[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 contourThe 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).Sánchez Ruiz, LM.; Legua, M. (2018)...
AbstractWe consider the remainder term of the Gauss–Turán quadrature formulaeRn,s(f)=∫-11w(t)f(t)dt-...
Cauchy-Goursat integral theorem is pivotal, fundamentally important, and well celebrated result in c...
AbstractWe consider the generalized Gauss–Turán quadrature formulae of Radau and Lobatto type for ap...
This paper mainly intends to integrate the multivalued function on the complex plane by using contou...
AbstractThis paper deals with the study of particular functions of a complex variable which enable t...
Complex numbers, complex functions, singularity, analytic function, integrable functions, Cauchy's t...
Cauchy principal value is a standard method applied in mathematical applications by which an imprope...
[EN] Cauchy principal value is a standard method applied in mathematical applications by which an im...
We evaluate another integral similar to that in parts 1 and 2 but containing a sine rather than a co...
Abstract: In this paper, a series of important ways on the calculation of complex integration are g...
Many formulas of improper integrals are shown every day and need to be solved in different areas of ...
The method of steepest descents is the most usual technique used for constructing asymptotic represe...
An expression in terms of a contour integral for the remainder term in a numerical integration form...
Mathematical models of problems in the physical and dynamic sciences often lead to solutions represe...
The object of this is to evaluate contour integrals for G-function of two variables. Some results fo...
AbstractWe consider the remainder term of the Gauss–Turán quadrature formulaeRn,s(f)=∫-11w(t)f(t)dt-...
Cauchy-Goursat integral theorem is pivotal, fundamentally important, and well celebrated result in c...
AbstractWe consider the generalized Gauss–Turán quadrature formulae of Radau and Lobatto type for ap...
This paper mainly intends to integrate the multivalued function on the complex plane by using contou...
AbstractThis paper deals with the study of particular functions of a complex variable which enable t...
Complex numbers, complex functions, singularity, analytic function, integrable functions, Cauchy's t...
Cauchy principal value is a standard method applied in mathematical applications by which an imprope...
[EN] Cauchy principal value is a standard method applied in mathematical applications by which an im...
We evaluate another integral similar to that in parts 1 and 2 but containing a sine rather than a co...
Abstract: In this paper, a series of important ways on the calculation of complex integration are g...
Many formulas of improper integrals are shown every day and need to be solved in different areas of ...
The method of steepest descents is the most usual technique used for constructing asymptotic represe...
An expression in terms of a contour integral for the remainder term in a numerical integration form...
Mathematical models of problems in the physical and dynamic sciences often lead to solutions represe...
The object of this is to evaluate contour integrals for G-function of two variables. Some results fo...
AbstractWe consider the remainder term of the Gauss–Turán quadrature formulaeRn,s(f)=∫-11w(t)f(t)dt-...
Cauchy-Goursat integral theorem is pivotal, fundamentally important, and well celebrated result in c...
AbstractWe consider the generalized Gauss–Turán quadrature formulae of Radau and Lobatto type for ap...