广义三角函数理论：从Laguerre到Airy形式
Theory of Generalized Trigonometric Functions: from Laguerre to Airy Forms
摘要：
我们提出了一种新的观点来引入函数族，它可以看作是普通三角函数或双曲函数的推广。它们是使用基于阴影方法的程序定义的，灵感来自于Bochner，Cholewinsky和Haimo的Bessel演算。我们提出了进一步的扩展的方法和相关的概念，以及获得新的家庭的积分变换允许框架内的广义Borel变换的背景下，以前的概念。
英文摘要：
We develop a new point of view to introduce families of functions, which can be identified as generalization of the ordinary trigonometric or hyperbolic functions. They are defined using a procedure based on umbral methods, inspired to the Bessel Calculus of Bochner, Cholewinsky and Haimo. We propose further extensions of the method and of the relevant concepts as well and obtain new families of integral transform allowing the framing of the previous concepts within the context of generalized Borel tranforms.
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