Some Spectral Properties of Multiplicative Hermite Equation

Sertaç Göktaş, Emrah Yılmaz, Ayşe Çiğdem YAR

Type: Article

Publication Date: 2022-02-05

Citations: 3

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

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.

Locations

Fundamental Journal of Mathematics and Applications - View - PDF
DergiPark (Istanbul University) - View - PDF

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+	The left-definite spectral theory for the classical Hermite differential equation	2000	W. N. Everitt Lance L. Littlejohn R. Wellman
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+ PDF Chat	Spectral Theory of the Hermite Operator on<i>L</i><sup><i>p</i></sup>(R<sup><i>n</i></sup>)	2014	Xiaoxi Duan
+	Product integrals and sum integrals	1983	R. A. Guenther
+ PDF Chat	Spectral analysis for the generalized Hermite polynomials	1994	Allan M. Krall
+	An introduction to non‐Newtonian calculus	1979	Michael Grossman
+ PDF Chat	Multiplicative Calculus in Biomedical Image Analysis	2011	Luc Florack Hans C. van Assen
+	A New Extension of Generalized Hermite Matrix Polynomials	2014	Lalit Mohan Upadhyaya Ayman Shehata
+	Inverse problems for differential operators with singular boundary conditions	2005	Gerhard Freiling Vjacheslav Yurko
+	On moments of classical orthogonal polynomials	2014	P. Njionou Sadjang W. Koepf M. Foupouagnigni