Read More
Date: 10-10-2019
1884
Date: 15-9-2019
1687
Date: 25-4-2018
1541
|
Kelvin defined the Kelvin functions bei and ber according to
(1) |
|||
(2) |
|||
(3) |
|||
(4) |
where is a Bessel function of the first kind and is a modified Bessel function of the first kind. These functions satisfy the Kelvin differential equation.
Similarly, the functions kei and ker by
(5) |
where is a modified Bessel function of the second kind. For the special case ,
(6) |
|||
(7) |
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). "Kelvin Functions." §9.9 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 379-381, 1972.
Prudnikov, A. P.; Marichev, O. I.; and Brychkov, Yu. A. "The Kelvin Functions , , and ." §1.7 in Integrals and Series, Vol. 3: More Special Functions. Newark, NJ: Gordon and Breach, pp. 29-30, 1990.
Spanier, J. and Oldham, K. B. "The Kelvin Functions." Ch. 55 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 543-554, 1987.
|
|
"عادة ليلية" قد تكون المفتاح للوقاية من الخرف
|
|
|
|
|
ممتص الصدمات: طريقة عمله وأهميته وأبرز علامات تلفه
|
|
|
|
|
ضمن أسبوع الإرشاد النفسي.. جامعة العميد تُقيم أنشطةً ثقافية وتطويرية لطلبتها
|
|
|