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
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj +1 more source
Integral transforms of an extended generalized multi-index Bessel function
In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin ...
Shahid Mubeen +5 more
doaj +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

