Results 11 to 20 of about 210,761 (283)

Logarithmic Bernstein functions for fractional Rosenau–Hyman equation with the Caputo–Hadamard derivative

Results in Physics
In this study, the Caputo–Hadamard derivative is fittingly used to define a fractional form of the Rosenau–Hyman equation. To solve this equation, the orthonormal logarithmic Bernstein functions (BFs) are created as a suitable basis for handling this ...
M.H. Heydari, F. Heydari, O. Bavi, M. Bayram   +3 more
doaj   +3 more sources

On the Sobolev space of functions with derivative of logarithmic order

Advances in Nonlinear Analysis, 2019
Two notions of “having a derivative of logarithmic order” have been studied. They come from the study of regularity of flows and renormalized solutions for the transport and continuity equation associated to weakly differentiable drifts.
Brué Elia, Nguyen Quoc-Hung
doaj   +2 more sources

Logarithmic Generalization of the Lambert W Function and Its Applications to Adiabatic Thermostatistics of the Three-Parameter Entropy

Advances in Mathematical Physics, 2021
A generalization of the Lambert W function called the logarithmic Lambert function is introduced and is found to be a solution to the thermostatistics of the three-parameter entropy of classical ideal gas in adiabatic ensembles. The derivative, integral,
Cristina B. Corcino, Roberto B. Corcino
doaj   +1 more source

Calculation of the Characteristic Functions of Anharmonic Oscillators [PDF]

, 2010
The energy levels of quantum systems are determined by quantization conditions. For one-dimensional anharmonic oscillators, one can transform the Schrodinger equation into a Riccati form, i.e., in terms of the logarithmic derivative of the wave function.
Alvarez, Balslev, Bender, Bender, Bender, Caliceti, Caliceti, Caliceti, Caliceti, Caliceti, Feynman, Franceschini, Hamprecht, Jean Zinn-Justin, Jentschura, Jentschura, Jentschura, Jentschura, Jentschura, Karrlein, Pachucki, Surzhykov, Ulrich D. Jentschura, Voros, Voros, Yaris   +25 more
core   +2 more sources

Logarithmic derivatives and generalized Dynkin operators [PDF]

Journal of Algebraic Combinatorics, 2013
Motivated by a recent surge of interest for Dynkin operators in mathematical physics and by problems in the combinatorial theory of dynamical systems, we propose here a systematic study of logarithmic derivatives in various contexts. In particular, we introduce and investigate generalizations of the Dynkin operator for which we obtain Magnus-type ...
Menous, Frederic, Patras, Frédéric
openaire   +4 more sources

The Logarithmic Conformal Field Theories [PDF]

, 1996
We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions.
A. Aghamohammadi, Belavin, Bilal, Blumenhagen, Blumenhagen, Caux, Flohr, Flohr, Gaberdiel, Gurarie, Kogan, M. Khorrami, M.R. Rahimi Tabar, Maassarani, Rahimi Tabar, Rahimi Tabar, Rahimi Tabar, Rahimi Tabar, Rozansky, Wen   +19 more
core   +4 more sources

On Some Complete Monotonicity of Functions Related to Generalized k−Gamma Function

Journal of Mathematics, 2021
In this paper, we presented two completely monotonic functions involving the generalized k−gamma function Γkx and its logarithmic derivative ψkx, and established some upper and lower bounds for Γkx in terms of ψkx.
Hesham Moustafa, Hanan Almuashi, Mansour Mahmoud   +2 more
doaj   +1 more source

Point-wise estimates for the derivative of algebraic polynomials

Математичні Студії, 2021
We give a sufficient condition on coefficients $a_k$ of an algebraic polynomial $P(z)=\sum\limits_{k=0}^{n}a_kz^k$, $a_n\not=0,$ such that the pointwise Bernstein inequality $|P'(z)|\le n|P(z)|$ is true for all $z,\ |z|\le 1$.
A. V. Savchuk
doaj   +1 more source

Convergence in $L^p[0,2\pi]$-metric of logarithmic derivative and angular $\upsilon$-density for zeros of entire function of slowly growth

Karpatsʹkì Matematičnì Publìkacìï, 2015
The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its  logarithmic derivative.
M.R. Mostova, M.V. Zabolotskyj
doaj   +1 more source

Entanglement Entropy for Logarithmic Conformal Field Theory [PDF]

, 2014
We study holographic entanglement entropy for certain logarithmic conformal field theories by making use of their gravity descriptions. The corresponding gravity descriptions are provided by higher derivative gravity at critical points where the ...
Amin Faraji Astanehb, M. Reza, Mohammadi Mozaffara, Mohsen Alishahihaa   +3 more
core   +1 more source