An analytical expression for arbitrary derivatives of Gaussian functions exp(ax2)

International Journal of Physical Sciences

Mehmet Kara¹ 

关键词: Arbitrary derivatives;    Gaussian functions;    Hermite polynomial;    Rodrigues representation.;   

DOI  :  

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this study, an analytical expression for the arbitrary derivatives of Gaussian functionis developed. Using this analytical expression developed within Rodrigues representation, an alternative expression is presented for the Hermite functions. With the help of the expression presented here the Hermite functions can easily be estimated.

【 授权许可】

CC BY