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The article is devoted to the expansion of iterated Stratonovich stochasticintegrals of arbitrary multiplicity $k$ $(k\in\mathbb{N})$ based on thegeneralized iterated Fourier series converging pointwise. The case ofFourier-Legendre series as well as the case of trigonometric Fourier series areconsidered in details. The obtained expansion provides a possibility torepresent the iterated Stratonovich stochastic integral in the form of iteratedseries of products of standard Gaussian random variables. Convergence in themean of degree $2n$ $(n\in \mathbb{N})$ of the expansion is proved. Some recentresults on the expansion of iterated Stratonovich stochastic integrals ofmultiplicities 3 to 6 are given. The results of the article can be applied tothe numerical solution of Ito stochastic differential equations.

Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise