期刊
ANALYSIS AND MATHEMATICAL PHYSICS
卷 11, 期 3, 页码 -出版社
SPRINGER BASEL AG
DOI: 10.1007/s13324-021-00553-w
关键词
Fox-Wright function; Fox's H-function; Complete monotonicity; Positive definite
This paper introduces a new set of conditions for the Fox H-functions, proving that they are non-negative. It also establishes some classes of functions involving the Fox H-function and discusses new facts regarding the Fox-Wright functions.
In this paper, a new set of sufficient conditions are imposed on the parameters of the Fox H-functions, which allow us to conclude that it is non-negative. As applications, some classes of completely monotonic and positive definite functions involving the Fox H-function are established. Some new facts regarding the Fox-Wright functions, including complete monotonicity, logarithmic completely monotonicity and monotonicity of their ratios are discussed.
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