Frobenius solution of the Bessel equation and its indicial equation (Q1670): Difference between revisions
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| Property / instance of: mathematical expression / rank | |||
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| Property / LaTeX source: x^{2}y''+x\\,y'+(x^{2}-\\nu^{2})\\,y=0;\\qquad r^{2}-\\nu^{2}=0\\ \\Rightarrow\\ r=\\pm\\nu;\\qquad y=C_{1}J_{\\nu}(x)+C_{2}Y_{\\nu}(x) / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
x^{2}y''+x\\,y'+(x^{2}-\\nu^{2})\\,y=0;\\qquad r^{2}-\\nu^{2}=0\\ \\Rightarrow\\ r=\\pm\\nu;\\qquad y=C_{1}J_{\\nu}(x)+C_{2}Y_{\\nu}(x) | |||
| Property / LaTeX source: x^{2}y''+x\\,y'+(x^{2}-\\nu^{2})\\,y=0;\\qquad r^{2}-\\nu^{2}=0\\ \\Rightarrow\\ r=\\pm\\nu;\\qquad y=C_{1}J_{\\nu}(x)+C_{2}Y_{\\nu}(x) / rank | |||
Normal rank | |||
Latest revision as of 07:28, 4 September 2026
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Frobenius solution of the Bessel equation and its indicial equation |
No description defined |
Statements
x^{2}y''+x\\,y'+(x^{2}-\\nu^{2})\\,y=0;\\qquad r^{2}-\\nu^{2}=0\\ \\Rightarrow\\ r=\\pm\\nu;\\qquad y=C_{1}J_{\\nu}(x)+C_{2}Y_{\\nu}(x)
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