Some Spectral Properties of Multiplicative Hermite Equation

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Fundamental Journal of Mathematics and Applications
Volume:5 Issue:1
Some Spectral Properties of Multiplicative Hermite Equation

Some Spectral Properties of Multiplicative Hermite Equation

Authors : Sertaç GÖKTAŞ, Emrah YILMAZ, Ayşe Çiğdem YAR

Pages : 32-41

Doi:10.33401/fujma.973155

View : 24 | Download : 12

Publication Date : 2022-03-01

Article Type : Research Paper

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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