Some Spectral Properties of Multiplicative Hermite Equation

Some Spectral Properties of Multiplicative Hermite Equation

We reconstruct the Multiplicative Hermite Equation from multiplicative Sturm-Liouville equation. A new representation of eigenfunctions for the constructed problem are obtained by the power series solution technique. While making these solutions, multiplicative Hermite polynomials were used strongly...

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Bibliographic Details
Published in:Fundamental journal of mathematics and applications Vol. 5; no. 1; pp. 32 - 41
Main Authors: GÖKTAŞ, Sertaç, YILMAZ, Emrah, YAR, Ayşe Çiğdem
Format: Journal Article
Language:English
Published: 01-03-2022
Online Access:Get full text
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Summary:We reconstruct the Multiplicative Hermite Equation from multiplicative Sturm-Liouville equation. A new representation of eigenfunctions for the constructed problem are obtained by the power series solution technique. While making these solutions, multiplicative Hermite polynomials were used strongly. We get a generator for multiplicative Hermite polynomials and construct integration representations for these polynomials. Finally, some spectral properties of the multiplicative Hermite problem are examined in detail.
ISSN:2645-8845
2645-8845
DOI:10.33401/fujma.973155