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 ...
AbstractWe define a new difference equation analogue of the Bessel differential equation and investigate the properties of its solution, which we express using a ₂𝐹₁ hypergeometric function. We find ...
In 1823 the astronomer Friedrich Wilhelm Bessel gave notice of an observational error which is now known as the personal equation. Bessel, however, never used this ...