Manzij O. Approximation hypergeometric functions of Appell by branched continued fractions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U003254

Thesis Registration Form

0400U003254.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

30-11-2000

Specialized Academic Board

Д35.051.07

Essay

The expansion hypergeometric functions of Appell by branched continued fractions are investigated. The formulas for numerators and denominators of the branched continued fraction's approximants are found and the conditions under which denominators of these approximants is nonzero are obtained. The convergence region for the branched continued fraction, being the expansion of ratio of Appell hypergeometric functions are investigated and the approximations errors are obtained.

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