The integral Mittag-Leffler, whittaker and wright functions

Alexander Apelblat, Juan Luis González-Santander

Research output: Contribution to journalArticlepeer-review

Abstract

Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form. In most reported cases, these new integral functions are expressed as generalized hypergeometric functions but also in terms of elementary and special functions. The behavior of some of the new integral functions is presented in graphical form. By using the MATHEMATICA program to obtain infinite sums that define the Mittag-Leffler, Whittaker, and Wright functions and also their corresponding integral functions, these functions and many new Laplace transforms of them are also reported in the Appendices for integral and fractional values of parameters.

Original languageEnglish
Article number3255
JournalMathematics
Volume9
Issue number24
DOIs
StatePublished - 1 Dec 2021

Keywords

  • Integral Mittag-Leffler functions
  • Integral Whittaker functions
  • Integral wright functions
  • Laplace transforms

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