On convergence, asymptotic behaviour and computational algorithm of generalized exponential integral functions arising in a radiative transfer

BAYRAM E., ÖZALP N.

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, cilt.113, sa.14, ss.1818-1825, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 113 Sayı: 14
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.jqsrt.2012.05.012
  • Dergi Adı: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1818-1825
  • Anahtar Kelimeler: Generalized exponential integrals, Uniform convergence, Multidimensional radiative transfer, Anisotropic scattering, Computational algorithm, SLATER-TYPE ORBITALS, MULTIELECTRON MOLECULAR INTEGRALS, ANISOTROPIC SCATTERING, AUXILIARY FUNCTIONS, OVERLAP INTEGRALS, RECURRENCE RELATIONS, REPRESENTATION, THEOREMS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate uniform convergence of the generalized exponential integral functions (GEI) arising in the study of radiative transfer in a two-dimensional planar-medium and anisotropic scattering in a multidimensional medium. Using the uniform convergence, we study the properties and asymptotic behaviour of the GEI functions. We also give an efficient algorithm for the computations of the values of the GEI functions. (C) 2012 Elsevier Ltd. All rights reserved.