1,230 research outputs found
Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations
No full textWe investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations. It is shown that the coefficients in these recurrence relations can be expressed in terms of Wronskians of modified Bessel functions and confluent hypergeometric functions, respectively for the generalized Charlier and generalized Meixner polynomials. These Wronskians arise in the description of special function solutions of the third and fifth Painlevé equations
From appraisal and attention to affective experience : genetic, social and exercise-based influences on emotional evaluation and psychophysiological reactions
No full textExperiencing an affective, emotional state upon encountering novel stimuli is dependent on the nature of the stimulus as well as the appraisal of the stimulus by the perceiving individual. Contemporary views on stimulus processing consider appraisal to be the underlying mechanism determining the subjective affective outcome, as it is experienced by the individual. This thesis had the objective of contributing to the understanding of appraisal processes in healthy participants, with a special focus on self- versus other-reference of the experienced stimuli. To this extent, the experimental His-Mine paradigm (Herbert, DFG HE5880/3-1) has been repeatedly employed, assessing the emotional evaluation of positive, negative, and neutral words, combined with self- or other-reference.
In the first study, associations between genetic markers (OXTR polymorphisms rs53576 and rs2268498) and emotional evaluation have been investigated, demonstrating a possible relationship in the form of an interpretation bias in the appraisal of neutral words, i.e., ambiguous stimuli devoid of valence information (Meixner, Montag, & Herbert, 2019). While the usually found self-positivity bias did not interact with participants’ genotype, rs53576-A+/rs2268498-C+ carriers displayed a less positive, and more negative interpretation bias in the appraisal of neutral stimuli, depending on self- or other-reference of the stimuli.
In the second study, romantic relationships have been examined as a possible factor changing the appraisal of self- and other-related emotional information, even in the absence of explicit partner-related instructions. It could be shown that the self-positivity bias persisted in a romantic relationship. However, participants in a romantic relationship evaluated positive, other-related stimuli more often in a valence-congruent fashion, and therefore akin to positive, self-related stimuli (Meixner & Herbert, 2018).
In the third study, the influence of acute aerobic exercise with varying attentional focus on the evaluation of self- and other-related emotional stimuli has been tested. Results suggested that while aerobic exercise is an affective experience influencing mood and subjective exertion, this did not transfer into subsequent emotional evaluation, ruling out effects of mood-congruent
processing. However, it could be shown that the attentional focus instruction led to slower reaction times in the subsequent emotional evaluation paradigm compared to the exercise condition without attentional focus instruction, possibly caused by the increased demands of the additional attention task. The direction of the self-reported attentional focus during exercise proved to be related to the self-positivity bias in subsequent emotional evaluation: An internal focus of attention on bodily stimuli during the aerobic exercise was associated with a larger difference between the number of valence-congruent answers in positive, self-related compared to positive, other-related words, and vice versa for an external focus of attention (Meixner & Herbert, 2022).
Lastly, in the fourth study, the psychophysiological effects of acute aerobic exercise with different attentional focus have been examined. It could be shown that instructed attentional focus did not influence affective experience of exercise, perceived exertion, or physiological parameters, such as heart rate variability (HRV), and pre-ejection period (PEP). Follow-up analyses, however, hinted at a possible relationship between self-reported attentional focus and psychophysiological parameters (Meixner & Herbert, 2021).
