In mathematics, the BesselâÂÂMaitland function, or Wright generalized Bessel function, is a generalization of the Bessel function, introduced by . It allows to model more complex phenomena by providing solutions to a broader class of fractional-order differential equations than possible with standard Bessel functions.
The name "BesselâÂÂMaitland function" contains a historical misnomerâÂÂ"Maitland" appears in the function's name due to a confusion between Edward Maitland Wright's middle name and surname. While Wright is correctly recognized as the mathematician who generalized Johann Friedrich Bessel's original work, this nomenclature error has persisted in the mathematical literature.
The function is given by