Asymptotic expansions for the Landau density and distribution functions

The Asymptotic Expansions for the Qdd Periodic Mathieu Functions

Transfer Theorem Concerning Asymptotic Expansions For The Distribution Functions Of Statistics

In the paper, we discuss the transformation of the asymptotic expansion for the distribution of a statistic admitting Edgeworth expansion if the sample size is replaced by a random variable.We demonstrate that all those statistics that are regarded as asymptotically normal in the classical sense, become asymptotically Laplace or Student if the sample size is random. Thus, the Laplace and Studen...

Quasi-orthogonal expansions for functions in BMO

For {φ_n(x)}, x ε [0,1] an orthonormalsystem of uniformly bounded functions, ||φ_n||_{∞}≤ M

Inequalities and asymptotic expansions for the constants of Landau and Lebesgue

The constants of Landau and Lebesgue are defined, for all integers n ≥ 0, in order, by

Asymptotic Expansions of Certain Partial Theta Functions

We establish an asymptotic expansion for a class of partial theta functions generalizing a result found in Ramanujan’s second notebook. Properties of the coefficients in this more general asymptotic expansion are studied, with connections made to combinatorics and a certain Dirichlet series.