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To celebrate Professor Masatoshi Noumi's 60th Birthday, we held the international conference 'Representation Theory, Special Functions and Painlevé Equations' at the Research Institute for Mathematical Sciences, Kyoto University from March 3 to March 6 in 2015.This volume is the proceedings of the conference. It contains 15 papers covering a variety of topics in the research fields where Prof. Noumi has made many significant contributions over the years -- representation theory, special functions, Painlevé equations and so on.We hope that readers interested in those subjects will find exciting and stimulating insights from excellent papers of this volume.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America