The institution is awarding 23 honorary doctorates to leading figures in the arts, broadcasting, music, science, medicine and law in recognition of outstanding achievements and contributions.
Calman will be honoured for her work as a broadcaster and comedian, but also for highlighting mental health issues and LGBT rights, while Neil will be recognised for his contribution to broadcasting and journalism.
Reverend Dr Angus Morrison, former Moderator of the Church of Scotland, will be honoured for his contribution to championing Gaelic, his work with refugee and asylum seekers, and changing attitudes within the Church to same-sex relationships.
Degrees will also be awarded to Sandy Brindley, chief executive and national co-ordinator at Rape Crisis Scotland and Dr Lena Wilson CBE, former chief executive of Scottish Enterprise.
The Lord Advocate, James Wolfe, will receive his honorary degree in his home town of Dumfries for his contribution to the law and public service in Scotland and beyond.
The Scottish composer John Maxwell Geddes, who died in September last year, will be posthumously awarded an Honorary Doctorate of Music for his contribution as a “composer, educator and ambassador for our cultural life”.