Precise analytic approximations for the Bessel function J1(x)

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Polynomial Approximations to Bessel Functions

A polynomial approximation to Bessel functions that arises from an electromagnetic scattering problem is examined. The approximation is extended to Bessel functions of any integer order, and the relationship to the Taylor series is derived. Numerical calculations show that the polynomial approximation and the Taylor series truncated to the same order have similar accuracies.

متن کامل

The prime-counting function and its analytic approximations

The paper describes a systematic computational study of the prime counting function π(x) and three of its analytic approximations: the logarithmic integral li(x) := ∫ x 0 dt log t , li(x)− 2 li( √ x), and R(x) := ∞k=1 μ(k)li(x1/k)/k, where μ is the Möbius function. The results show that π(x) < li(x) for 2 ≤ x ≤ 1014, and also seem to support several conjectures on the maximal and average errors...

متن کامل

Analytic Solution for Hypersonic Flow Past a Slender Elliptic Cone Using Second-Order Perturbation Approximations

An approximate analytical solution is obtained for hypersonic flow past a slender elliptic cone using second-order perturbation techniques in spherical coordinate systems. The analysis is based on perturbations of hypersonic flow past a circular cone aligned with the free stream, the perturbations stemming from the small cross-section eccentricity. By means of hypersonic approximations for the ...

متن کامل

Analytic Approximations for Moist Convectively Adjusted Regions

Solutions are obtained for convective regions in a continuously stratified, linearized primitive equation model using a smoothly posed moist convective adjustment parameterization of cumulus convection. In the approximation in which the convective adjustment time is fast compared to other processes, the vertical structure of the temperature field is constrained to be close to the quasi-equilibr...

متن کامل

Analytic Light Transport Approximations for Volumetric Materials

Subsurface scattering and light transport in volumetric media are critical to achieve a realistic depiction of a material. We describe several analytical approximations and methods for volumetric light transport in media of various optical properties that are efficient and easy to compute. Most natural materials exhibit a sudden surge in brightness called the opposition effect around the zero p...

متن کامل

ذخیره 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: Results in Physics

سال: 2018

ISSN: 2211-3797

DOI: 10.1016/j.rinp.2018.01.071