Michael Schlosser's Home Page
Dr. Michael J. Schlosser
_{X}
Fakultät für
Mathematik
Universität Wien
OskarMorgensternPlatz 1
A1090 Wien
Austria
telephone:

(+431) 427750455

fax:

(+431) 4277850455

email:


Vorlesungen im
laufenden
Semester
(vergangenen
Semester).
Courses in the
current
semester (last
semester).
Sprechstunden nach Vereinbarung,
OMP1, Zimmer 11.124
Office hours by appointment,
OMP1, Room 11.124
Scientific publications (in reverse chronological order):
 Papers:

The major index generating function of standard Young tableaux of shapes
of the form "staircase minus rectangle" (jointly with
Christian
Krattenthaler)
[in Ramanujan 125 (K. Alladi
and F. Garvan, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 627 (2014), 111122]

On the work of Igor Frenkel (jointly with
John Duncan,
Pavel Etingof,
Ivan Ip,
Mikhail Khovanov,
Matvei Libine,
Anthony Licata, and
Alistair Savage)
[in Perspectives in Representation Theory
(P. Etingof,
M. Khovanov, and
A. Savage, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 610 (2014), 121]

Multiple hypergeometric series  Appell series and beyond
[in Computer Algebra in Quantum Field Theory:
Integration, Summation and Special Functions
(J. Blümlein and
C. Schneider, eds.),
Texts & Monographs in
Symbolic Computation,
SpringerVerlag,
Heidelberg/Vienna, 2013; pp. 305324]

On an identity by Chaundy and Bullard. II. More history
(jointly with
Tom H. Koornwinder)
[Indag.
Math. (N.S.) 24 (1) (2013), 174180]

New curious bilateral qseries identities
(jointly with
Frédéric
Jouhet)
[Axioms
2012, 1 (3), 365371]

A noncommutative weightdependent generalization of the binomial theorem
[23 pp., preprint]

Recurrence formulas for Macdonald polynomials of type A
(jointly with
Michel Lassalle)
[J.
Algebraic Combin. 32 (1) (2010), 113131]

Noncommutative hypergeometric and basic hypergeometric equations
(jointly with
Alessandro Conflitti)
[J.
Nonlinear Math. Phys. 17 (4) (2010), 429443]

Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald
polynomial conjecture (jointly with Robin Langer and
S. Ole Warnaar)
[SIGMA
5 (2009), 055, 20 pp.]

Multilateral inversion of A_{r},
C_{r} and D_{r}
basic hypergeometric series
[Ann.
Comb. 13 (2009), 341363]

On an identity by Chaundy and Bullard. I
(jointly with
Tom H. Koornwinder)
[Indag.
Math. (N.S.) 19 (2) (2008), 239261]

A Taylor expansion theorem for an elliptic extension
of the AskeyWilson operator
[in Special
Functions and Orthogonal Polynomials
(D. Dominici and
R. S. Maier, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 471 (2008), 175186]

A new multivariable _{6}ψ_{6} summation formula
[Ramanujan
J. 17 (3) (2008), 305319]

Curious extensions of Ramanujan's _{1}ψ_{1}
summation formula
(jointly with
Victor J. W. Guo)
[J. Math. Anal. Appl. 334 (1) (2007),
393403]

Macdonald polynomials and multivariable basic hypergeometric series
[Vadim
Kuznetsov Memorial Issue on Integrable Systems and Related
Topics,
SIGMA
3 (2007), 056, 30 pp.]

Elliptic enumeration of nonintersecting lattice paths
[J. Combin. Theory Ser. A 114 (3) (2007),
505521]

Some curious qseries expansions and beta integral
evaluations
(jointly with
George Gasper)
[Ramanujan
J. 13 (13) (2007), 229242]

Elliptic determinant evaluations and the Macdonald identities for affine
root systems
(jointly with
Hjalmar Rosengren)
[Compos. Math.
142 (4) (2006), 937961]

Noncommutative extensions of Ramanujan's
_{1}ψ_{1} summation
[Electron. Trans.
Numer. Anal. 24 (2006), 94102]

Summation formulae for noncommutative hypergeometric series
[35 pp., preprint]

Explicit computation of the q,tLittlewoodRichardson
coefficients
[Proceedings
of the Workshop on Jack,
HallLittlewood and Macdonald polynomials (V. Kuznetsov
and S. Sahi, eds.) Edinburgh, ICMS, Sept. 2326, 2003;
Contemp.
Math. 417 (2006), 335343]

Inversion of the Pieri formula for Macdonald polynomials
(jointly with
Michel Lassalle)
[Adv.
Math. 202 (2) (2006), 289325]

Summation, transformation, and expansion formulas for
multibasic theta hypergeometric series
(jointly with
George Gasper)
[Adv. Stud. Contemp. Math. (Kyungshang) 11 (2005), no. 1, 6784;
also in
Proceedings
of the Workshop Elliptic
Integrable Systems (M. Noumi
and K. Takasaki,
eds.) Kyoto,
RIMS, 2004;
Rokko Lectures
in Mathematics 18 (2005), 117]

