Fuchsian equation

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1: 31.14 General Fuchsian Equation

§31.14 General Fuchsian Equation

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§31.14(i) Definitions

►The general second-order Fuchsian equation with $N+1$ regular singularities at $z=a_j$, $j=1,2,\mathrm{\dots },N$, and at $\mathrm{\infty }$, is given by … ►

$\alpha \beta ={\displaystyle \sum _{j=1}^N}{a}_j{q}_j.$

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Normal Form

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2: 31.15 Stieltjes Polynomials

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§31.15(i) Definitions

►Stieltjes polynomials are polynomial solutions of the Fuchsian equation (31.14.1). …

3: Bibliography E

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The Fuchsian equation of second order with four singularities. Duke Math. J. 9 (1), pp. 48–58.

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External Links:

Document, MathReview (R. E. Langer), ZentralBlatt

Referenced by:

§31.11(i).

Encodings:

BibTeX

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4: Ranjan Roy

… ►Roy has published many papers on differential equations, fluid mechanics, special functions, Fuchsian groups, and the history of mathematics. …