• 제목/요약/키워드: log-sine and log-cosine integrals

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LOG-SINE AND LOG-COSINE INTEGRALS

  • Choi, Junesang
    • 호남수학학술지
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    • 제35권2호
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    • pp.137-146
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    • 2013
  • Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many different ways. The main object of this paper is to present explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta function.

FURTHER LOG-SINE AND LOG-COSINE INTEGRALS

  • Choi, Junesang
    • 충청수학회지
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    • 제26권4호
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    • pp.769-780
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    • 2013
  • Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many different 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 function. 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.