Scientia Series A: Mathematical Sciences

Vol. 27 (2016)
Articles

The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions.

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  • Tewodros Amdeberhan,
  • Atul Dixit,
  • Xiao Guan,
  • Lin Jiu,
  • Alexey Kuznetsov,
  • Victor H. Moll,
  • Christophe Vignat
Tewodros Amdeberhan
Department of Mathematics, Tulane University, New Orleans, LA 70118
Atul Dixit
Department of Mathematics, Tulane University, New Orleans, LA 70118.
Xiao Guan
Department of Mathematics, Tulane University, New Orleans, LA 70118.
Lin Jiu
Department of Mathematics, Tulane University, New Orleans, LA 70118.
Alexey Kuznetsov
Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada, M3J 1P3
Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118
Christophe Vignat
Department of Mathematics, Tulane University, New Orleans, LA 70118 and, Dept. of Physics, Universite Orsay Paris Sud, L. S. S./Supelec, France

Published 2016-04-03

Keywords

  • Integrals,
  • trigonometric function

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How to Cite

The integrals in Gradshteyn and Ryzhik. Part 30: Trigonometric functions. (2016). Scientia Series A: Mathematical Sciences, 27, 47-74. https://revistas.usm.cl/scientia/article/view/204

Abstract

The table of Gradshteyn and Ryzhik contains many integrals that involve trigonometric functions. Evaluations are presented for integrands containing products of trigonometric functions and products of trigonometric functions and Legendre polynomials, logarithms, Bessel functions, and the Gauss hypergeometric function. 

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