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1: 31.14 General Fuchsian Equation
α β = j = 1 N a j q j .
2: 16.21 Differential Equation
With the classification of §16.8(i), when p < q the only singularities of (16.21.1) are a regular singularity at z = 0 and an irregular singularity at z = . …
3: 16.8 Differential Equations
§16.8(i) Classification of Singularities
4: 17.4 Basic Hypergeometric Functions
§17.4(iv) Classification
5: 31.2 Differential Equations
All other homogeneous linear differential equations of the second order having four regular singularities in the extended complex plane, { } , can be transformed into (31.2.1). …
6: 31.12 Confluent Forms of Heun’s Equation
7: 2.7 Differential Equations
All solutions are analytic at an ordinary point, and their Taylor-series expansions are found by equating coefficients. … To include the point at infinity in the foregoing classification scheme, we transform it into the origin by replacing z in (2.7.1) with 1 / z ; see Olver (1997b, pp. 153–154). … This phenomenon is an example of resurgence, a classification due to Écalle (1981a, b). …
8: 2.8 Differential Equations with a Parameter
§2.8(i) Classification of Cases
9: Software Index
A Classification of Software
10: 16.4 Argument Unity
§16.4(i) Classification