Stephen Milne
American mathematician
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Mathematics
Stephen Milne 's Degrees
- Bachelors Mathematics Stanford University
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Why Is Stephen Milne Influential?
(Suggest an Edit or Addition)According to Wikipedia, Stephen Carl Milne is an American mathematician who works in the fields of analysis, analytic number theory, and combinatorics. Milne received a bachelor's degree from San Diego State University in 1972 and a Ph.D. from the University of California, San Diego in 1976. His thesis, Peano curves and smoothness of functions, was written under Adriano M. Garsia. From 1976 to 1978 he was a Gibbs Instructor at Yale University. Milne taught at Texas A&M University, UCSD, the University of Kentucky, and Ohio State University, where he became in 1982 an associate professor and in 1985 a full professor.
Stephen Milne 's Published Works
Published Works
- Lie algebraic approaches to classical partition identities (1978) (147)
- A $q$-analog of restricted growth functions, Dobinski’s equality, and Charlier polynomials (1978) (113)
- Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions (2000) (108)
- A Rogers-Ramanujan Bijection (1981) (101)
- Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers (1982) (91)
- An elementary proof of the Macdonald identities for (1985) (70)
- Consequences of the Al and Cl Bailey transform and Bailey lemma (1995) (69)
- Method for constructing bijections for classical partition identities. (1981) (64)
- Balanced3ϕ2Summation Theorems forU(n) Basic Hypergeometric Series (1997) (54)
- Peano curves and smoothness of functions (1980) (52)
- Basic hypergeometric series very well-poised in U(n) (1987) (46)
- Inversion Properties of Triangular Arrays of Numbers (1981) (43)
- Generalized Bibasic Hypergeometric Series and TheirU(n) Extensions (1997) (43)
- Summation Theorems for Basic Hypergeometric Series of Schur Function Argument (1992) (39)
- New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function. (1996) (36)
- TheCℓ Bailey transform and Bailey lemma (1993) (36)
- U ( n ) very-well-posed 10 p 9 transformations (1996) (35)
- A q-analog of hypergeometric series well-poised in tSU(n) and invariant G-functions (1985) (34)
- A q-analog of the Gauss summation theorem for hypergeometric series in U(n) (1988) (32)
- Schur functions, Good's identity, and hypergeometric series well poised in SU(n) (1983) (30)
- Special Functions and Group Theory in Theoretical Physics (1984) (29)
- Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions (1980) (28)
- The $\bal$\ and $\bcl$\ Bailey Transform and Lemma (1992) (28)
- A q-Analog of a Whipple′s Transformation for Hypergeometric Series in U(n) (1994) (28)
- Restricted growth functions and incidence relations of the lattice of partitions of an n-set (1977) (28)
- A characterization of inverse relations (1998) (27)
- Lie algebras and classical partition identities. (1978) (24)
- A U(n) generalization of Ramanujan's 1Ψ1 summation (1986) (23)
- The C l Rogers-Selberg identity (1994) (22)
- Transformations of U(n + 1) Multiple Basic Hypergeometric Series (2001) (21)
- Classical partition functions and the U(n+1) Rogers-Selberg identity (1992) (20)
- A New $A_n$ Extension of Ramanujan's ${}_1\psi_1$ Summation with Applications to Multilateral An Series (2000) (19)
- An umbral calculus for polynomials characterizing U(n) tensor operators (1984) (18)
- The invariant polynomials characterizing U(n) tensor operators ‹p, q,..., q, 0,..., 0› having maximal null space (1980) (18)
- A multiple series transformation of the very well poised $_{2k+4}\Psi_{2k+4}$. (1980) (17)
- A new symmetry related to SU(n) for classical basic hypergeometric series (1985) (17)
- A q-analog of the 5F4(1) summation theorem for hypergeometric series well-poised in SU(n) (1985) (16)
- A new symmetry for Biedenharn's G-functions and classical hypergeometric series (1985) (15)
- Mappings of Subspaces into Subsets (1982) (15)
- Schur functions and the invariant polynomials characterizing U(n) tensor operators (1983) (15)
- A q-Analog of the Balanced 3F2 Summation Theorem for Hypergeometric Series in U(n) (1993) (9)
- U(n) Wigner coefficients, the path sum formula, and invariant G-functions (1985) (8)
- A triple product identity for Schur functions (1991) (7)
- Expansions for (q)infinityn2+2n and basic hypergeometric series in U(n) (1999) (6)
- Some new infinite families of $\eta$-function identities (1999) (6)
- A q-analog of transposition symmetry for invariant G-functions (1986) (6)
- An umbral calculus for polynomials characterizing tensor products. (1984) (4)
- Hankel Determinants of Eisenstein Series (2000) (4)
- Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) (2012) (4)
- A Generalization of Andrews' Reduction Formula for the Rogers-Selberg Functions (1982) (3)
- SOME NEW INFINITE FAMILIES OF ^-FUNCTION IDENTITIES (2016) (2)
- Weighted-Inversion Statistics and Their Symmetry Groups (2000) (1)
- The Bose Molecule in One Dimension (2000) (1)
- The Fourier expansions of the classical Eisenstein (2000) (0)
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