Displaying similar documents to “A bound on the Laguerre polynomials”

L q -spectrum of the Bernoulli convolution associated with the golden ratio

Ka-Sing Lau, Sze-Man Ngai (1998)

Studia Mathematica

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Based on a set of higher order self-similar identities for the Bernoulli convolution measure for (√5-1)/2 given by Strichartz et al., we derive a formula for the L q -spectrum, q >0, of the measure. This formula is the first obtained in the case where the open set condition does not hold.

Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.

Chu Wenchang (1997)

Collectanea Mathematica

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A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.