Results 41 to 50 of about 2,380 (213)
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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Examining the Function of Meromorphic with Using the Linear Convolution Operator
, 2021 In this study, it is mentioned that meromorphic functions are univalent functions that are analytical everywhere. Complex analytical transformations were investigated by mentioning the necessary form for( )f z to have meromorphic function.
Yıldız, İsmet, Şahin, Hasan
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Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Let F$F$ be a non‐Archimedean local field with odd characteristic p$p$. Let N$N$ be a positive integer and G=Sp2N(F)$G=\operatorname{Sp}_{2N}(F)$. By work of Lomelí on γ$\gamma$‐factors of pairs and converse theorems, a generic supercuspidal representation π$\pi$ of G$G$ has a transfer to a smooth irreducible representation Ππ$\Pi _\pi$ of ...
Corinne Blondel +2 more
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Uniqueness of a meromorphic functions that share one small function and its derivative. [PDF]
, 2016 In this paper we consider the problem of uniqueness of meromorphic functions that share one small function and its derivatives, and obtain two theorems which improve the result of Qingcai Zhang [11]
Husna, V., Harina, P. Waghamore.
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The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain
Fractal and Fractional, 2023 Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil +5 more
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Combinatorial zeta functions counting triangles
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
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Super-optimal approximation by meromorphic functions. [PDF]
, 1996 Let G be a matrix function of type m × n and suppose that G is expressible as the sum of an H∞ function and a continuous function on the unit circle. Suppose also that the (k – 1)th singular value of the Hankel operator with symbol G is greater than the ...
Young, N. J., Peller, V. V.
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Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
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Nevanlinna’s Five Values Theorem on Annuli
Mathematics, 2016 By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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