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 ...
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 ...
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

Watson, G.N. (1922) A Treatise on the Theory of Bessel Functions. 2nd Edition, Cambridge University Press, Cambridge.

ABSTRACT: To the Riemann hypothesis, we investigate first the approximation by step-wise Omega functions Ω(u) with commensurable step lengths u0 concerning their zeros in corresponding Xi functions ...