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Bibliographische Detailangaben
Hauptverfasser:	Kozhan, Rostyslav, Vaktnäs, Marcus
Format:	Preprint
Veröffentlicht:	2026
Schlagworte:	Complex Variables Classical Analysis and ODEs 42C05, 41A21, 41A28, 30C15
Online-Zugang:	https://arxiv.org/abs/2603.21468
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

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Angelesco and AT systems on the Unit Circle
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Szegő Mapping and Hermite--Padé Polynomials for Multiple Orthogonality on the Unit Circle
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Zeros of Multiple Orthogonal Polynomials: Location and Interlacing
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Szegő Recurrence for Multiple Orthogonal Polynomials on the Unit Circle
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Unbounded Widom factors for orthogonal and residual polynomials
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Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures
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Chebyshev polynomials in the complex plane and on the real line
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Chebyshev polynomials corresponding to a vanishing weight
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n-th Root Optimal Rational Approximants to Functions with Polar Singular Set
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Strong Asymptotics for a 3x3 Riemann-Hilbert Problem in a Regular Hard-Soft Two-Edge Regime
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Ratio asymptotics and zero density for orthogonal polynomials with varying Verblunsky coefficients
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Multipoint Padé Approximation of the Hurwitz Zeta Function and a Riemann-Hilbert Steepest Descent Analysis
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Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane
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Shapiro's problem on polynomials with large partial sums of coefficients
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Local Bernstein theory, and lower bounds for Lebesgue constants
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Certain Inequalities for the generalized polar derivative of a polynomial
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Integer-valued polynomials satisfying growth constraints
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Hadamard-Type Asymptotics for Products of Best Rational Approximation Errors
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Best approximation by polynomials on the conic domains
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Turán type oscillation inequalities in $L^q$ norm on the boundary of convex polygonal domains
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On zeros of discrete paraorthogonal polynomials on the unit circle
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Sampling in quasi shift-invariant spaces and Gabor frames generated by ratios of exponential polynomials
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Maximal univalent disks of real rational functions and Hermite-Biehler polynomials
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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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