关于伽马变换及其应用

arXiv - MATH - Classical Analysis and ODEs Pub Date : 2024-07-18 DOI:arxiv-2407.13812

Slobodan B. Tričković, Miomir S. Stanković

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引用次数: 0

摘要

我们利用拉普拉斯变换和伽马函数构造了一种新的积分变换，它具有将导数映射到后向差分的特性，由此我们得出了一种求解差分方程的方法，并依靠经典的正交多项式获得了组合特性。附录中给出了一些基本函数表。

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On the gamma transform and its applications

We make use of the Laplace transform and gamma function to construct a new integral transform having the property of mapping a derivative to the backward difference, whence we derive a method for solving difference equations and, relying on classical orthogonal polynomials, for obtaining combinatorial identities. A table of some basic functions is given in the Appendix.

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arXiv - MATH - Classical Analysis and ODEs

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