with respect to degree or order
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11—20 of 290 matching pages
11: 14.21 Definitions and Basic Properties
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14.21.1
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§14.21(iii) Properties
… ►This includes, for example, the Wronskian relations (14.2.7)–(14.2.11); hypergeometric representations (14.3.6)–(14.3.10) and (14.3.15)–(14.3.20); results for integer orders (14.6.3)–(14.6.5), (14.6.7), (14.6.8), (14.7.6), (14.7.7), and (14.7.11)–(14.7.16); behavior at singularities (14.8.7)–(14.8.16); connection formulas (14.9.11)–(14.9.16); recurrence relations (14.10.3)–(14.10.7). …12: 14.2 Differential Equations
13: 34.11 Higher-Order Symbols
§34.11 Higher-Order Symbols
…14: 30.1 Special Notation
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real variable. Except in §§30.7(iv), 30.11(ii), 30.13, and 30.14, . | |
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order, a nonnegative integer. | |
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15: 14.6 Integer Order
§14.6 Integer Order
►§14.6(i) Nonnegative Integer Orders
… ►§14.6(ii) Negative Integer Orders
… ►For connections between positive and negative integer orders see (14.9.3), (14.9.4), and (14.9.13). …16: 14.5 Special Values
17: 10.24 Functions of Imaginary Order
§10.24 Functions of Imaginary Order
… ►and , are linearly independent solutions of (10.24.1): … ►In consequence of (10.24.6), when is large and comprise a numerically satisfactory pair of solutions of (10.24.1); compare §2.7(iv). … … ►18: 10.45 Functions of Imaginary Order
§10.45 Functions of Imaginary Order
… ►and , are real and linearly independent solutions of (10.45.1): … ►The corresponding result for is given by … ► … ►19: 10.26 Graphics
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