International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Short Communication

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

Mehmet Kara
Bolu Vocational High School, Abant Ä°zzet Baysal University, 14200 Bolu, Turkey.
Email: [email protected]

  •  Accepted: 03 April 2009
  •  Published: 30 April 2009

Abstract

In this study, an analytical expression for the arbitrary derivatives of Gaussian function  is 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.

 

Key words: Arbitrary derivatives, Gaussian functions, Hermite polynomial, Rodrigues representation.