Bell多项式与广义拉普拉斯变换
Bell polynomials and generalized Laplace transforms
摘要：
首先示出了通过使用Laguerre型指数获得的拉普拉斯变换的扩展。此外，通过贝尔多项式的Blissard问题的解决方案，给出了与任何数值序列相关的拉普拉斯型变换的可能性。计算技术相应的变换的解析函数，涉及贝尔多项式，推导。
英文摘要：
An extension of the Laplace transform obtained by using the Laguerre-type exponentials is first shown. Furthermore, the solution of the Blissard problem by means of the Bell polynomials, gives the possibility to associate to any numerical sequence a Laplace-type transform depending on that sequence. Computational techniques for the corresponding transform of analytic functions, involving Bell polynomials, are derived.
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