Support of the measure in an integral representation for a Nevanlinna function defined by a limit periodic continued fraction

Key Points

• The research aims to obtain an integral representation for the support of a measure associated with a Nevanlinna function derived from a limit-periodic continued fraction.
• Utilized a limit-periodic continued fraction structure similar to Schur continued fractions.
• Developed an integral representation for the associated measures of the limiting Nevanlinna function.
• Successfully derived a representation for the support of the measure linked to the Nevanlinna function.
• Established connections between limit-periodic continued fractions and Nevanlinna functions.