Abstract
In this paper, we study certain interesting and useful properties of incomplete (Formula presented.) -functions. The incomplete (Formula presented.) -function is an extension of the (Formula presented.) -function. We find several useful classical integral transforms of these functions. Further, we examine the fractional calculus with the incomplete (Formula presented.) -functions and point out several special cases. Finally, we give the applications of incomplete (Formula presented.) -functions in detecting glucose supply in human blood.
| Original language | English |
|---|---|
| Pages (from-to) | 5602-5614 |
| Number of pages | 13 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 43 |
| Issue number | 8 |
| DOIs | |
| State | Published - 30 May 2020 |
Keywords
- Fox's H-function
- fractional integral operators
- incomplete ℵ-functions
- integral transform
- Mellin-Barnes type contour integral
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