The Wikipedia article on library anxiety.

Constance Mellon's article that first identified and named library anxiety. This gives a very good, readable overview of library anxiety.

This article offers a great overview of research on library anxiety, with solid suggestions about what reference librarians can to to help.

Holland Z711 .O59 2004 - This book contains comprehensive information on library anxiety from some of the top researchers in the field.

Holland Z718.7 .M35 2009 - This book discusses an in-depth study of library anxiety and contains useful suggestions for how Libraries can work to alleviate it.

2016 Atlas Obscura article on library anxiety in Ivy League university libraries, by Ella Morton

2015 Ancestry Blog guest post by Linda Barnickel that is focused on genealogical research but contains a helpful overview and tips for any library user.