Results 41 to 50 of about 813 (192)
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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The Hermite-Hadamard type inequalities for quasi p-convex functions
AIMS Mathematics, 2023 In this paper, the Hermite-Hadamard inequality and its generalization for quasi p-convex functions are provided. Also several new inequalities are established for the functions whose first derivative in absolute value is quasi p-convex, which states some
Sevda Sezer, Zeynep Eken
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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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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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Computation of the Gamma, Digamma, and Trigamma Functions [PDF]
SIAM Journal on Numerical Analysis, 1994 This paper gives an approximation for gamma function that, while different, has the same form as Lanczos one. Both approximations correct Stirling's approximation with contributions from the gamma function's poles a require \(O (-\log \varepsilon)\) time independent of \(z\) to calculate \(z!\) with \(a\) relative error \(\varepsilon\).
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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Sharp bounds for gamma and digamma function arising from Burnside's formula
Journal of Numerical Analysis and Approximation Theory, 2010 The main aim of this paper is to improve the Burnside's formula for approximating the factorial function. We prove the complete monotonicity of a function involving the gamma function to establish new lower and upper sharp bounds for the gamma and ...
Cristinel Mortici
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Time‐Varying Dispersion Integer‐Valued GARCH Models
Journal of Time Series Analysis, EarlyView.ABSTRACT We introduce a general class of INteger‐valued Generalized AutoRegressive Conditionally Heteroscedastic (INGARCH) processes by allowing simultaneously time‐varying mean and dispersion parameters. We call such models time‐varying dispersion INGARCH (tv‐DINGARCH) models.
Wagner Barreto‐Souza +3 more
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