Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol. By this approach, we deduce a few analytical properties as usual differentiations and integral transforms (likewise, Laplace transform, Whitt...
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| Main Authors: | , , , , |
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| Format: | article |
| Language: | EN |
| Published: |
Hindawi Limited
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/9ddd81354b1c4c20bcdc2c12ae3cef9f |
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| Summary: | The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol. By this approach, we deduce a few analytical properties as usual differentiations and integral transforms (likewise, Laplace transform, Whittaker transform, beta transform, and so forth) for our presented k-Bessel–Maitland function. Also, the k-fractional integration and k-fractional differentiation of abovementioned k-Bessel–Maitland functions are also pointed out systematically. |
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