Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BMSA > BMSA Volume 13 > Convergence and Inversion Theorems for Generalized...
< Back to Volume

Convergence and Inversion Theorems for Generalized Weierstrass Transform

Full Text PDF


In this paper , we study the Weierstrass Transformation of certain generalized functions and their convolution transformation of certain generalised function and its inversion . We extend such type of results of convergence and inversion theorems for generalized weierstrass transforms (1.1) and (1.2).


Bulletin of Mathematical Sciences and Applications (Volume 13)
A.K. Thakur and P. Tamrakar, "Convergence and Inversion Theorems for Generalized Weierstrass Transform", Bulletin of Mathematical Sciences and Applications, Vol. 13, pp. 6-12, 2015
Online since:
October 2015

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.

Show More Hide
Cited By:
This article has no citations.