Results 11 to 20 of about 10,860,223 (366)
Ramanujan’s mock theta functions [PDF]
Proceedings of the National Academy of Sciences, 2013 In his famous deathbed letter, Ramanujan introduced the notion of a mock theta function , and he offered some alleged examples. Recent work by Zwegers [Zwegers S (2001) Contemp Math 291:268–277 and Zwegers S (2002) PhD thesis (Univ of Utrecht, Utrecht, The Netherlands)] has elucidated the ...
Griffin, Michael, Ono, Ken, Rolen, Larry
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The explicit form of the switching surface in admissible synthesis problem
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 In this article we consider the problem related to positional synthesis and controllability function method and more precisely to admissible maximum principle.
V. I. Korobov, O. S. Vozniak
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On the Lovász Theta function for Independent Sets in Sparse Graphs [PDF]
Symposium on the Theory of Computing, 2015 We consider the maximum independent set problem on graphs with maximum degree d. We show that the integrality gap of the Lovasz Theta function-based SDP has an integrality gap of O~(d/log3/2 d).
N. Bansal, Anupam Gupta, Guru Guruganesh
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Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, based on generalized Herz-type function spaces $\dot{K}_{q}^{p}(\theta)$ were introduced by Y. Komori and K. Matsuoka in 2009, we define Herz-type Besov spaces $\dot{K}_{q}^{p}B_{\beta }^{s}(\theta)$ and Herz-type Triebel-Lizorkin spaces $\
A. Djeriou, R. Heraiz
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On a partial theta function and its spectrum [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015 The bivariate series defines a partial theta function. For fixed q (∣q∣ < 1), θ(q, ·) is an entire function. For q ∈ (–1, 0) the function θ(q, ·) has infinitely many negative and infinitely many positive real zeros. There exists a sequence of values of q
V. Kostov
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The reverse Holder inequality for an elementary function
Математичні Студії, 2021 For a positive function $f$ on the interval $[0,1]$, the power mean of order $p\in\mathbb R$ is defined by \smallskip\centerline{$\displaystyle \|\, f\,\|_p=\left(\int_0^1 f^p(x)\,dx\right)^{1/p}\quad(p\ne0), \qquad \|\, f\,\|_0=\exp\left(\int_0^1\ln ...
A.O. Korenovskii
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On inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions
Математичні Студії, 2020 In this paper, we introduce the concepts of inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions and obtain their characterizations if it is possible in terms of $\theta$-closure and $\theta$-interior by using sets determined by the ...
J. Sanabria, E. Rosas, L. Vásquez
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Error functions, Mordell integrals and an integral analogue of partial theta function [PDF]
, 2016 A new transformation involving the error function $\textup{erf}(z)$, the imaginary error function $\textup{erfi}(z)$, and an integral analogue of a partial theta function is given along with its character analogues.
Atul Dixit, Arindam Roy, A. Zaharescu
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On second order mock theta function $ B(q) $
Electronic Research Archive, 2022 In this paper, we present some arithmetic properties for the second order mock theta function $ B(q) $ given by McIntosh as: $ B(q) = \sum\limits_{n = 0}^{\infty}\frac{q^n(-q;q^2)_n}{(q;q^2)_{n+1}}.
Harman Kaur, Meenakshi Rana
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Overpartitions related to the mock theta function $\omega(q)$ [PDF]
, 2016 It was recently shown that $q\omega(q)$, where $\omega(q)$ is one of the third order mock theta functions, is the generating function of $p_{\omega}(n)$, the number of partitions of a positive integer $n$ such that all odd parts are less than twice the ...
G. Andrews +3 more
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