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If the partial numerators and denominators of the continued fractions are perturbed slightly, the continued fractions equal power series plus easily computed error terms..

Szynal, On the Krzy˙z conjecture and related problems, in: Laine, Martio (Eds.), XVIth Rolf Nevanlinna Colloquim, Walter de Gruyter, Berlin, 1996, pp.. Szasz, Ungleichungen fur

Buchholz, that allows one to express the regular conuent hypergeometric function M ( a; b; z ) as a series of modied Bessel functions with polynomial coecients, is generalized to

In this section we construct matrix polynomial approximations of problems (1)–(3) expressed in terms of Hermite matrix polynomials... Apostol, Explicit formulas for solutions of

Keywords: Nondenite linear functionals; Orthogonal polynomials; Nonexistence; Moment preserving spline approximation.. Thus, our problem is connected with the existence of real

We should point out that this type of rational functions, by having some poles (and=or zeros) prescribed in advance, with the rest dened by matching the series for f as far as

Most of the current theory and all implementations of Zeilberger’s algorithm remain restricted to the case of identities for terminating hypergeometric series, while many of the

Szynal, On the Krzy ˙ z conjecture and related problems, in: Laine, Martio (Eds.), XVIth Rolf Nevanlinna Colloquium, Walter de Gruyter, Berlin, 1996, pp. Lohofer, Inequalities