Abstract
In this paper two different generalisations of the Stieltjes transform have been given along with their inversion formulae. The results are given in the form of two theorems. These two theorems yield many known generalisations of the transform in question as particular cases on specializing the parameters involved therein.
Similar content being viewed by others
References
Bromwich T. J. l'A.,An introduction to the theory of infinite series, London (1931).
Erdélyi A.,Higher Transcendental functions Vol. 1, McGraw Hill (1953).
Erdélyi A.,Tables of integral transforms, Vol. 2, McGraw Hill (1954).
Masood S. and Jaiswal M. P.,On a generalisation of Laplace transform (Communicated for publication).
Pandey R. N., Ph. D. Thesis on “A study of a generalised Laplace transform” approved by the Banaras Hindu University (1964).
Pollard H.,On Stieltjes integral equation, Ann. of Math. 46 (1945), 83–87.
Snehlata,On generalisation of Stieltjes transforms, Proc. Nat. Acad. Sci., India, Sec. A; Vol. 21 (1952), 180–189.
Titchmarsh E. C.Introduction to the theory of Fourier Integrals, Oxford (1937).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jaiswal, M.P. On generalisations of Stieltjes transform. Rend. Circ. Mat. Palermo 18, 40–48 (1969). https://doi.org/10.1007/BF02888944
Issue Date:
DOI: https://doi.org/10.1007/BF02888944