Convergence and Inversion Theorems for Generalized Weierstrass Transform
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I.I. Hirschman, and D.V. Widder, The convolution transform, Princeton Univ. Press, (1955), pp.174-192.
A. H. Zemanian, The convolution transformation of certain generalized f unctions and its inversion, Bull. Amer. Math. Soc. 72 (1966), 725-727.
D. V. Widder, The Laplace transform, Princeton Univ. Press (1946), p.276.
H. Pollard, An inv. formula for the St. tr. , Duke. Math, Jl., vol. II, (1944), pp.301-318.
H. Pollard, The inv. of the tr. With reiterated St. Kernels, Duke Math. Jl., vol. 14, (1947), pp.129-142.
A. Erdelyi , T.I.T. vol. I, McGraw Hill book Co. (1954).
V.I. Fabricant, Elementary evaluation of certain infinite integral involving Bessel function Quarterly of applied mathematics vol. LIX, no. 1, Canada, (2001), pp.1-24.
A. Erdelyi , T.I.T. vol. II, McGraw Hill book Co. (1954).
A. K, Sinha, Applied Science periodical , Siwan, vol. XII, No-3 and vol. XII, no. 1 (2010).
V.P. Mainara, A new generalization of the Laplace transforms Bull. of the cal. Math. Soc., vol. 53, pp.23-31.
H.M. Srivastava, A note on a generating function for the generalized Hermite polynomials, Nederl. Akad. Wetensch. Proc. Ser. A 79; Indag. Math. 38 (1976), pp.457-461.