Recursion formulas for the evaluation of the parabolic cylinder function with integer and half-integer orders
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| Publication date | 2015 |
| Number of pages | 16 |
| Publisher | Amsterdam: University of Amsterdam |
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| Abstract | Sums of the parabolic cylinder function for, in absolute value, growing half-integer and integer orders emerge in numerous fields such as time-series analysis, quantum optics and transmission in wireless channels. This paper derives recursion formulas for the parabolic cylinder function with integer and half-integer orders that substantially decrease computation time for these sums. |
| Document type | Working paper |
| Note | September 22, 2015 |
| Language | English |
| Published at | https://doi.org/10.13140/RG.2.1.2133.0404 |
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