DOAJ Open Access 2021

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

Dheerandra Shanker Sachan Shailesh Jaloree Junesang Choi

Abstrak

The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations. Firstly, we express many of the two parametric Mittag-Leffler functions in terms of elementary functions by combining suitable pairings of certain specific instances of those recurrence relations. Secondly, by applying Riemann–Liouville fractional integral and differential operators to one of those recurrence relations, we establish four new relations among the Fox–Wright functions, certain particular cases of which exhibit four relations among the generalized hypergeometric functions. Finally, we raise several relevant issues for further research.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (3)

Dheerandra Shanker Sachan

Shailesh Jaloree

Junesang Choi

Format Sitasi

APA MLA BibTeX

Sachan, D.S., Jaloree, S., Choi, J. (2021). Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus. https://doi.org/10.3390/fractalfract5040215

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.3390/fractalfract5040215

Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.3390/fractalfract5040215
Akses: Open Access ✓