Some integrals involving k gamma and k digamma function | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 28, Issue 1, June 2020, Page 1-10 PDF (491.2 K) | ||||
DOI: 10.1186/s42787-020-00098-0 | ||||
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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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