Pair excitations and the mean field approximation of interacting Bosons, II [PDF]
We consider a large number of Bosons with interaction potential $v_N(x)=N^{3 \beta}v(N^{\beta}x)$. In earlier papers we considered a set of equations for the condensate $\phi$ and pair excitation function $k$ and proved that they provide a Fock space ...
Grillakis, M., Machedon, M.
core +1 more source
The Growing Genetic and Functional Diversity of Extended Spectrum Beta-Lactamases [PDF]
Theβ-lactams—a large class of diverse compounds—due to their excellent safety profile and broad antimicrobial spectrum are considered to be the most widely used therapeutic class of antibacterials prescribed in human and veterinary clinical practices. This, unfortunately, has also given rise to a continuous increased resistance globally in health care ...
Sadeeq ur Rahman +5 more
openaire +3 more sources
Some Inequalities of Extended Hypergeometric Functions
Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent ...
Shilpi Jain +3 more
doaj +1 more source
Critical specific heats of the N-vector spin models on the sc and the bcc lattices [PDF]
We have computed through order $\beta^{21}$ the high-temperature expansions for the nearest-neighbor spin correlation function $G(N,\beta)$ of the classical N-vector model, with general N, on the simple-cubic and on the body-centered-cubic lattices ...
A. A. Vladimirov +85 more
core +2 more sources
Distribution of spectral linear statistics on random matrices beyond the large deviation function -- Wigner time delay in multichannel disordered wires [PDF]
An invariant ensemble of $N\times N$ random matrices can be characterised by a joint distribution for eigenvalues $P(\lambda_1,\cdots,\lambda_N)$. The study of the distribution of linear statistics, i.e.
Grabsch, Aurélien, Texier, Christophe
core +2 more sources
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function.
D. L. Suthar +4 more
doaj +1 more source
Critical exponents of the three-dimensional classical plane rotator model on the sc lattice from a high temperature series analysis [PDF]
High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$.
Butera, P., Comi, M., Guttmann, A. J.
core +2 more sources
Some inequalities involving two generalized beta functions in n variables
The beta and gamma functions have recently seen several developments and various extensions because of their nice properties and interesting applications. The contribution of this paper falls within this framework.
Mustapha Raïssouli, Salma I. El-Soubhy
doaj +1 more source
An extension of beta function, its statistical distribution, and associated fractional operator
Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola +3 more
doaj +1 more source
ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj +1 more source

