Definite integrals involving product of logarithmic functions and logarithm of square root functions expressed in terms of special functions
The derivation of integrals in the table of Gradshteyn and Ryzhik in terms of closed form solutions is always of interest. We evaluate several of these definite integrals of the form $\int_{0}^{\infty}\ln^k(\alpha y)\ln(R(y))dy$ in terms of a special function, where $R(y)$ is a general function and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020367/fulltext.html |