论文标题
Kilbas-Saigo功能的某些特性
Some properties of the Kilbas-Saigo function
论文作者
论文摘要
我们表征了Kilbas-Saigo功能在负半行中的完全单调性。我们还以$ - \ infty $提供了确切的渐近学，并得出了均匀的双曲线边界。经典的Le Roy功能也解决了相同的问题。证明的主要成分是根据稳定的下属对这些功能的概率表示。
We characterize the complete monotonicity of the Kilbas-Saigo function on the negative half-line. We also provide the exact asymptotics at $-\infty$, and uniform hyperbolic bounds are derived. The same questions are addressed for the classical Le Roy function. The main ingredient for the proof is a probabilistic representation of these functions in terms of the stable subordinator.
