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,
β¦ LIBER β¦
Certain multidimensional integral transformations (II)
β 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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β¦ 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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