# Browsing Mathematics by Title

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• (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, ...
• (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 ...
• (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, 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 ...
• (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)
• (Elsevier, 2018-06)
In this paper we compute Gröbner bases for determinantal ideals of the form , where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers ...
• (Springer Verlag, 2018-02)
A network of sensors observes a time-inhomo-geneous Poisson signal and within a fixed time interval has to decide between two hypotheses regarding the signal’s intensity. The paper reveals an interplay between network ...
• (Cornell University Library, 2017-10)
The change in Holographic entanglement entropy (HEE) for small fluctuations about pure AdS are obtained by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal ...
• (Indian Institute of Technology Gandhinagar, 2017)
• (Springer International Publishing, 2016-10)
In this article, a modification of Newton’s method with fifteenth-order convergence is presented. The modification of Newton’s method is based on the method of fifth-order convergence of Hu et al. First, we present theoretical ...
• (Cornell University Library, 2017-06)
• (Cornell University Library, 2015-03)
Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers with gcd(m0,m1,m2,n)=1, such that m0<m1<m2 form an arithmetic progression, n is arbitrary and they minimally generate the ...
• (COCOA, Indian Institute of Technology Gandhinagar, 2016-02-22)
• (Taylor & Francis, 2017-02)
Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with gcd(m0, m1, m2, n) = 1, such that m0 < m1 < m2 form an arithmetic progression, n is arbitrary and they minimally generate ...
• (Indian Mathematical Society, 2018-09)
• (World Scientific, 2015-10)
We extend Álvarez-Cónsul and King description of moduli of sheaves over projective schemes to moduli of equivariant sheaves over projective Γ-schemes, for a finite group Γ. We introduce the notion of Kronecker–McKay modules ...