Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.7027Keywords:
Univalent functions, Partial sums and Lower bounds, Mittag-Leffler and Barnes-Mittag-Leffler functions., Le Roy-type Mittag-Leffler functionAbstract
Building on recent research that established partial sum and lower bounds for various special functions, this paper extends the scope to investigate the normalized Le Roy-type Mittag-Leffler-Prabhakar and Barnes-Mittag-Leffler functions. We aim to determine lower bounds for these functions and their partial sums. We also presenting some new consequences, lemmas, and corollaries that highlight the significance of our findings. Our results are novel and enhance existing knowledge in the field.
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Copyright (c) 2025 Shahid Khan, Niaz Ali Shah, Hijaz Ahmad, Alwaleed Kamel , Waleed Mohammed Abdelfattah, Osama Oqilat
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