Results 31 to 40 of about 2,656,443 (77)
arXiv, 2004 These notes are connected to a "potpourri" topics class and deal with some special cases of norms of various objects which arise in classical analysis.
arxiv
Intuitive dyadic calculus: the basics [PDF]
arXiv, 2015 This book is a short introduction into dyadic analysis with applications to classical weighted norm inequalities.
arxiv
Some implications of a new definition of the exponential function on time scales
, 2010 We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
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Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations
, 2011 We give the exact expressions of the partial susceptibilities $\chi^{(3)}_d$ and $\chi^{(4)}_d$ for the diagonal susceptibility of the Ising model in terms of modular forms and Calabi-Yau ODEs, and more specifically, $_3F_2([1/3,2/3,3/2],\, [1,1];\, z)$
Assis, M +6 more
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Orthogonality of a new family of $q$-Sobolev type polynomials
, 2023 In this work, we introduce and construct specific $q$-polynomials that are desired from the well-established families of $q$-orthogonal polynomials, namely little $q$-Jacobi polynomials and $q$-Laguerre polynomials, respectively.
Neha, Swaminathan, A.
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On the convergence of an exotic formal series solution of an ODE [PDF]
arXiv, 2018 A sufficient condition of the convergence of an exotic formal series (a kind of power series with complex exponents) solution to an ODE of a general form is proposed.
arxiv
, 2023 In this paper, we consider systems of linear ordinary differential equations, with analytic coefficients on big sectorial domains, which are asymptotically diagonal for large values of $|z|$. Inspired by N.
Cotti, Giordano +2 more
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Calculus, fractals, and analysis on metric spaces [PDF]
arXiv, 2010 This article was prepared in connection with the 2009 Barnett lecture at the University of Cincinnati, and deals with various classes of fractal sets and analysis on them.
arxiv
Spectral Curves of Operators with Elliptic Coefficients [PDF]
, 2007 A computer-algebra aided method is carried out, for determining geometric objects associated to differential operators that satisfy the elliptic ansatz.
Eilbeck, J.C. +2 more
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, 2023 The aim of the work is to construct new polynomial systems, which are solutions to certain functional equations which generalize the second-order differential equations satisfied by the so called classical orthogonal polynomial families of Jacobi ...
Huertas, Edmundo J. +2 more
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