The integrals in Gradshteyn and Ryzhik. Part 12: Some logarithmic integrals
Victor H. Moll, Ronald A. Posey
TL;DR
This paper evaluates specific logarithmic integrals involving rational functions with complex poles, illustrating methods through examples from Gradshteyn and Ryzhik's classical integral table.
Contribution
It provides explicit evaluations of logarithmic integrals with complex poles, expanding the known integral formulas in Gradshteyn and Ryzhik.
Findings
Explicit integral evaluations with complex poles
Methodological illustrations with classical examples
Enhanced reference for logarithmic integral computations
Abstract
We present the evaluation of some logarithmic integrals. The integrand contains a rational function with complex poles. The methods are illustrated with examples found in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik.
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Analytic Number Theory Research