classification
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1—10 of 14 matching pages
1: 31.14 General Fuchsian Equation
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2: 16.21 Differential Equation
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►With the classification of §16.8(i), when the only singularities of (16.21.1) are a regular singularity at and an irregular singularity at .
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3: 16.8 Differential Equations
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§16.8(i) Classification of Singularities
…4: 17.4 Basic Hypergeometric Functions
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§17.4(iv) Classification
…5: 31.2 Differential Equations
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►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).
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6: 31.12 Confluent Forms of Heun’s Equation
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7: 2.7 Differential Equations
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►All solutions are analytic at an ordinary point, and their Taylor-series expansions are found by equating coefficients.
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►To include the point at infinity in the foregoing classification scheme, we transform it into the origin by replacing in (2.7.1) with ; see Olver (1997b, pp. 153–154).
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►This phenomenon is an example of resurgence, a classification due to Écalle (1981a, b).
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8: 2.8 Differential Equations with a Parameter
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§2.8(i) Classification of Cases
…9: Software Index
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A Classification of Software
…10: 16.4 Argument Unity
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