substitution of
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11—20 of 58 matching pages
11: 19.34 Mutual Inductance of Coaxial Circles
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12: 22.10 Maclaurin Series
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►Further terms may be derived by substituting in the differential equations (22.13.13), (22.13.14), (22.13.15).
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13: 2.9 Difference Equations
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, and higher coefficients are determined by formal substitution.
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►The coefficients and constant are again determined by formal substitution, beginning with when , or with when .
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14: 19.28 Integrals of Elliptic Integrals
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15: 1.13 Differential Equations
16: 18.23 Hahn Class: Generating Functions
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17: 20.11 Generalizations and Analogs
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►With the substitutions
, , with , we have
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18: 28.33 Physical Applications
19: 10.41 Asymptotic Expansions for Large Order
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►To establish (10.41.12) we substitute into (10.34.3), with and replaced by , by means of (10.41.13) observing that when is large the effect of replacing by is to replace , , and by , , and , respectively.
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►Lastly, we substitute into (10.4.4), again with replaced by .
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