Abstract: The three-parameter Mittag-Leffler function introduced by Prabhakar commonly used today makes use of the Pochhammer symbol. In this paper, we introduce an alternative three-parameter Mittag-Leffler function that is without the Pochhammer symbol. It is shown that this new simplified version of the three-parameter Mittag-Leffler function behaves like the one commonly used in the literature. Also, we state some properties of this new three-parameter Mittag-Leffler function, so that it can be used in applications.
Keywords: Mitttag-Leffler function; the Pochhammer symbol.
Title: An Alternative Three-Parameter Mittag-Leffler Function without the Pochhammer Symbol
Author: E. E. Iyeme, O. R. Okpo
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 14, Issue 1, April 2026 - September 2026
Page No: 59-63
Research Publish Journals
Website: www.researchpublish.com
Published Date: 22-May-2026
