(_ 3F_ 2\) summation theorem for hypergeometric series in \(U(n)\). Zbl 0791.33016
Milne, S. C. |
|
1993
|
The \(A_ l\) and \(C_ l\) Bailey transform and lemma. Zbl 0757.33008
Milne, Stephen C.; Lilly, Glenn M. |
|
1992
|
Summation theorems for basic hypergeometric series of Schur function argument. Zbl 0788.33010
Milne, S. C. |
|
1992
|
Classical partition functions and the \(U(n+1)\) Rogers-Selberg identity. Zbl 0763.05099
Milne, S. C. |
|
1992
|
A triple product identity for Schur functions. Zbl 0763.33008
Milne, S. C. |
|
1991
|
The multidimensional \(_ 1\Psi _ 1\) sum and Macdonald identities for \(A_{\ell}^{(1)}\). Zbl 0677.33004
Milne, S. C. |
|
1989
|
A q-analog of the Gauss summation theorem for hypergeometric series in U(n). Zbl 0658.33005
Milne, S. C. |
|
1988
|
Multiple \(q\)-series and \(U(n)\) generalizations of Ramanujan’s \(_ 1\Psi _ 1\) sum. Zbl 0653.10012
Milne, S. C. |
|
1988
|
Basic hypergeometric series very well-poised in U(n). Zbl 0607.33014
Milne, S. C. |
|
1987
|
A \(U(n)\) generalization of Ramanujan’s \(_1\Psi_1\) summation. Zbl 0594.33008
Milne, S. C. |
|
1986
|
A q-analog of transposition symmetry for invariant G-functions. Zbl 0587.33010
Gustafson, R. A.; Milne, S. C. |
|
1986
|
An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\). Zbl 0586.33011
Milne, S. C. |
|
1985
|
A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions. Zbl 0586.33014
Milne, S. C. |
|
1985
|
A new symmetry for Biedenharn’s G-functions and classical hypergeometric series. Zbl 0586.33013
Gustafson, R. A.; Milne, S. C. |
|
1985
|
A new symmetry related to SU(n) for clasical basic hypergeometric series. Zbl 0586.33012
Milne, S. C. |
|
1985
|
A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\). Zbl 0586.33010
Milne, S. C. |
|
1985
|
\(U(n)\) Wigner coefficients, the path sum formula, and invariant G-functions. Zbl 0586.33015
Biedenharn, L. C.; Gustafson, R. A.; Milne, S. C. |
|
1985
|
Special functions and group theory in theoretical physics. Zbl 0561.33012
Bindenharn, L. C.; Gustafson, R. A.; Lohe, M. A.; Louck, J. D.; Milne, S. C. |
|
1984
|
An umbral calculus for polynomials characterizing U(n) tensor operators. Zbl 0534.33010
Biedenharn, L. C.; Gustafson, R. A.; Milne, S. C. |
|
1984
|
Schur functions, Good’s identity, and hypergeometric series well poised in SU(n). Zbl 0516.33015
Gustafson, R. A.; Milne, S. C. |
|
1983
|
Schur functions and the invariant polynomials characterizing U(n) tensor operators. Zbl 0534.33009
Gustafson, R. A.; Milne, S. C. |
|
1983
|
Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers. Zbl 0482.05012
Milne, Stephen C. |
|
1982
|
Mappings of subspaces into subsets. Zbl 0486.05008
Milne, Stephen C. |
|
1982
|
A Rogers-Ramanujan bijection. Zbl 0477.05009
Garsia, A. M.; Milne, S. C. |
|
1981
|
Method for constructing bijections for classical partition identities. Zbl 0464.05007
Garsia, A. M.; Milne, S. C. |
|
1981
|
Inversion properties of triangular arrays of numbers. Zbl 0481.05008
Milne, Stephen C. |
|
1981
|
Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn’s G-functions. Zbl 0451.33010
Milne, Stephen C. |
|
1980
|
The invariant polynomials characterizing \(U(n)\) tensor operators \(<p,q,\dots ,p,0,\dots ,0>\) having maximal null space. Zbl 0457.33010
Biedenharn, L.; Holman, W. III; Milne, S. |
|
1980
|
Peano curves and smoothness of functions. Zbl 0449.26015
Milne, Stephen C. |
|
1980
|
A multiple series transformation of the very well poised \(_{2k+4}\Phi_{2k+4}\). Zbl 0405.40004
Milne, Stephen C. |
|
1980
|
Lie algebraic approaches to classical partition identities. Zbl 0384.10008
Lepowsky, J.; Milne, S. |
|
1978
|
A q-analog of restricted growth functions, Dobinski’s equality, and Charlier polynomials. Zbl 0402.05007
Milne, Stephen C. |
|
1978
|
Lie algebras and classical partition identities. Zbl 0379.17003
Lepowsky, J.; Milne, S. |
|
1978
|
Restricted growth functions and incidence relations of the lattice of partitions of an n-set. Zbl 0382.05009
Milne, Stephen |
|
1977
|