Some Applications of Elliptic Integrals of First Kind
Keyword(s):
One of the most important applications of elliptic integrals in engineering mathematics is their usage to solve integrals of the form (Eq. 1), where is a rational algebraic function and is a polynomial of degree with no repeated roots. Nowadays, incomplete and complete elliptic integrals of first kind are estimated with high accuracy using advanced calculators. In this paper, several techniques are discussed to show how definite integrals of the form (Eq. 1) can be converted to elliptic integrals of the first kind, and hence be estimated for optimal values. Indeed, related examples are provided in each step to help clarification.
2017 ◽
Vol 73
(1)
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pp. 122-128
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2009 ◽
Vol 139
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pp. 417-426
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1996 ◽
Vol 116
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pp. 897-898
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pp. 1633-1660
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2019 ◽
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pp. 90-121
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1946 ◽
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pp. 26-36
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