Some integrals involving k gamma and k digamma function | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 28, Issue 1, June 2020, Pages 1-10 PDF (491.2 K) | ||
| DOI: 10.1186/s42787-020-00098-0 | ||
| Author | ||
| Saeed Ahmed | ||
| Govt Shah Hussain Degree College, Lahore, Pakistan | ||
| Abstract | ||
| In this paper, some new integrals involving k gamma function and k digamma function have been established. An integral is established involving k gamma function, and its special values are discussed. Similarly, some new integrals have been established for k digamma function, and different elementary function is associated with it for different values of k. A nice representation of the EulerMascheroni constant and π in the form of k digamma function for different values of k is also obtained. | ||
| Keywords | ||
| k gamma function; k digamma functionk gamma function; k digamma function | ||
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