Regular singular asymptotics
نویسندگان
چکیده
منابع مشابه
Asymptotics at irregular singular points
• Introduction 1. Example: rotationally symmetric eigenfunctions on R 2. Example: translation-equivariant eigenfunctions on H 3. Beginning of construction of solutions 4. K(x, t) is bounded 5. End of construction of solutions 6. Asymptotics of solutions 7. Appendix: asymptotic expansions • Bibliography According to [Erdélyi 1956], Thomé [1] found that differential equations with finite rank irr...
متن کاملRegular Variation and Smile Asymptotics
We consider risk-neutral returns and show how their tail asymptotics translate directly to asymptotics of the implied volatility smile, thereby sharpening Roger Lee’s celebrated moment formula. The theory of regular variation provides the ideal mathematical framework to formulate and prove such results. The practical value of our formulae comes from the vast literature on tail asymptotics and o...
متن کاملSingular Cosmological Instantons Made Regular
The singularity present in cosmological instantons of the Hawking-Turok type is resolved by a conformal transformation, where the conformal factor has a linear zero of codimension one. We show that if the underlying regular manifold is taken to have the topology of RP 4, and the conformal factor is taken to be a twisted field so that the zero is enforced, then one obtains a genuine saddle point...
متن کاملThe Asymptotics of Strongly Regular Graphs
A strongly regular graph is called trivial if it or its complement is a union of disjoint cliques. We prove that the parameters n; k; ; of nontrivial strongly regular graphs satisfy = k=n+ o (n) and = k=n+ o (n) : It follows, in particular, that every in nite family of nontrivial strongly regular graphs is quasi-random in the sense of Chung, Graham and Wilson. 1 Introduction Our graph-theoretic...
متن کاملNon-regular processes and singular Kalman filtering
Contrary to the continuous-time case, a discrete-time process y can be represented by minimal linear models (see (1.1) below), which may either have a non-singular or a singular D matrix. In fact, models with D = 0 have been commonly used in the statistical literature. On the other hand, for models with a singular D matrix the Riccati difference equation of Kalman filtering involves in general ...
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 Mathematics
سال: 1985
ISSN: 0001-8708
DOI: 10.1016/0001-8708(85)90114-8