Weighted inequalities and negative binomials

The following topics and their interconnection are discussed: 1. a general product inequality for the weighted seminorms on the vector space of formal power series and its special cases and applications; 2. the properties and applications of the binomial coefficients d n ( α ) that arise in the expa...

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Veröffentlicht in:	Advances in applied mathematics 2010-10, Vol.45 (4), p.564-606
1. Verfasser:	Grinshpan, Arcadii Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Bernstein polynomials Binomial coefficients Binomial inequalities Binomials Convolutions Entire functions Exact sciences and technology Exponentiation Gamma and beta functions General mathematics General, history and biography Generalized hypergeometric series Inequalities Interconnection Laplace–Borel transforms Mathematical analysis Mathematics Norms Number theory Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use Seminorms for formal power series Special functions Transforms Univalent functions Weighted inequalities for sums Weighted norm inequalities
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