TY - JOUR
A2 - Govil, N. K.
AU - Selvaggi, Jerry P.
AU - Selvaggi, Jerry A.
PY - 2018
DA - 2018/05/06
TI - The Application of Real Convolution for Analytically Evaluating Fermi-Dirac-Type and Bose-Einstein-Type Integrals
SP - 5941485
VL - 2018
AB - The Fermi-Dirac-type or Bose-Einstein-type integrals can be transformed into two convergent real-convolution integrals. The transformation simplifies the integration process and may ultimately produce a complete analytical solution without recourse to any mathematical approximations. The real-convolution integrals can either be directly integrated or be transformed into the Laplace Transform inversion integral in which case the full power of contour integration becomes available. Which method is employed is dependent upon the complexity of the real-convolution integral. A number of examples are introduced which will illustrate the efficacy of the analytical approach.
SN - 2314-4963
UR - https://doi.org/10.1155/2018/5941485
DO - 10.1155/2018/5941485
JF - Journal of Complex Analysis
PB - Hindawi
KW -
ER -