Some Spectral Properties of Multiplicative Hermite Equation

Year 2022, Volume: 5 Issue: 1, 32 - 41, 01.03.2022

Sertaç Göktaş Emrah Yılmaz Ayşe Çiğdem Yar

https://doi.org/10.33401/fujma.973155

Cited By: 1

Abstract

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.

Keywords

Hermite equation, Multiplicative calculus, Multiplicative Sturm-Liouville equation

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