Applications of the Efros Theorem to the Wright Functions of the Second Kind and Other Results

Alexander Apelblat, Francesco Mainardi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)9-28
Number of pages20
JournalLecture Notes of TICMI
Volume21
Issue number1
StatePublished - 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

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