Bounds for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function
نویسندگان
چکیده
In the paper, author presents bounds for completely monotonic degree of a remainder an asymptotic expansion trigamma function. This result partially confirms one in series conjectures on degrees remainders expansions logarithm gamma function and polygamma functions.
منابع مشابه
A COMPLETELY MONOTONIC FUNCTION RELATING TO THE q –TRIGAMMA FUNCTION
In the paper, a function relating to the q -trigamma function is proved to be completely monotonic. As by-products, two functions relating to the logarithmic function are also proved to be completely monotonic. Mathematics subject classification (2010): Primary 33D05; Secondary 26A48.
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ژورنال
عنوان ژورنال: Arab journal of basic and applied sciences
سال: 2021
ISSN: ['2576-5299']
DOI: https://doi.org/10.1080/25765299.2021.1962060