Two parameterized series representations for the digamma function
نویسندگان
چکیده
Numerous series representations for various special functions and mathematical constants have been developed by many authors. The aim of this article is to establish two parameterized the digamma function that seem interesting due their independence from given parameters. Among particular cases our main findings, some are covered in examples.
منابع مشابه
Transcendental values of the digamma function
Let ψ(x) denote the digamma function, that is, the logarithmic derivative of Euler’s -function. Let q be a positive integer greater than 1 and γ denote Euler’s constant. We show that all the numbers ψ(a/q)+ γ, (a, q)= 1, 1 a q, are transcendental. We also prove that at most one of the numbers γ, ψ(a/q), (a, q)= 1, 1 a q, is algebraic. © 2007 Elsevier Inc. All rights reserved. MSC: primary 11J81...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2022
ISSN: ['1452-8630', '2406-100X']
DOI: https://doi.org/10.2298/aadm211208022a