Legendre elliptic integrals
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11—20 of 76 matching pages
11: 22.12 Expansions in Other Trigonometric Series and Doubly-Infinite Partial Fractions: Eisenstein Series
12: 19.1 Special Notation
13: 29.10 Lamé Functions with Imaginary Periods
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29.10.2
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14: 23.7 Quarter Periods
15: 19.5 Maclaurin and Related Expansions
16: 29.13 Graphics
17: 19.14 Reduction of General Elliptic Integrals
§19.14 Reduction of General Elliptic Integrals
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19.14.1
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19.14.2
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►Legendre (1825–1832) showed that every elliptic integral can be expressed in terms of the three integrals in (19.1.2) supplemented by algebraic, logarithmic, and trigonometric functions.
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18: 22.16 Related Functions
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Relation to Elliptic Integrals
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22.16.28
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22.16.29
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Relation to the Elliptic Integral
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…19: 22.3 Graphics
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