Results 31 to 40 of about 649 (183)

Analysis On Perturbed Hermite-Hadamard Type Inequalities Through Convexity Classes and Their Applications [PDF]

Sahand Communications in Mathematical Analysis
This research contributes to the field of mathematical inequalities by extending Hermite-Hadamard-type inequality results to the fractional calculus.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Sajid Iqbal   +3 more
doaj   +1 more source

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 \(\varepsilon\).
openaire   +1 more source

Synthesizing polyethersulphone membranes with hybrid iron/nickel nanoparticles for dyes removal: An efficient biogenesis approach

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract Industrial wastewater contamination by azo dyes poses a significant environmental challenge. This study reports the green synthesis of bimetallic iron/nickel (Fe/Ni) nanoparticles using moringa leaf extract, which acted as both a reducing and capping agent, and their incorporation into polyethersulphone (PES) membranes to produce eco‐friendly ...
Qusay A. Almajras, Ahmed K. Hassan, Dahiru Lawal, Mohammed Awad, Raed A. Al‐Juboori, Muhammad Irfan, Muhammad Rafiq, Qusay F. Alsalhy   +7 more
wiley   +1 more source

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
doaj   +2 more sources

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, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Best Approximation for the k-digamma Functions

Asian Research Journal of Mathematics, 2019
In this paper, we show a best approximation for the k-digamma functions.
X. H. Deng, L. Yin, J. Zhao
openaire   +2 more sources

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Analytical Properties of k-Generalized Digamma and Polygamma Functions Derived From Dilcher-Type Gamma Functions

Journal of Mathematics
This study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function ...
Gregory Abe-I-Kpeng, Mohammed Muniru Iddrisu, Kwara Nantomah   +2 more
doaj   +1 more source

THE MODULAR RELATION AND THE DIGAMMA FUNCTION

Kyushu Journal of Mathematics, 2011
In this paper we shall locate a class of fundamental identities for the gamma function and trigonometric functions in the chart of functional equations for the zeta- functions as a manifestation of the underlying modular relation. We use the beta-transform but not the inverse Heaviside integral.
K. CHAKRABORTY, S. KANEMITSU, X.-H. WANG
openaire   +2 more sources

Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies

International Economic Review, EarlyView.
ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi, Junpei Komiyama, Shunya Noda   +2 more
wiley   +1 more source