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On the Nörlund-Rice Integral Formula
R.Sivaraman1, M. Muniru Iddrisu2, J. López-Bonilla3

1Dr. R. Sivaraman, Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai 600 106, India.

2M. Muniru Iddrisu, Department of Mathematics, Faculty of Physical Sciences, University for Development Studies, Tamale, Ghana.

3Prof. J. López-Bonilla, ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, México. 

Manuscript received on 17 August 2024 | Revised Manuscript received on 29 August 2024 | Manuscript Accepted on 15 October 2024 | Manuscript published on 30 October 2024 | PP: 7-9 | Volume-4 Issue-2, October 2024 | Retrieval Number: 100.1/ijam.B117504021024 | DOI: 10.54105/ijam.B1175.04021024

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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: After introducing the famous Nörlund-Rice integral formula, we apply it to Laguerre polynomials, Melzak’s relation, and Stirling numbers of the second kind to obtain nice expressions.

Keywords: Stirling numbers, Nörlund-Rice integral, Melzak’s identity, Laguerre polynomials.
Scope of the Article: Calculus