Some Spectral Properties of Multiplicative Hermite Equation

Authors : Sertaç Göktaş, Emrah Yilmaz, Ayşe Çiğdem Yar

Pages : 32-41

Doi:10.33401/fujma.973155

View : 16 | Download : 8

Publication Date : 2022-03-01

Article Type : Research

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