Nayak T.2025-02-1720164http://dx.doi.org/10.1090/proc12715https://idr.iitbbs.ac.in/handle/2008/1121We investigate the existence and distribution of Herman rings of transcendental meromorphic functions which have at least one omitted value. If all the poles of such a function are multiple, then it has no Herman ring. Herman rings of period one or two do not exist. Functions with a single pole or with at least two poles, one of which is an omitted value, have no Herman ring. Every doubly connected periodic Fatou component is a Herman ring. � 2015 American Mathematical Society.enHerman ringMeromorphic functionOmitted valueArticle