Golub A. Method of generalized moment representations in the theory of rational approximation

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0510U000656

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

07-09-2010

Specialized Academic Board

Д26.206.01

Essay

Unified approach is developed to construction and investigation of Pade approximants and their generalizations for many classes of special functions. Asymptotics of deviations of diagonal Pade approximants for functions of Mittag-Leffler type is obtained. Simultaneous Pade approximants for sets of confluent hypergeometric functions are constructed and studied.

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