On Bourguet–Bromwich integral representations
In this paper, we consider the parabolic Bourguet contours and study some aspects of the Bourguet representations in fractional calculus. Some new integral representations for the gamma, psi, Mittag-Leffler and Mainardi functions are given, and the Bourguet representation of the fundamental solution of sub-diffusion equation is discussed.
Authors
- Ahmad Sharif (ORCID: https://orcid.org/0000-0002-6598-7139)
- Alireza Ansari (ORCID: https://orcid.org/0000-0003-4387-3779)
Institutions
- Shahrekord University (IR)
- Gonbad Kavous University (IR)
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2025-09-25
- DOI
- https://doi.org/10.1142/s1793557125501104
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 3.69