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Export Reference (APA) 
Ferreira, M. A. M. (2025). First Order Differential Equations Induced by the Infinite Servers Queue with Poisson Arrivals Transient Behavior Probability Distribution Parameters Study as Time Functions. arXiv:2109.13591. 1-10
Export Reference (IEEE) 
M. A. Ferreira,  "First Order Differential Equations Induced by the Infinite Servers Queue with Poisson Arrivals Transient Behavior Probability Distribution Parameters Study as Time Functions", in arXiv:2109.13591, pp. 1-10, 2025
Export BibTeX 
@null{ferreira2025_1764944035510,
	year = "2025",
	url = "https://arxiv.org/abs/2109.13591"
}
Export RIS 
TY  - GEN
TI  - First Order Differential Equations Induced by the Infinite Servers Queue with Poisson Arrivals Transient Behavior Probability Distribution Parameters Study as Time Functions
T2  - arXiv:2109.13591
AU  - Ferreira, M. A. M.
PY  - 2025
SP  - 1-10
DO  - 10.48550/arXiv.2109.13591
UR  - https://arxiv.org/abs/2109.13591
AB  - The infinite servers queue with Poisson arrivals state transient probabilities, considering the time origin at the beginning of a busy period, mean and variance monotony as time functions is studied. These studies, for which results it is determinant the hazard rate function service time length, induce the consideration of two differential equations, one related with the mean monotony study and another with the variance monotony study, which solutions lead to some particular service time distributions, for which those parameters present specific behaviors as time functions.
ER  -