On a simple type of irregular singular point
نویسندگان
چکیده
منابع مشابه
On a Simple Type of Irregular
provided that a proper determination of the constant Ci be made. In the present paper I wish to consider the solutions of (1) in the vicinity of x = oo , but under the restriction that p (x) and q (x) have the form (2).f The method of attack is essentially the same as that which I have employed earlier in the consideration of singular points. Î In this special case the results may be given a mo...
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We give an algebraic construction of the moduli space of irregular singular connections of generic ramified type on a smooth projective curve. We prove that the moduli space is smooth and give its dimension. Under the assumption that the exponent of ramified type is generic, we give an algebraic symplectic form on the moduli space. Introduction Moduli space of irregular singular connections are...
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چکیده ندارد.
Asymptotic Solution with Respect to a Parameter of a Differential Equation Having an Irregular Singular Point
with v — 2 a positive real constant. The complex variable z is to be confined to a bounded neighborhood of the irregular singular point Zo. The analogous problem for a class of wth order differential equations, containing (1) for integral ^5:6, has been discussed by Hurd [2]. His analysis is somewhat complicated, and it appears that a clearer and more direct investigation of the asymptotic solu...
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• 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...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1913
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1913-1500958-3