منابع مشابه
The Calculation of Spherical Bessel Functions and Coulomb Functions
An account is given of the Steed algorithm for calculating Coulomb functions and, as a special case, both spherical Bessel and Riccati–Bessel functions. These functions are needed for boundary-condition matching in scattering problems in Atomic and Nuclear physics. Central to the technique is the evaluation of continued fractions and for this calculation Lentz’s forward method (modified by Thom...
متن کاملNumerical Calculation of Bessel Functions by Solving Differential Equations and Its Application
The method solving Bessel’s differential equation for calculating numerical values of the Bessel function Jν(x) is not usually used, but it is made clear here that the differential equation method can give very precise numerical values of Jν(x), and is very effective if we do not mind computing time. Here we improved the differential equation method by using a new transformation of Jν(x). This ...
متن کاملA Numerical Integration Formula Based on the Bessel Functions
In this paper, we discuss the properties of a quadrature formula with the zeros of the Bessel functions as nodes for integrals ∫ ∞ −∞ |x|f(x)dx, where ν is a real constant greater than −1 and f(x) is a function analytic on the real axis (−∞,+∞). We show from theoretical error analysis that (i) the quadrature formula converges exponentially, (ii) it is as accurate as the trapezoidal formula over...
متن کاملSome Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions
A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...
متن کاملUnivalence of Bessel Functions
In particular we shall first determine a radius of univalence for the normalized Bessel functions [7>(z)]1/" for values of v belonging to the region G defined by the inequalities 6{\v} >0, | arg »»| <7r/4. Then we shall determine the radius of univalence of the functions z1_"7,.(z) for values of v belonging to a subset of the closure of G. When v is real and positive we shall determine the exac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics C
سال: 2012
ISSN: 0129-1831,1793-6586
DOI: 10.1142/s0129183112500842