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d-Orthogonality of q-Sheffer Polynomials | Synapse

April 10, 2026Open Access

d-Orthogonality of q-Sheffer Polynomials

Key Points

The research aims to determine the conditions under which q-Sheffer polynomials exhibit d-orthogonality.
Analyzed the properties of q-Sheffer polynomials
Identified conditions for d-orthogonality
Presented an example to illustrate findings
Established necessary and sufficient conditions for d-orthogonality
Provided an example that reveals previously known d-orthogonal polynomial sets

Abstract

In this paper, we find necessary and sufficient conditions for q-Sheffer polynomials to be d-orthogonal. Moreover, an example is presented and with the help of this example, we rediscover some known d-orthogonal polynomial sets.

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Authors

S

Serhan Varma

E

Eylül Emine Göçmez

Journals

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

Actions

Institutions

Ankara University

References and Citations

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Cite this study

Varma et al. (Mon,) studied this question.

www.synapsesocial.com/papers/69d894326c1944d70ce052e6 — DOI: https://doi.org/10.31801/cfsuasmas.1648887