A hyper-geometric approach to the BMV-conjecture

Monatshefte fur Mathematik

Volumn 146, Issue 3, 2005, Pages 179-201

  Drmota, Michael ^a   Schachermayer, Walter ^a   Teichmann, Josef ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Bessis Moussa Villani conjecture; Dyson expansion; Hyper geometric function; Laplace transform

Indexed keywords

EID: 27644581637     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-005-0318-z     Document Type: Article

References (11)

1. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (1972) In: Abramowitz M, Stegun IA (eds) New York: Dover
2. Bessis D, Moussa P, Villani M (1975) Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics. J Math Phys 16: 2318-2325
3. Drmota M, Schachermayer W, Teichmann J (2005) A stochastic approach to the Dyson expansion (Working Paper)
4. Fannes M, Petz D (2003) Perturbation of Wigner matrices and a conjecture. Proc Amer Math Soc 131: 1981-1988
5. Fannes M, Werner R (2000) On some inequalities for the trace of exponentials (Working Paper)
6. Feller W (1966) An Introduction to Probability Theory and Its Applications, Vol. II. New York: Wiley
7. Jacquet P, Szpankowski W (2002) A combinatorial problem arising in information theory: Precise minimax redundancy for Markov sources, In: Chaubin B (ed) Mathematics and Computer Science II, pp 311-328, Basel: Birkhäuser
8. Kriegl A, Michor PW (1997) The Convenient Setting of Global Analysis. Providence, RI: Amer Math Soc
9. Lieb E, Seiringer R (2004) Equivalent forms of the Bessis-Moussa-Villani conjecture. J Stat Phys 115: 185-190
10. A-λB) as a Laplace transform. Rev Math Phys 12: 621-655
11. Werner R (2003) Open problem list, "www.imaph.tu-bs.de/home/werner/ problems.html"