Sastanak Odeljenja za matematiku

Detaljnije: Naredni Sastanak Odeljenja za matematiku održaće se u petak, 01.04.2011. u 14 časova u sali 2 SANU.

Predavač: Matti Vuorinen, University of Turku, Finland

Naslov predavanja: CONFORMAL INVARIANTS, SPECIAL FUNCTIONS, AND QUASICONFORMAL MAPS

Sadržaj: This talk will be a survey of some aspects of quasiconformal mapping theory where conformal invariants play a key role. Because many canonical conformal maps are given by special functions, such as elliptic integrals and hypergeometric functions, special functions have a key role in this study. A main problem is to study the case when quasiconformal maps approach conformal maps i.e. when the maximal dilatation K converges to 1. Because we aim at explicit bounds, typically involving K-1, some sharp inequalities for special functions are useful.


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