Abstract
Using a special case of the Efros theorem and operational calculus it was possible to derive many infinite integrals, finite integrals and integral identities for the Wright functions of the second kind. The integral identities derived as inverse Laplace transforms are mainly in terms of convolution integrals with the Mittag-Leffler functions. The integrands of determined integrals include elementary functions (power, exponential, logarithmic, trigonometric and hyperbolic functions) and the error functions, the Mittag-Leffler functions and the Volterra functions.
Original language | English |
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Pages (from-to) | 9-28 |
Number of pages | 20 |
Journal | Lecture Notes of TICMI |
Volume | 21 |
Issue number | 1 |
State | Published - 1 Jan 2021 |
Keywords
- Efros theorem
- Mainardi functions
- Mittag-Leffler functions
- Volterra functions
- Wright functions
- infinite integrals
- modified Bessel functions
ASJC Scopus subject areas
- Information Systems
- General Mathematics
- Applied Mathematics