Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms
نویسندگان
چکیده
منابع مشابه
Derangements and asymptotics of Laplace transforms of polynomials
We describe the behavior as n → ∞ of the Laplace transforms of P, where P a fixed complex polynomial. As a consequence we obtain a new elementary proof of an result of Gillis-Ismail-Offer [2] in the combinatorial theory of derangements. 1 Statement of the main results The generalized derangement problem in combinatorics can be formulated as follows. Suppose X is a finite set and ∼ is an equival...
متن کاملOn parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces
We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with 2π-periodic coefficients, for initial data living in a space of quasiperiodic functions. By means of the Borel-Laplace summation procedure, we construct sectorial holomorphic solutions which are shown to share the same formal power series as asymptotic expansion in the perturbation parameter. W...
متن کاملOn parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems
We study a nonlinear initial value Cauchy problem depending upon a complex perturbation parameter with vanishing initial data at complex time t = 0 and whose coefficients depend analytically on ( , t) near the origin in C and are bounded holomorphic on some horizontal strip in C w.r.t the space variable. This problem is assumed to be non-Kowalevskian in time t, therefore analytic solutions at t...
متن کاملOn parametric multilevel q−Gevrey asymptotics for some linear q-difference-differential equations
We study linear q−difference-differential equations, under the action of a perturbation parameter . This work deals with a q−analog of the research made in [8] giving rise to a generalization of the work [10]. This generalization is related to the nature of the forcing term which suggests the use of a q−analog of an acceleration procedure. The proof leans on a q−analog of the so-called Ramis-Si...
متن کاملOn parametric multilevel q−Gevrey asymptotics for some linear Cauchy problem
We study a linear q−difference-differential Cauchy problem, under the action of a perturbation parameter . This work deals with a q−analog of the research made in [8] giving rise to a generalization of the work [10]. This generalization is related to the nature of the forcing term which suggests the use of a q−analog of an acceleration procedure. The proof leans on a q−analog of the so-called R...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2020
ISSN: 1687-1847
DOI: 10.1186/s13662-020-02773-z