On Lambe's infinite integral formula
نویسندگان
چکیده
منابع مشابه
On Sonine's Integral Formula and Its Generalization
according as a triangle can, or cannot, be constructed with sides a, b, c* The area of the triangle is denoted by A. Derivation of (1.2) may be established by means of a limiting process from either Dougall's integral formula or Dougall's expansion formula, both of which involve the product of three ultra-spherical polynomials [5, pp. 379382]. I t has further been remarked [5, p. 375] that a pr...
متن کاملAn Integral Duality Formula
We establish an integral formula for the duality between multilinear forms/homogeneous polynomials and tensor products for dual spaces with the approximation property and for which the injective tensor products of their preduals is separable and does not contain a copy of `1. We deduce some multilinear Bishop-Phelps-type results. Although spaces of multilinear forms and homogeneous polynomials ...
متن کاملOn an integral formula on hypersurfaces in General Relativity
We derive a general integral formula on an embedded hypersurface for general relativistic space-times. Suppose the hypersurface is foliated by two-dimensional compact “sections” Ss. Then the formula relates the rate of change of the divergence of outgoing light rays integrated over Ss under change of section to geometric (convexity and curvature) properties of Ss and the energy-momentum content...
متن کاملAN INTRODUCTION TO THE THEORY OF DIFFERENTIABLE STRUCTURES ON INFINITE INTEGRAL DOMAINS
A special class of differentiable functions on an infinite integral domain which is not a field is introduced. Some facts about these functions are established and the special case of z is studied in more detail
متن کاملOn the $c_{0}$-solvability of a class of infinite systems of functional-integral equations
In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The a...
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: Proceedings of the Edinburgh Mathematical Society
سال: 1940
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500024640