The multivariate Laplace-De Moivre Theorem
نویسندگان
چکیده
منابع مشابه
The Pascal-de Moivre Triangles*
The coefficients of the Pascal triangle were generalized in 1756 by de Moivre [5]. Each row of a Pascal triangle contains a sequence of numbers that are the coefficients of the power series expansion for the binary expression (l + x)^. The de Moivre formula [2], [4], [5], [6] derives the coefficients of the power series for the generalized expansion of (1 + x + x + • • • + x^"^). Thus, for inte...
متن کاملDe Moivre on the Law of Normal Probability
Abraham de Moivre (1667-1754) left France at the revocation of the Edict of Nantes and spent the rest of his life in London. where he solved problems for wealthy patrons and did private tutoring in mathematics. He is best known for his work on trigonometry, probability. and annuities. On November 12, 1733 he presented privately to some friends a brief paper of seven pages entitled “Approximatio...
متن کاملExtension of “A multivariate convergence theorem of the “de Montessus de Ballore” type” to multipoles
The univariate theorem deals with the case of simple poles as well as with the case t multiple poles. The former means that we have information on the denominator of th meromorphic function while the latter means that we also have information on the derivative ef that denominator. Up to now w-e o+ ,...; prtivcd a multivariate analogon of the univariate d Montessus dc Baiiore theorem for the cas...
متن کاملA multivariate convergence theorem of the “de Montessus de Ballore” type
The univariate theorem of “de Montessus de Ballore” proves the convergence of column sequences of Pad6 approximants for functions f(z) meromorphic in a disk, in case the number of poles of f(z) and their multiplicity is known in advance. We prove here a multivariate analogon for the case of “simple” poles and for the general order Pad& approximants as introduced by Cuyt and Verdonk (1984).
متن کاملA De Moivre like Formula for Fixed Point Theory
Suppose V is a vectorfield on a compact manifold M with or without boundary ∂M . There is a formula, originally due to Marston Morse [Mo] in 1929, which is not as widely known as it should be. It was rediscovered in 1968 by C. Pugh [P] and by the author [G] in 1985. The formula related the index of the vectorfield V with the index of a vectorfield on part of the boundary. This formula, like de ...
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: Journal of Multivariate Analysis
سال: 1986
ISSN: 0047-259X
DOI: 10.1016/0047-259x(86)90057-6