Abstract
In this work, in addition to the bounds for triple gamma function, bounds for the ratios of triple gamma functions are obtained. Similar bounds for the ratios of the double gamma functions are also obtained. These results and their consequences are obtained using the known results of the gamma function.
Highlights
1 Introduction The multiple gamma functions denoted by n have applications in many areas of mathematics
The multiple gamma functions were first studied by Barnes [ – ]
It can be noted that the above conditions are the refinement of the Bohr-Morellup theorem and the multiple gamma function n of order n satisfies the following relations: (i) n(z) =
Summary
The multiple gamma functions denoted by n have applications in many areas of mathematics. It can be noted that the above conditions are the refinement of the Bohr-Morellup theorem and the multiple gamma function n of order n satisfies the following relations: (i) n(z) = The double gamma function G (z) =
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