ISSN:
1572-9559
Keywords:
Special Function
;
Integrals of Bessel Function
;
Analytical representation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In the evaluation of the power flow in some millimeter RF structures, a new kind of integrals of the type $$\int {^r } [A\zeta _\nu (kr) + B\zeta _{ - \nu } (kr)][A'\zeta _\nu (kr) + B'\zeta _{ - \nu } (kr)]\frac{{dr}}{r},$$ in which ζ±ν(kr) denotes arbitrary Bessel functions of real order ±ν, is met. In order to integrate it, a new transformation of modified Bessel function is build in this paper: then a general integral formula involving the products two terms, each of them can be expressed a sum of any two modified Bessel function, is obtained by means of applying a theorem on calculus to this transformation smartly, Furthermore, making use of the characteristics of modified Bessel function and the definition of Bessel function, the analytical expression of the above integral is derived.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022633112029
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