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Integral of radical trigonometric functions revisited [PDF]
, 2016 This article revisits an integral of radical trigonometric functions. It presents several methods of integration where the integrand takes the form $\sqrt{1 \pm \sin x}$ or $\sqrt{1 \pm \cos x}$. The integral has applications in Calculus where it appears
Karjanto, N., Yermukanova, B.
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A new structure of an integral operator associated with trigonometric Dunkl settings [PDF]
Advances in Difference Equations, 2021 In this paper, we discuss a generalization to the Cherednik–Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolution products. Then we prove that the extended
Shrideh Khalaf Al-Omari +2 more
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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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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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Novel Multivariate Integral Operators Incorporating Trigonometric Transformations
Pan-American Journal of MathematicsThe creation of new nonlinear multivariate integral operators is motivated by the need for mathematical tools that can handle the complex interdependencies that naturally arise in contemporary applications.
Christophe Chesneau
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Representation of a trigonometric integral via combinatorial sums [PDF]
Discrete Mathematics LettersHorst Alzer, Man Kam Kwong
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Evaluation of a Trigonometric Integral [PDF]
Proceedings of the American Mathematical Society, 1957 R. K. Mohanty
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On Some Trigonometric and Inverse Trigonometric Integral Formulas
Annals of Communications in MathematicsThis paper presents a new collection of trigonometric and inverse trigonometric integral formulas based on a known integral result. Some of these formulas evaluate to zero, while others are notable for their connection to well-known mathematical constants, such as π,√ 2, and the Catalan constant.
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Modified Trigonometric Integrators [PDF]
SIAM Journal on Numerical Analysis, 2014 20 pages, 8 figures; v2: minor revisions and ...
McLachlan, Robert I., Stern, Ari
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Discrete complementary exponential and sine integral functions
Demonstratio Mathematica, 2023 Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
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