LAPLACE TRANSFORMS FOR SUPEREXPONENTIAL FUNCTIONS

被引：3

作者：

DEAKIN, MAB

机构：

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1994年 / 36卷

关键词：

D O I：

10.1017/S0334270000010201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is usually stated that the Laplace transform cannot be applied to most superexponential functions; indeed this limitation is sometimes represented as a deficiency of the technique. It is shown here that a generalisation ser-ves to overcome much of the force of this objection. The generalisation is based on one first proposed over fifty years ago, but which is not widely known, nor was it ever worked out in detail.

引用

页码：17 / 25

页数：9

共 15 条

[1]

Abramowitz M., 1968, HDB MATH FUNCTIONS

[2]

Berg L., 1967, INTRO OPERATIONAL CA

[3]

Erdelyi A, 1953, HIGHER TRANSCENDENTA

[4]

Erdelyi A., 1954, TABLES INTEGRAL TRAN, VI

[5] NONOVERLAPPING PARTITIONS, CONTINUED FRACTIONS, BESSEL-FUNCTIONS AND A DIVERGENT SERIES [J].

FLAJOLET, P ;

SCHOTT, R .

EUROPEAN JOURNAL OF COMBINATORICS, 1990, 11 (05) :421-432

[6] ON THE LAPLACE TRANSFORM OF THE G-FUNCTION [J].

INAYATHUSSAIN, AA ;

BUCKINGHAM, MJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (15) :L875-L876

[7]

Krabbe G, 1970, OPERATIONAL CALCULUS

[8]

LIVERMAN TPG, 1964, GENERALIZED FUNCTION

[9]

Mikusinski J, 1956, STUD MATH, V15, P225

[10]

OLVER FWJ, 1974, ASYMPTOTICS SPECIAL

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