Another proof of Bailey's _{6}ψ_{6} summation
(jointly with
Frédéric
Jouhet)
[Aequationes
Math. 70 (12) (2005), 4350]

On Warnaar's elliptic matrix inversion and KarlssonMintontype elliptic
hypergeometric series
(jointly with
Hjalmar Rosengren)
[J.
Comput. Appl. Math. 178 (2005), 377391]

AbelRothe type generalizations of Jacobi's triple product identity
[in Theory
and Applications of Special Functions. A Volume Dedicated to Mizan Rahman
(M. E. H. Ismail and
E. Koelink, eds.),
Dev.
Math. 13 (2005), 383400]

qAnalogues of the sums of consecutive integers, squares, cubes,
quarts and quints
[Electron. J. Combin.
11 (1) (2004), #R71, 12 pp.]

Some curious extensions of the classical beta integral
evaluation
[in Mathematics
and Computer Science, III (M. Drmota,
P. Flajolet,
D. Gardy,
B. Gittenberger, eds.)
Vienna, 2004; Trends
Math., Birkhäuser, Basel, 2004, pp. 5968]

An analytic formula for Macdonald polynomials
(jointly with
Michel Lassalle)
[C.
R. Math. Acad. Sci. Paris 337 (9) (2003), 569574]

Summations and transformations for multiple basic and
elliptic hypergeometric series by determinant evaluations
(jointly with
Hjalmar Rosengren)
[Indag.
Math. (N.S.) 14 (2003), 483514]

A nonterminating _{8}φ_{7} summation for the root system
C_{r}
[J.
Comput. Appl. Math. 160 (2003), 283296]

Inversion of bilateral basic hypergeometric series
[Electron. J. Combin.
10 (2003), #R10, 27 pp.]

A multidimensional generalization of Shukla's
_{8}ψ_{8} summation
[Constr.
Approx. 19 (2003), 163178]

Elementary derivations of identities for bilateral basic hypergeometric
series
[Selecta
Math. (N.S.) 9 (2003) 1, 119159]

A new A_{n} extension of Ramanujan's
_{1}ψ_{1}
summation with applications to multilateral basic hypergeometric
series (jointly with
Stephen C. Milne)
[in Special Functions 2000
(J. Bustoz and
S. K. Suslov, eds.),
Rocky Mount. J. Math. 32 (2) (2002), 759792]

A simple proof of Bailey's verywellpoised
_{6}ψ_{6} summation
[Proc.
Amer. Math. Soc. 130 (2002), 11131123]

Multilateral transformations of qseries with quotients of parameters
that are nonnegative integral powers of q
[in qSeries
with Applications to Combinatorics, Number Theory, and Physics
(B. C. Berndt and
K. Ono, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 291 (2001), 203227]

A new multidimensional matrix inversion in A_{r}
[in qSeries from a Contemporary Perspective
(M. E. H. Ismail and
D. Stanton, eds.),
Amer. Math. Soc.,
Providence, R. I., Contemp.
Math. 254 (2000), 413432]

Summation theorems for multidimensional basic
hypergeometric series by determinant evaluations
[Discrete
Math. 210 (2000), 151169]

Some new applications of matrix inversions in A_{r}
[Ramanujan
J. 3 (1999), 405461]

A new multidimensional matrix inverse with applications to multiple
qseries (jointly with
Christian
Krattenthaler)
[(H. W. Gould Anniversary Volume)
Discrete
Math. 204 (1999), 249279; selected to be included in
Discrete
Math., spec. vol. ``Editors' Choice, Edition 1999'']

Multidimensional matrix inversions and multiple basic hypergeometric
series associated to root systems
[in Special
functions and differential equations
(K. Srinivasa Rao,
R. Jagannathan,
G. Vanden Berghe, and
J. Van der Jeugt, eds.),
Proceedings of a workshop, WSSF '97, Madras, India, January 1324, 1997;
Allied Publ., New Delhi (1998), 2530]

C_{n} and D_{n} verywellpoised
_{10}φ_{9}
transformations (jointly with Gaurav Bhatnagar)
[Constr.
Approx. 14 (1998), 531567]

Multidimensional matrix inversions and
A_{r} and D_{r}
basic hypergeometric series
[Ramanujan
J. 1 (1997), 243274]

Multidimensional matrix inversions
[Sém. Lothar. Combin.
35 (1995), B35g, 24 pp.]
 Books edited:

Ramanujan
Rediscovered (jointly with
N. D. Baruah,
B. C. Berndt,
S. Cooper and
T. Huber),
Proceedings of a Conference on Elliptic Functions, Partitions, and
qSeries in Memory of K. Venkatachaliengar, Bangalore (15 June, 2009);
Ramanujan Mathematical Society
Lecture Notes Series,
Vol.
14, 2010 (also published by International Press, Somerville, MA, USA, 2012)
 Theses:
Editorial boards:
Ph.D. students supervised:
Curiosities:

Would you like to see me
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against one of today's best players of the world?
However, I am (or was) also able to win games
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there.