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    An analytical expression for arbitrary derivatives of Gaussian functions exp(ax 2)
    (2009) Kara, Mehmet
    In this study, an analytical expression for the arbitrary derivatives of Gaussian function e ax2 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. © 2009 Academic Journals.
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    An analytical expression for arbitrary derivatives of Gaussian functions exp(ax(2))
    (Academic Journals, 2009) Kara, Mehmet
    In this study, an analytical expression for the arbitrary derivatives of Gaussian function e(ax2) 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.
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    Efficient calculation of boys integrals
    (Academic Journals, 2010) Kara, Mehmet; Nalçacı, Ayşe; Özdoğan, Telhat
    An efficient procedure has been presented for the calculation of Boys integrals by dividing the integral region [0, 1] into several parts. The obtained formula includes factorials, exponentials and a well known auxiliary function that converges very well. A computer program has been constructed in Maple symbolic programming language for comparing our results with literature. It is seen that the computational results of the presented algorithm agree well with the numerical results obtained by direct integration with Maple and results in the available literature.