Results 41 to 50 of about 600,383 (177)

Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

open access: yesAIMS Mathematics, 2020
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

Some inequalities involving two generalized beta functions in n variables

open access: yesJournal of Inequalities and Applications, 2021
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

Some Inequalities of Extended Hypergeometric Functions

open access: yesMathematics, 2021
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

Distribution of spectral linear statistics on random matrices beyond the large deviation function -- Wigner time delay in multichannel disordered wires [PDF]

open access: yes, 2016
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

Critical specific heats of the N-vector spin models on the sc and the bcc lattices [PDF]

open access: yes, 1999
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

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian Journal of Computing, 2021
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

Extended matrix variate gamma and beta functions

open access: yesJournal of Multivariate Analysis, 2013
The gamma and beta functions have been generalized in several ways. The multivariate beta and multivariate gamma functions due to Ingham and Siegel have been defined as integrals having the integrand as a scalar function of the real symmetric matrix.
Arjun K. Gupta   +2 more
openaire   +2 more sources

Pair excitations and the mean field approximation of interacting Bosons, II [PDF]

open access: yes, 2016
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

Extended Holomorphic Anomaly in Gauge Theory [PDF]

open access: yes, 2010
The partition function of an N=2 gauge theory in the Omega-background satisfies, for generic value of the parameter beta=-eps_1/eps_2, the, in general extended, but otherwise beta-independent, holomorphic anomaly equation of special geometry.
A. Iqbal   +34 more
core   +1 more source

Generalized Wright Function and Its Properties Using Extended Beta Function

open access: yesTamkang Journal of Mathematics, 2020
Solving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extentions (and generalizations) have been investigated and presented. The purpose and design of the paper is intended to study and come up with a new extention of the genralized Wright function by
Nabiullah Khan, Talha Usma, Mohd Aman
openaire   +2 more sources

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