A Connection Between Elementary Functions and Higher Transcendental Functions

If f is holomorphic on a domain D in the complex plane, an analogous function F of several complex variables is constructed by taking a weighted average of f over the convex hull of {z1, z2, ⋯, zk}. Although F is defined at first only if the convex hull is contained in D, it is shown later that F ca...

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Bibliographic Details

Published in:	SIAM journal on applied mathematics Vol. 17; no. 1; pp. 116 - 148
Main Author:	Carlson, B. C.
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.01.1969
Subjects:	Analytic functions Applied mathematics Entire functions Integers Integrals Integrands Line segments Mathematical functions Mathematical independent variables Partial differential equations Polynomials Rectifiable curves Series convergence Variables
ISSN:	0036-1399, 1095-712X
Online Access:	Get full text
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