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Certain multidimensional integral transformations (II)

✍ Scribed by H.M. Srivastava; Rekha Panda


Book ID
103998150
Publisher
Elsevier Science
Year
1978
Weight
550 KB
Volume
81
Category
Article
ISSN
1385-7258

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✦ Synopsis


About a decade ago , Srivastava [22] studied an elegant unification of several known generalizations of the classical Laplace transform in the form (see also [23], p. 141, Equation (1.7)) 00 (5.1) e;~~,:,~{F(t) : p} = S (pt)a-l exp ( -! qp t) W k,m(ept)F(t)dt, o where W k.m(Z) denotes the familiar Whittaker function, and if the function P(t) is pie cewise continuous in every finite interval 0 < t ~R, R > 0, and


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Certain multidimensional integral transf
✍ H.M. Srivastava; Rekha Panda πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science βš– 580 KB

The obj ect of this paper is to introduce a general multiple integral transformation whose kernel in volves the H -funct ion of several com plex variables, which was defined and studied elsewhere by the present authors ([25], [26] and [27]). This integral transform, defined by Equation (1.1) below,