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

Guseinov, I.; Mamedov, B.

doi:10.1016/j.cam.2006.02.038

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

Atıf İçin Kopyala

Guseinov I. I., Mamedov B. A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.202, sa.2, ss.435-439, 2007 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 202 Sayı: 2
Basım Tarihi: 2007
Doi Numarası: 10.1016/j.cam.2006.02.038
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.435-439
Çanakkale Onsekiz Mart Üniversitesi Adresli: Hayır

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.