Europe PMC

Derivation of Bessel function closed-form solutions in zero dimensional φ

The integral ∫-∞∞e-x2-gx4dx is used as an introductory learning tool in the study of Quantum Field Theory and path integrals. Typically, it is analyzed via perturbation theory. Closed-form solutions ...
Nature

Bessel Functions and Inequalities

Bessel functions, central to many problems in mathematical physics, provide solutions to differential equations that describe wave propagation, heat conduction and vibrations in cylindrical or ...
Scientific Research Publishing

A Direct Derivation of the Exact Fisher Information Matrix for Bivariate Bessel Distribution of Type I ()

Department of Statistics, College of Sciences, Shiraz University, Shiraz, Iran. Department of Statistics, Fasa University, Fasa, Iran. The density (1.1) is introduced by [7], by using a ...
IEEE

A new polynomial approximation for J/sub v/ Bessel functions

Abstract: New approximate solutions to the v-order Bessel function of the first kind are derived. The solution is expressed as a polynomial for Bessel function of all fractional order polynomial.
Scientific Research Publishing

B. C. Bhattacharyya, “The Use of Mackay’s Bessel Function Curves for Graduating Frequency Distributions,” Sankhya, Vol. 6, 1942, pp. 175-182.

ABSTRACT: This paper deals with a direct derivation of Fisher’s information matrix for bivariate Bessel distribution of type I. Some tools for the numerical computation and some tabulations of the ...