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학술저널

FURTHER LOG-SINE AND LOG-COSINE INTEGRALS

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Motivated essentially by their potential for applica- tions in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the exist-ing literature on the subject, in many di??erent ways. Very recently, Choi [6] presented explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta func-tion. In the present sequel to the investigation [6], we evaluate the log-sine and log-cosine integrals involved in more complicated integrands than those in [6], by also using the Beta function.

1. Introduction and preliminaries

2. Some properties and special values of the Psi and Gamma functions

3. Log-Sine and its related integrals

4. Concluding remarks

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