# Browsing Mathematics by Title

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• (Cornell University Library, 2022-02)
In this article, we study the gauge theoretic aspects of real and quaternionic parabolic bundles over a real curve (X,?X), where X is a compact Riemann surface and {\sigma}X is an anti-holomorphic involution. For a fixed ...
• (American Mathematical Society, 2019-05)
In this article, we prove that the Gelfand-Kirillov dimension of the quantized algebra of regular functions on certain homogeneous spaces of types $A$, $C$, and $D$ is equal to the dimension of the homogeneous space as ...
• (The Mathematical Society of the Republic China, 2013-01)
The goal of this paper is to show a generalization to Sturm--Picone theorem for a pair of second-order nonlinear differential equations (p_1(t)x'(t))'+ q_1(t)f_{1}(x(t))=0. (p_2(t)y'(t))'+ q_2(t)f_{2}(y(t))=0, ...
• (Cornell University Library, 2021-01)
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third order mock theta functions ?(q) and ?(q), thereby extending their earlier results with the second author. ...
• (Springer, 2021-10)
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third-order mock theta functions ω(q) and ν(q), thereby extending their earlier results with the second author. ...
• (Indian Institute of Technology Gandhinagar, 2020)
• (Cambridge University Press, 2019-02)
It is pointed out that the generalized Lambert series studied by Kanemitsu, Tanigawa and Yoshimoto can be found on page 332 of Ramanujan's Lost Notebook in a slightly more general form. We extend an important transformation ...
• (Cornell University Library, 2018-01)
A comprehensive study of the generalized Lambert series ∑n=1∞nN−2hexp(−anNx)1−exp(−nNx),0<a≤1, x>0, N∈N and h∈Z, is undertaken. Two of the general transformations of this series that we obtain here lead to two-parameter ...
• (Nagoya University, 2020-09)
• (Cornell University Library, 2017-06)
• (Elsevier, 2018-03)
A new generalization of the modified Bessel function of the second kind is studied. Elegant series and integral representations, a differential-difference equation and asymptotic expansions are obtained for it thereby ...
• (Cornell University Library, 2020-12)
An exact transformation, which we call a \emph{master identity}, is obtained for the series ??n=1?a(n)e?ny for a?C and Re(y)>0. As corollaries when a is an odd integer, we derive the well-known transformations of the ...
• (Elsevier, 2020-03)
Recently Dixit, Kesarwani, and Moll introduced a generalization of the modified Bessel function and showed that it satisfies an elegant theory similar to that of . In this paper, we show that while is an elementary ...
• (Cornell University Library, 2018-10)
Recently Dixit, Kesarwani, and Moll introduced a generalization Kz,w(x) of the modified Bessel function Kz(x) and showed that it satisfies an elegant theory similar to Kz(x). In this paper, we show that while K12(x) is an ...
• (Cornell University Library, 2022-03)
In this article, we work with a generalized Saint Venant operator introduced by Vladimir Sharafutdinov to describe the kernel of the integral moment transforms over symmetric m-tensor fields in n-dimensional Euclidean ...
• (Elsevier, 2012-06)
In this note, we show the existence of a global positive solution for a class of first-order delay differential equations: x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0.x′(t)+a1(t)x(t)+a2(t)x(t−h(t))=0. Turn MathJax on In this study, ...
• (2016)
• (Cornell University Library, 2021-01)
A major challenge in flow through porous media is to better understand the link between pore-scale microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation ...
• (Cambridge University Press., 2022-02)
A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory ...
• (2020-11-22)