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September 2018 Connection problems and matrix representations for certain hybrid polynomials
Subuhi Khan, Tabinda Nahid
Tbilisi Math. J. 11(3): 81-93 (September 2018). DOI: 10.32513/tbilisi/1538532028

Abstract

In this paper, we deal with the connection and duplication problems associated with the hybrid Sheffer family. The hybrid Sheffer polynomials are also studied via matrix approach. The properties of these polynomials are established using simple matrix operations. Examples providing the corresponding results for certain members of the hybrid Sheffer family are considered. This article is first attempt in the direction of obtaining connection and duplication coefficients and matrix representations for the hybrid polynomials.

Funding Statement

This work has been done under Senior Research Fellowship (Award letter No. F./2014-15/NFO-2014-15-OBC-UTT-24168/(SA-III/Website)) awarded to the second author by the University Grants Commission, Government of India, New Delhi.

Citation

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Subuhi Khan. Tabinda Nahid. "Connection problems and matrix representations for certain hybrid polynomials." Tbilisi Math. J. 11 (3) 81 - 93, September 2018. https://doi.org/10.32513/tbilisi/1538532028

Information

Received: 17 March 2018; Accepted: 17 August 2018; Published: September 2018
First available in Project Euclid: 3 October 2018

zbMATH: 07172277
MathSciNet: MR3954196
Digital Object Identifier: 10.32513/tbilisi/1538532028

Subjects:
Primary: 33F10
Secondary: 11B83, 15A16, 41A58, 68W30

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 3 • September 2018
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