Results 21 to 30 of about 649 (183)
Two parameterized series representations for the digamma function
Applicable Analysis and Discrete Mathematics, 2022 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 series representations for the digamma function that seem interesting due to their independence from the given parameters.
Alzer, Horst, Choi, Junesang
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Infinite family of approximations of the Digamma function
Mathematical and Computer Modelling, 2006 Let \(\textstyle \Psi(x):=\frac{\Gamma^{\prime}(x)}{\Gamma(x)}\) be the psi or digamma function. The authors construct an infinite number of approximations for \(\Psi(x)\), \(x\in (0,\infty)\), denoted as \(\{I_{a}, a\in[0,1]\}\), where \(I_{a}(x)=\ln(x+a)-\frac{1}{x}\).
Muqattash, Isa, Yahdi, Mohammed
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Some integrals involving k gamma and k digamma function [PDF]
Journal of the Egyptian Mathematical Society, 2020 AbstractIn 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 ...
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Analytic computation of digamma function using some new identities
Journal of Applied Mathematics, Statistics and Informatics, 2020 Abstract Motivated by the substantial development in the theory of digamma function, we derive some new identities for the digamma function. These new identities enable us to compute the values of the digamma function for fractional orders in an analogous manner.
Qureshi, Mohammad Idris +1 more
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Some series whose coefficients involve the value ζ(n) for $n$n odd
International Journal of Mathematics and Mathematical Sciences, 1989 By using two basic formulas for the digamma function, we derive a variety of series that involve as coefficients the values (2n+1), n=1,2,⋯, of the Riemann-zeta function.
L. R. Bragg
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Estimating gamma function by digamma function
Mathematical and Computer Modelling, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transcendental values of the digamma function
Journal of Number Theory, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ram Murty, M., Saradha, N.
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Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function
Physics Letters BWe consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are introduced by ...
Mohammad Joubat +2 more
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An inequality involving the gamma and digamma functions [PDF]
Journal of Applied Analysis, 2016 Abstract In the paper, the authors establish an inequality involving the gamma and digamma functions and apply it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.
Qi, Feng, Guo, Bai-Ni
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Some bounds for the k-generalized digamma function
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 We presented some monotonicity properties for the k-generalized digamma function $\psi_{k}(h)$ and we established some new bounds for $\psi_{k}^{(s)}(h),$ $s\in \mathbb{N}\cup\{0\},$ which refine recent ...
Hesham MOUSTAFA +2 more
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