Abstract
In this chapter, we introduce the notion of a complete family of asymptotically comparable functions and present operating rules and formulas for such families. This concept plays a key role in perturbation conditions for semi-Markov type processes. We also consider typical examples of such families, namely, families of asymptotically comparable power type, power-exponential type, and power-logarithmic type functions. This chapter includes two sections.
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Silvestrov, D. (2022). Asymptotically Comparable Functions. In: Perturbed Semi-Markov Type Processes I. Springer, Cham. https://doi.org/10.1007/978-3-030-92403-4_8
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DOI: https://doi.org/10.1007/978-3-030-92403-4_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92402-7
Online ISBN: 978-3-030-92403-4
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