Publication Cover
Applicable Analysis
An International Journal
Volume 66, 1997 - Issue 1-2
129
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic expansions for generalized gamma and incomplete gamma functions

Pages 173-187 | Received 01 Apr 1997, Published online: 02 May 2007
 

Abstract

Kobayashi(jour.phy.soc.japan 60(1991),1501_1512) considered a generalized Gamma function occuring in Diffraction Theory. This article considers a more general function involving Gauss hypergeometric function F(a,b;c,x)

Where that reduces to when p=1 and b=c.

The incomplete and the complementary incomplete functions associated with are introduced. Some properties and recurrence relations satisfied by these two functions are proved, and asymptotic expansions for the function and its associated incomplete and complementary incomplete functions are fully investigated.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.