engleski

On Neumann series of Macdonald functions

The main aim of this article is to establish a closed form expression for the Neumann series built with Macdonald functions which order contains the summation index and the coefficients include the summation index exponentially and factorially. Motivated by this problem which occurs in several problems of physics or electrochemistry such as diffusion phenomena, we derive two integral representations a general Neumann series of this type containing Macdonald functions as building blocks.

Neumann series ; Macdonald function ; Modified Bessel function of the first kind ; Grünwald-Letnikov fractional derivative ; Integral representation of functional series

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