Sánchez Ruiz, LM.; Legua, M. (2018). Evaluating the glauert integral via complex contour integral. Bulletin of the Calcutta Mathematical Society. 110(1):31-40. http://hdl.handle.net/10251/119054
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/119054
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Title:
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Evaluating the glauert integral via complex contour integral
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Author:
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Sánchez Ruiz, Luis Manuel
Legua, M.
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] Glauert¿s type integrals involve an improper integral of a trigonometric function which
is unbounded at a given intermediate point of the interval of integration. In this paper we show
a straightforward method to ...[+]
[EN] Glauert¿s type integrals involve an improper integral of a trigonometric function which
is unbounded at a given intermediate point of the interval of integration. In this paper we show
a straightforward method to evaluate this relevant integral with application in Aerodynamics. Our
method is almost a serendipity application of the residue theorem when we handle adequate Cauchy
principal value contour integrals of holomorphic functions except at finitely many pole of order one
located on the contour
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Copyrigths:
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Cerrado |
Source:
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Bulletin of the Calcutta Mathematical Society. (issn:
0008-0659
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Publisher:
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Calcutta Mathematical Society.
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Publisher version:
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http://www.calmathsociety.org/bulletin-overview.html
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Thanks:
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The authors are grateful to Calcutta Mathematical Society (Kolkata, India) and Aerospace Engineering Faculty at the School of Engineering Design in Universitat Politècnica de València (Valencia, Spain).
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Type:
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Artículo
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