To celebrate Masatoshi Noumi's 60th birthday, the international conference ``Representation Theory, Special Functions and Painleve Equations'' was held at the Research Institute for Mathematical Sciences, Kyoto University, from March 3-March 6, 2015. This volume is the proceedings of the conference. It contains 15 papers covering a variety of topics in the research fields where Noumi has made many significant contributions over the years-representation theory, special functions, Painleve equations, among others. The editors hope that readers interested in those subjects will find exciting and stimulating insights from the excellent papers in this volume.