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Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function [PDF]
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 [PDF]
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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Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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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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Frontiers in Astronomy and Space Sciences, 2021 The fundamental nature of the neutrino is presently a subject of great interest. A way to access the absolute mass scale and the fundamental nature of the neutrino is to utilize the atomic nuclei through their rare decays, the neutrinoless double beta ...
Jenni Kotila, Jenni Kotila
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European Physical Journal C: Particles and Fields, 2022 We construct the ( $$\beta $$ β -deformed) partition function hierarchies with W-representations. Based on the W-representations, we analyze the superintegrability property and derive their character expansions with respect to the Schur functions and ...
Rui Wang +3 more
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Some Relations on the rRs(P,Q,z) Matrix Function
Axioms, 2023 In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata +2 more
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