Taken together, the presented studies and their results illustrate associations of factors which differ on their time scale, on stimulus appraisal and affective experiences: Stable factors, such as genetics, long-term factors such as romantic relationships and short-term influences, such as acute aerobic exercise with varying attentional focus on stimulus appraisal have been
investigated. In sum, these findings contribute to uncovering the relationship of biopsychological influences, emotional evaluation, and affective experiences in the appraisal process of verbal and bodily stimuli.Affektives, emotionales Erleben als Reaktion auf neuartige Reize wird beeinflusst von den
Eigenschaften des Reizes, aber auch von der Bewertung der wahrnehmenden Person. Aktuelle
Theorien zur Reizverarbeitung nennen die Bewertung eines Reizes als essenzielle Komponente,
die dem subjektiven affektiven Erleben eines Individuums zugrunde liegt. Diese Dissertation
wurde mit dem Ziel angefertigt, das Verständnis dieser Bewertungsprozesse in gesunden
Stichproben zu verbessern, mit speziellem Augenmerk auf den Selbst- oder Fremdbezug der
erlebten Reize. Dabei wurde das experimentelle His-Mine Paradigma (Herbert, DFG
HE5880/3-1) mehrfach verwendet, mit dem die emotionale Evaluation positiver, negativer und
neutraler Worte, gekoppelt mit Selbst- oder Fremdbezug erfasst werden kann.
In der ersten Studie wurden Zusammenhänge zwischen genetischen Markern (OXTR
Polymorphismus rs53576 und rs2268498) und emotionaler Evaluation untersucht. Die
Ergebnisse stützen einen möglichen Zusammenhang in Form eines Interpretationsbias bei der
Bewertung neutraler Worte, also ambiger Reize, die keine Valenzinformationen beinhalten
(Meixner, Montag, & Herbert, 2019). Der übliche Befund eines Self-Positivity Bias war
unabhängig vom Genotyp der Teilnehmenden nachzuweisen. Träger der rs53576-
A+/rs2268498-C+ Allele zeigten jedoch einen weniger positiven, eher negativen
Interpretationsbias in der Bewertung neutraler Reize, in Abhängigkeit von deren Selbst- und
Fremdbezug.
In der zweiten Studie wurden romantische Beziehungen als ein möglicher Einflussfaktor
untersucht, der die Bewertung von selbst- und fremdbezogenen Reizen verändern könnte. Es
wurde geprüft, ob sich dies sogar in Abwesenheit von expliziten, partnerbezogenen
Instruktionen zeigen lässt. Die Ergebnisse zeigten, dass der Self-Positivity Bias in einer
romantischen Beziehung insgesamt erhalten bleibt, aber Teilnehmende in einer romantischen
Beziehung positive, fremdbezogene Stimuli häufiger als valenzkongruent, und somit
vergleichbar zu positiven, selbstbezogenen Stimuli bewerten (Meixner & Herbert, 2018).
In der dritten Studie wurde der Einfluss von akuter sportlicher Aktivität im aeroben Bereich mit
verschiedenem Aufmerksamkeitsfokus auf die Evaluation selbst- und fremdbezogener
emotionaler Reize erforscht. Aerobe sportliche Aktivität erwies sich als eine affektive
Erfahrung und beeinflusste Stimmung sowie die subjektive Anstrengung. Diese Effekte
übertrugen sich jedoch nicht auf die Evaluation emotionaler Reize, was einer
stimmungskongruenten Verarbeitung im verwendeten experimentellen His-Mine Paradigma widerspricht. Es konnte jedoch gezeigt werden, dass eine Instruktion zur
Aufmerksamkeitsfokussierung zu langsameren Reaktionszeiten im nachfolgenden
Evaluationsparadigma führte, was auf die erhöhten Anforderungen durch die parallele
Aufmerksamkeitsfokussierung zurückzuführen sein könnte. Die selbstberichtete Richtung der
Aufmerksamkeit zeigte einen Zusammenhang mit dem Self-Positivity Bias in der emotionalen
Evaluationsaufgabe: Je stärker Teilnehmende ihre Aufmerksamkeit auf internale Reize während
der sportlichen Aktivität fokussierten, desto größer war die Differenz zwischen
valenzkongruenten Antworten auf positive, selbstbezogene Worte und positive, fremdbezogene
Worte. Je ausgeprägter Teilnehmende external fokussierten, desto geringer war diese Differenz
(Meixner & Herbert, 2022).
