Differential equation and inequalities of the generalized k-Bessel functions
Abstract In this paper, we introduce and study a generalization of the k-Bessel function of order ν given by Wν,ck(x):=∑r=0∞(−c)rΓk(rk+ν+k)r!(x2)2r+νk. $$ \mathtt{W}^{\mathtt{k}}_{\nu , c}(x):= \sum_{r=0}^{\infty } \frac{(-c)^{r}}{\Gamma_{\mathtt{k}} ( r \mathtt{k} +\nu +\mathtt{k} ) r!} \biggl( \fr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1772-1 |