This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21-25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers o...Loe edasi...
Proceedings from a minisymposium and AMS sessions highlight recent research on hypergeometric and q-series. Articles address challenges in mathematical physics, from integrating the Schrödinger equation and computing gravitational potentials to deri...Loe edasi...
Proceedings from a virtual AMS Special Session delve into recent advances in Macdonald polynomials and their intricate combinatorial structures. Discussions span both type A and arbitrary types, unveiling new formulas connected to integrable systems...Loe edasi...
This volume contains the proceedings of a minisymposium and two AMS special sessions in three conferences: Minisymposium on All Things Hypergeometric, q-series and Generalizations at the 16th International Symposium on Orthogonal Polynomials, Spec...Loe edasi...
This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory...Loe edasi...
The roots of the modern theories of differential and q-difference equations go back in part to an article by George D. Birkhoff, published in 1913, dealing with the three sister theories of differential, difference and q-difference equations...Loe edasi...
This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions. It includes plenty of solved exercises and it is appropriate for a wide audience, starting from undergraduate students...Loe edasi...
Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type algebraic varieties over finite fields and consequently study hypergeomet...Loe edasi...
Planned for Leiden, the Netherlands, the December 2020 conference was held virtually due to COVID-19 constraints. The proceedings contains 11 papers on hypergeometric functions, quantum integrable systems, and Lie groups and algebra. Among the to...Loe edasi...
We describe a method, based on the theory of Macdonald-Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonalds partial fraction technique and results in the first examples of bounded Li...Loe edasi...
(Ilmumisaeg: 03-May-2018, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813209473)
Our book gives the complex counterpart of Kleins classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations...Loe edasi...
(Ilmumisaeg: 14-Jun-2017, Hardback, Kirjastus: World Scientific Europe Ltd, ISBN-13: 9781786342942)
This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi–Yau manifolds. Most of the mate...Loe edasi...
Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fract...Loe edasi...
Contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckermans 60th birthday, held October 24-27, 2009. New developments on chiral algebras, representation theory of affine Kac-Moody algeb...Loe edasi...
(Ilmumisaeg: 26-May-2010, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642122293)
In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these...Loe edasi...
This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul during June 13-25, 2005. A wide range of topic...Loe edasi...