|
|||||
|
|
On a sum with a three-parameter Mittag-Leffler function |
|
| Authors: | DS de Oliveira Sarah Deif |
| Institution: | 1. Department of Applied Mathematics, Imecc – Unicamp, Campinas, SP, Brazil;2. Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, Egypt |
| Abstract: | The bounding of the two-parameter Mittag-Leffler function is discussed. As a particular consequence, we present two proofs for a sum involving a three-parameter Mittag-Leffler function. This sum can be seen as a generalization of a relation involving a product of two exponential functions. Particular cases are recovered. |
| Keywords: | Mittag-Leffler functions Laplace transform Volterra integral equation error bounds sum of series |