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Sobrany rezul'taty po vychisleniyu superfunktsiy, abel'funktsiy i netselykh iteratsiy. Dlya zadannoy golomorfnoy peredatochnoy funktsii T, rech' idet o resheniyakh F peredatochnogo uravneniya F(z+1)=T(F(z)) . V chastnosti, rasmotreny superfunktsii ot faktoriala, eksponenty, sinusa; predlozheny golomorfnye obobshcheniya logisticheskoy posledovatel'nosti i funktsiy Askermanna. Iz askermannov predstaveny tetratsiya (v osnovnom, po veshchestvennomu osnovaniyu, bol'shemu edinitsy) i pentatsiya (po osnovaniyu e). Predlozheny effektivnye algoritmy vychisleniya superfunktsiy i abel'funktsiy....

This book is the first monograph where the problem of strong (mean-square) approximation of multiple Ito and Stratonovich stochastic integrals is sistematically analyzed in the context of numerical integration of stochastic differential Ito equations. This monograph for the first time successfully use the tool of multiple and iterative Fourier series, built in the space L2 and poitwise, for the strong approximation of multiple stochastic integrals. We obtained a general result connected with expansion of multiple stochastic Ito integrals with any fixed multiplicity k, based on generalized...