Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
Mathematics, 2022 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 ...
Rahul Goyal +3 more
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Extended k-Gamma and k-Beta Functions of Matrix Arguments [PDF]
Mathematics, 2020 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 ...
Ghazi S. Khammash +2 more
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Exploring the Extended Beta-Logarithmic Function: Matrix Arguments and Properties
MathematicsThe beta-logarithmic function substantially generalizes the standard beta function, which is widely recognized for its significance in many applications.
Mohammed Z. Alqarni
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On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions [PDF]
Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
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Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications [PDF]
Ingeniería y Ciencia, 2016 In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar +2 more
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Enhanced structure and function of human pluripotent stem cell‐derived beta‐cells cultured on extracellular matrix [PDF]
Stem Cells Translational Medicine, 2021 The differentiation of human stem cells into insulin secreting beta‐like cells holds great promise to treat diabetes. Current protocols drive stem cells through stages of directed differentiation and maturation and produce cells that secrete insulin in ...
Reena Singh +7 more
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Certain Results on Extended Beta and Related Functions Using Matrix Arguments
Journal of New TheoryIn this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain +2 more
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Conformal transformations of the S-matrix; $\beta$-function identifies change of spacetime
, 2010 First conformal transformations of the $S$-matrix are derived in massless $\phi^4$-theory. Then it is shown that the anomalous transformations can be rewritten as a symmetry once one has introduced a local coupling and interprets the charge of the ...
Pottel, S., Sibold, K.
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Function correction and Lagrange – Jacobi type interpolation [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 It is well-known that the Lagrange interpolation based on the Chebyshev nodes may be divergent everywhere (for arbitrary nodes, almost everywhere), like the Fourier series of a summable function.
Novikov, Vladimir Vasil’evich
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Higher-order $β$-functions in the Standard Model and beyond
SciPost Physics Proceedings, 2022 In this contribution we consider the recent computation of the gauge coupling $\beta$-function at four loops and the Yukawa matrix $\beta$-function at three loops in the most general, renormalizable and four-dimensional quantum field theory ...
Florian Herren
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