Abstract
In this paper, we study a functional equation for generating functions of the form f(z) = g(z) sum _{i=1}^M p_i f(alpha _i(z)) + K(z), viz. a recursion with multiple recursive terms. We derive and analyze the solution of this equation for the case that the alpha _i(z) are commutative contraction mappings. The results are applied to a wide range of queueing, autoregressive and branching processes.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
