Abstract
We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156-1169]. We extend the definition of this function using the two-parameter Mittag-Leffler function. The expansions of the similarly extended sine and cosine integrals are also discussed. Numerical examples are presented to illustrate the accuracy of each type of expansion obtained.
Original language | English |
---|---|
Article number | 428 |
Number of pages | 13 |
Journal | Mathematics |
Volume | 8 |
Issue number | 3 |
Early online date | 16 Mar 2020 |
DOIs | |
Publication status | Published - 16 Mar 2020 |
Keywords
- Asymptotic expansions
- Exponential integral
- Mittag-Leffler function
- Sine and cosine integrals