The Approximation of Laplace-Stieltjes Transforms in the Half Plane


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Authors

  • Gyan Prakash Rathore Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India
  • Anupma Rastogi Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India

Keywords:

Growth, Laplace-Stieltjes transform, approximation, $\gamma_{U}$-order

Abstract

In this paper, we study the growth of the analytic function represented by Laplace-Stieltjes transform of infinite order which is convergent in the right half plane. We also investigate the error in approximation defined on Laplace-Stieltjes transform of finite $\gamma_{U}$-order in the half plane, and some relations between the error and growth of Laplace-Stieltjes transform of finite $\gamma_{U}$-order.

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Published

15-06-2021

How to Cite

Gyan Prakash Rathore, & Anupma Rastogi. (2021). The Approximation of Laplace-Stieltjes Transforms in the Half Plane. International Journal of Mathematics And Its Applications, 9(2), 27–37. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/62

Issue

Vol. 9 No. 2 (2021)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.