Results 81 to 90 of about 860 (206)

Radio Number for Generalized Petersen Graphs $P(n,2)$

IEEE Access, 2019
Let $G$ be a connected graph and $d(\mu,\omega)$ be the distance between any two vertices of $G$ . The diameter of $G$ is denoted by $diam(G)$ and is equal to $\max \{d(\mu,\omega); \\ \mu,\omega \in G\}$ . The radio labeling (RL) for the graph
Feige Zhang, Saima Nazeer, Mustafa Habib, Tariq Javed Zia, Zhendong Ren   +4 more
doaj   +1 more source

Atomic‐Scale Epitaxy for Tailoring Crystalline GeSbTe Alloys Into Bidimensional Phases

Advanced Materials Interfaces, Volume 13, Issue 1, 7 January 2026.
This Study Shows How Molecular Beam Epitaxy Can Precisely Control the Growth of Ge–Sb–Te Alloys By Tuning Temperature and Elemental Flux Ratio. A Predictive Growth Diagram is established, Linking Structural Ordering to Electrical Transport, and Enabling Efficient, low‐power Switching in Memory Devices.
Valeria Bragaglia, Fabrizio Arciprete, Simone Prili, Yukihiko Takagaki, Antonio Massimiliano Mio, Riccardo Mazzarello, Jos Emiel Boschker, Raffaella Calarco   +7 more
wiley   +1 more source

Monotonicity and positivity of several functions involving ratios and products of polygamma functions

Journal of Inequalities and Applications
Let ψ ( x ) $\psi (x)$ denote the digamma function, that is, the logarithmic derivative of the classical Euler gamma function Γ ( x ) $\Gamma (x)$ . In the paper, the authors discover the monotonic properties of the functions ψ ( n ) ( x ) x ψ ( n + 1 ) (
Feng Qi, Dongkyu Lim, Kwara Nantomah
doaj   +1 more source

A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem

Journal of Inequalities and Applications, 2019
Let Hn=∑r=1n1/r $H_{n} = \sum_{r=1}^{n} 1/r$ and Hn(x)=∑r=1n1/(r+x) $H_{n}(x) = \sum_{r=1}^{n} 1/(r+x)$. Let ψ(x) $\psi(x)$ denote the digamma function. It is shown that Hn(x)+ψ(x+1) $H_{n}(x) + \psi(x+1)$ is approximated by 12logf(n+x) $\frac{1}{2}\log ...
G. J. O. Jameson
doaj   +1 more source

New Sharp Bounds for Gamma and Digamma Functions

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011
Inspired by the recent paper giving the two-sided Stirling-like sharp estimates of the factorial, the author uses this result to obtain bounds for gamma and digamma functions. To do this he constructs a completely monotonic function \(f\) containing a gamma function and some other functions and constants related to the bounds of the above estimates of \
openaire   +1 more source

Geometric Nature of the Turánian of Modified Bessel Function of the First Kind

Axioms
This work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar, Dimiter Prodanov, Anish Kumar, Sourav Das   +3 more
doaj   +1 more source

On complete monotonicity for several classes of functions related to ratios of gamma functions

Journal of Inequalities and Applications, 2019
Let Γ(x) $\varGamma (x)$ denote the classical Euler gamma function. The logarithmic derivative ψ(x)=[lnΓ(x)]′=Γ′(x)Γ(x) $\psi (x)=[\ln \varGamma (x)]'=\frac{\varGamma '(x)}{ \varGamma (x)}$, ψ′(x) $\psi '(x)$, and ψ″(x) $\psi ''(x)$ are, respectively ...
Feng Qi, Ravi P. Agarwal
doaj   +1 more source

Integral and series representations of the digamma and polygamma functions [PDF]

Analysis, 2012
We obtain a variety of series and integral representations of the digamma function $ψ(a)$. These in turn provide representations of the evaluations $ψ(p/q)$ at rational argument and for the polygamma function $ψ^{(j)}$. The approach is through a limit definition of the zeroth Stieltjes constant $γ_0(a)=-ψ(a)$.
openaire   +2 more sources

Advanced Hermite-Hadamard-Mercer Type Inequalities with Refined Error Estimates and Applications

Fractal and Fractional
The purpose of this research is to develop a set of Hermite–Hadamard–Mercer-type inequalities that involve different types of fractional integral operators such as classical Riemann–Liouville fractional integral operators.
Arslan Munir, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +3 more
doaj   +1 more source

Analysis On Simpson's Type Inequalities Through Generalized Convexity with Applications [PDF]

Sahand Communications in Mathematical Analysis
Fractional operators and integral inequalities have become a focal point of research due to their applications in mathematics, physics, engineering, and applied sciences.
Arslan Munir, Artion Kashuri
doaj   +1 more source