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Calculation of the modified Bessel functions of the second kind with complex argument
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mechel, Fr. |
| Copyright Year | 1966 |
| Abstract | In physical problems often the modified Bessel functions Kniz) with complex argument z occur, or the Hankel functions of the first kind Hn\z) which are related to Kniz) hyKniz) = iir/2)in+1Hna\iz), with i = (-l)m. Computationally rapid and fairly exact procedures are available for the evaluation of these functions for real or imaginary argument either by recurrence, [1], [2], or by polynomial approximations, [3]-[7]. With complex argument, methods of computation were published which start from the representation by integrals of the modified Bessel function, [8], [9], [10]. Hunter [10] makes use of the integral |
| Starting Page | 407 |
| Ending Page | 412 |
| Page Count | 6 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0025-5718-1966-0202282-6 |
| Alternate Webpage(s) | http://www.ams.org/journals/mcom/1966-20-095/S0025-5718-1966-0202282-6/S0025-5718-1966-0202282-6.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0025-5718-1966-0202282-6 |
| Volume Number | 20 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |