A Note on the New Extended Beta Function with Its Application [PDF]
The purpose of this research is to provide a systematic review of a new type of extended beta function and hypergeometric function using a confluent hypergeometric function, as well as to examine various belongings and formulas of the new type of extended beta function, such as integral representations, derivative formulas, transformation formulas, and
Vandana Palsaniya +3 more
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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
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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
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Extended k-Gamma and k-Beta Functions of Matrix Arguments [PDF]
Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented and studied.
Ghazi S. Khammash +2 more
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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
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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.
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Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.
Rahul Goyal +3 more
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A (p, ν)-extension of the Appell function F1(·) and its properties [PDF]
In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9].
Dar, S. A., Paris, R. B.
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Extended matrix variate gamma and beta functions
The paper presents preliminaries involving functions of an matrix argument in order to prepare an apparatus for a matrix variate distribution theory. As an illustration the probability density function of the sum in Theorem 6.1 is found. In Theorem 6.2 the expected value involving two independent random matrices is derived.
Nagar, Daya K. +2 more
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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Choi, Junesang +2 more
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