Abstract
Using a special case of the Efros theorem which was derived by Wlodarski, and operational calculus, it was possible to derive many infinite integrals, finite integrals and integral identities for the function represented by the inverse Laplace transform. The integral identities are mainly in terms of convolution integrals with the Mittag–Leffler and Volterra 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. Some properties of the inverse Laplace transform of s−μexp(−sν) with μ≥0 and 0<ν<1 are presented.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference37 articles.
1. Nouvelle correspondances symboliques;Humbert;Bull. Soc. Math.,1945
2. The representation of 𝑒^{-𝑥^{𝜆}} as a Laplace integral
3. Sur une formule de Efros
4. Sur les fonctions exponentielles du calcul opératoire
5. Sur la croissance de la function opérationelle exp(−sαλ);Mikusinski;Bull. Acad. Polon.,1953
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