GUTs in Curved Spacetime: Running Gravitational Constants, Newtonian Potential and the Quantum Corrected Gravitational Equations [PDF]
The running coupling constants (in particular, the gravitational one) are studied in asymptotically free GUTs and in finite GUTs in curved spacetime, with explicit examples.
A. A. Grib +94 more
core +2 more sources
Logarithmic derivative estimates of meromorphic functions of finite order in the half-plane
We established new sharp estimates outside exceptional sets for of the logarithmic derivatives $\frac{d^ {k} \log f(z)}{dz^k}$ and its generalization $\frac{f^{(k)}(z)}{f^{(j)}(z)}$, where $f$ is a meromorphic function $f$ in the upper half-plane, $k>j ...
I.E. Chyzhykov, A.Z. Mokhon'ko
doaj +1 more source
Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function.
Shilpi Jain +4 more
doaj +1 more source
Small-energy series for one-dimensional quantum-mechanical models with non-symmetric potentials [PDF]
We generalize a recently proposed small-energy expansion for one-dimensional quantum-mechanical models. The original approach was devised to treat symmetric potentials and here we show how to extend it to non-symmetric ones.
Amore, Paolo, Fernández, Francisco M.
core +3 more sources
String corrections to four point functions in the AdS/CFT correspondence [PDF]
In a string calculation to order $\alpha'^3$, we compute an eight-derivative four-dilaton term in the type IIB effective action. Following the AdS prescription, we compute the order $(g_{YM}^2N_c)^{-3/2}$ correction to the four-point correlation function
Brodie, John H., Gutperle, Michael
core +2 more sources
On estimates of a fractional counterpart of the logarithmic derivative of a meromorphic function [PDF]
We consider the problem of finding lower bounds for growth of solutions of a fractional differential equation in the complex plane. We estimate a fractional integral of the logarithmic derivative of a meromorphic function.
I. E. Chyzhykov, N. S. Semochko
doaj
Spherical Redshift Distortions [PDF]
Peculiar velocities induce apparent line of sight displacements of galaxies in redshift space, distorting the pattern of clustering in the radial versus transverse directions.
Culhane, M., Hamilton, A. J. S.
core +2 more sources
WMAP constraint on the P-term inflationary model
In light of WMAP results, we examine the observational constraint on the P-term inflation. With the tunable parameter $f$, P-term inflation contains richer physics than D-term and F-term inflationary models.
A. Beneit +28 more
core +1 more source
A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of View [PDF]
We study a fourth-order derivative scalar field configuration in a fixed Lifshitz background. Using an auxiliary field we rewrite the equations of motion as two coupled second order equations.
AM Ghezelbash +31 more
core +5 more sources
Inequalities Involving $q$-Analogue of Multiple Psi Functions
Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work $q$-analogue of multiple psi functions of order $n$ have been considered.
Das, Sourav
doaj +1 more source

