PageHeader : Funkcialaj Ekvacioj, 36 (1993) 251-273
Title : Relations of Equations of Euler, Hermite and Weber
Title : via the Heat Equation
AuthorInfo : By
AuthorInfo : Masatake MIYAKE
AuthorInfo : (Nagoya University, Japan)
AuthorInfo : Dedicated to Professor Masanori Kishi on his 60th birthday
section : 1. Introduction
section : 2. Preliminary
section : 3. Results
subsection : 3.1. The Euler equation (Eu) $\lambda$
subsection : 3.2. Symmetry of the heat equation.
subsection : 3.3. The equations (Hr) $\lambda$ and (Wb) $\lambda$ .
section : 4. Miscellaneous results
subsection : 4.1. Fourier transformation.
subsection : 4.2. Ascending and descending operators. The expressions
subsection : 4.3. Developments in Hermite polynomials.
section : Appendix Proof of Proposition 4.1. The following lemma is useful to prove Proposition 4.1.
section : References