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More Trigonometric Integrals [PDF]
Mathematics of Computation, 1984 Integrals of the form \[ ∫ 0 π / 2 e i p θ cos
Henry E. Fettis
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Some Divergent Trigonometric Integrals [PDF]
The American Mathematical Monthly, 2001 to appear in a slightly different version in Amer.
Erik Talvila
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Simultaneous Contour Method of a Trigonometric Integral by Prudnikov et al. [PDF]
Mathematics, 2021 In this present work we derive, evaluate and produce a table of definite integrals involving logarithmic and exponential functions. Some of the closed form solutions derived are expressed in terms of elementary or transcendental functions.
Robert Reynolds, Allan Stauffer
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Trigonometric P-function is defined as a special case of h-convex function. In this article, we used a general lemma that gives trapezoidal, midpoint, Ostrowski, and Simpson type inequalities.
Sercan Turhan
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Addition formulas of leaf functions according to integral root of polynomial based on analogies of inverse trigonometric functions and inverse lemniscate functions [PDF]
, 2017 The second derivative of a function r(t) with respect to a variable t is equal to -n times the function raised to the 2n-1 power of r(t); using this definition, an ordinary differential equation is constructed.
Kazunori Shinohara
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On some trigonometric integrals [PDF]
Mathematics of Computation, 1980 Expressions are obtained for the integrals \[ I λ ( p ) = ∫ 0 π / 2 (
Henry E. Fettis
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A boundary integral equation method for the fluid-solid interaction problem
Communications in Analysis and Mechanics, 2023 In this paper, a boundary integral equation method is proposed for the fluid-solid interaction scattering problem, and a high-precision numerical method is developed.
Yao Sun, Pan Wang, Xinru Lu , Bo Chen
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The Lebesgue summability of trigonometric integrals
Journal of Mathematical Analysis and Applications, 2012 AbstractMotivated by the notion of Lebesgue summability of trigonometric series, we define the Lebesgue summability of trigonometric integrals in terms of the symmetric differentiability of the sum of the formally integrated trigonometric integral in question.
Ferenc Móricz
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On Double Trigonometric Integrals [PDF]
Transactions of the American Mathematical Society, 1952 converges uniformly (or more generally is uniformly summable (C, k)) to zero as w-+ oc. Moreover, the coefficients am exhibit a regularity in their behavior as i m oo which is connected with that of ?(u). This result enables one to obtain theorems about the behavior of trigonometric integrals from the known theorems about trigonometric series.
Leonard D. Berkovitz
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Cubic Trigonometric Spline for Solving Nonlinear Volterra Integral Equations
Iraqi Journal of Science, 2019 In this paper, cubic trigonometric spline is used to solve nonlinear Volterra integral equations of second kind. Examples are illustrated to show the presented method’s efficiency and convenience.
Nabaa N. Hasan, Majid R. Nasif
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