Unified treatment for the evaluation of generalized complete and incomplete gamma functions


Guseinov I. I. , Mamedov B. A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.202, ss.435-439, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 202 Konu: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.cam.2006.02.038
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.435-439

Özet

The present work applies the binomial expansion theorems to evaluate the generalized complete and incomplete gamma functions arising in the wave scattering and diffraction theory. A simple and efficient algorithm for the calculation of these functions is developed. Some numerical results are presented for significant mapping examples and they are briefly discussed. The formulas obtained are numerically stable for all values of parameters occurring in generalized complete and incomplete gamma functions. (c) 2006 Elsevier B.V. All rights reserved.