The Mie series has very important applications in electromagnetics (including optics).We employ a formulation for the Mie series which relies more on the derivatives of Legendre polynomials than Bessel functions.Recurrence formulas for derivatives related to Legendre polynomials are derived to realize the Mie series conveniently and to avoid treating special angles.The series solution for scattering by homogeneous spheres was first obtained by Mie[1] and has been studied by many researchers,[2] including its numerical implementation.[3-5] In the literature,far-field behaviors such as scattering amplitude,absorption,and extinction cross sections have been extensively studied.In contrast,we are interested in the calculation of the near-field behaviors such as the energy flux around small particles.[6-8] In this Letter,we employ a new formulation which relies more on the derivatives of associated Legendre polynomials than Bessel functions.