Directory UMM :Data Elmu:jurnal:J-a:Journal of Computational And Applied Mathematics:Vol102.Issue1.1999:
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Here we apply the parametric representation method which has the following advantages: (1) the singularity set can be easily constructed as a curve parametrized by x , called
Necessary and sucient conditions for membership in k -UCV, as well as sharp growth and distortion theorems for k -uniformly convex functions are given.. The obtained results
As noted in [5] the lower bounds in Theorem 2 do not characterize simply connected regions even though the corresponding two-point distortion theorem does characterize
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
As an illustration of the method, in Section 3 we use it to compute the well-known coecients of the linearization formula for Hermite polynomials and the six connection
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
Gautschi, Kershaw, Lorch, Laforgia and other authors gave several inequalities for the ratio ( x + 1) = ( x + s ) where, as usual, denotes the gamma function1. In this paper we give
This paper is devoted to some classes of orthogonal Muntz polynomials, as well as to the associated Malmquist systems of orthogonal rational functions.. The rst papers for
