Four classes of definite integrals about hyperbolic and trigonometric functions

DOI10.1134/s0965542523070084MaRDI QIDQ6053558

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Publication date: 19 October 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionhyperbolic functionstrigonometric functionsintegration by partsDirichlet beta functionLegendre's chi-function

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Gamma, beta and polygamma functions (33B15) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Convergence and divergence of integrals (40A10) Exponential and trigonometric functions (33B10)

Cites Work

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• (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
• Special Techniques for Solving Integrals
• Variations on a theme – Euler and the logsine integral
• Integrals evaluated in terms of Catalan's constant
• Special Integrals of Gradshteyn and Ryzhik
• Special Integrals of Gradshteyn and Ryzhik

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