Zuletzt wurden in der vierten Studie zusätzlich die psychophysiologischen Effekte von
sportlicher Aktivität mit verschiedenem Aufmerksamkeitsfokus untersucht. Es konnten hierbei
keine Zusammenhänge von affektivem Erleben sportlicher Aktivität, der subjektiven
Anstrengung und physiologischen Parametern, wie der Herzratenvariabilität (HRV) und der
Präejektionsperiode (PEP), und dem instruierten Aufmerksamkeitsfokus während der Aktivität
gezeigt werden. Sekundäre Analysen deuteten jedoch auf einen möglichen Zusammenhang
zwischen selbstberichtetem Aufmerksamkeitsfokus und psychophysiologischen Parametern hin
(Meixner & Herbert, 2021).
Zusammengefasst beleuchten die dargestellten Studien und Ergebnisse die Beziehungen
diverser Einflussfaktoren der emotionalen Evaluation von Reizen und affektivem Erleben
verschiedener zeitlicher Ausdehnung: Zeitstabile genetische Faktoren, Langzeitfaktoren, wie
romantische Beziehungen, sowie kurzzeitige Einflüsse, wie akute sportliche Aktivität, wurden
erforscht. Die berichteten Befunde leisten einen Beitrag, unser Verständnis der
Zusammenhänge zwischen biopsychologischen Einflüssen, emotionaler Evaluation und
affektivem Erleben in den Bewertungsprozessen von verbalen und körperlichen Reizen zu
verbessern
Meervoudige Charlier en Meixner veeltermen
No full textWe investigate multiple Charlier and multiple Meixner polynomials. These are extensions of the classical Charlier and Meixner polynomials which are orthogonal polynomials with respect to the Poisson distribution and the Pascal distribution (negative binomial distribution). For multiple C harlier polynomials we impose orthogonality conditions with respect to&n bsp;r different Poisson distributions (with r > 1) and for multiple Meixner polynomials we use r different Pasc al distributions. Depending on the choice of which parameters we select, we then get multiple Meixner polynomials of the first or of the second kind. We give a generating function for multiple Charlier polynomials an d we explicitly compute the recurrence coefficients for the recurrence r elations connecting the nearest neighbor multiple Charlier polynomials. The most important result is the asymptotic behavior of the ratio of two neighboring multiple Charlier polynomials and the asymptotic behavior o f the distribution of the (scaled) zeros, which turn out to be uniformly distributed, independent of the choice of the parameters of the Poisson distributions. We also investigate the case where one of the parameters depends on the scaling and then find a combination of a uniform distrib ution and a new distribution, which in some cases lives on an interval d isjoint of the interval where the scaled zeros are uniformly distributed . We also give a generating function for multiple Meixner polynomials of the first and of the second kind and we compute the coefficients in the nearest neighbor recurrence relations explicitly. Using these formulas, we are able to build on recent results of Miki, Tsujimoto, Vinet and Zh edanov who introduced non-Hermitian oscillator Hamiltonians for which th e eigenstates can be expressed in terms of multiple Charlier polynomials or multiple Meixner polynomials of the first kind. We extend this by co nstructing non-Hermitian oscillator Hamiltonians for which the eigenstat es can be described in terms of multiple Meixner polynomials of the seco nd kind (for r = 2).status: Publishe
Swedish Landmarks in the Delaware Valley
No full textThis is an English-language edition of Dr. Esther Chilstrom Meixner's book, "Svenska spar vid Delaware." It was published in 1960, and printed by The Chancellor Press, Inc., Bridgeport, CT. The cover shows the Kalmar Nyckel Monument in Fort Christina State Park, Wilmington, Delaware
Modèles Combinatoires pour les Polynômes de Meixner
No full textNous décrivons trois modèles combinatoires pour les polynômes de Meixner mn(x: β, c), à savoir les endofonctions de Meixner, les permutations bicolorées et les permutations partiellement soulignées. Ce dernier modèle a été introduit par Kreweras, qui a étudié le cas particulier des polynômes mn (x; 1, 1/2)
Meixner-like functions having a rational z-transform
No full textSquare-summable causal functions can be expressed in a Meixner series. In principle, approximate filter synthesis is thus possible. However, Meixner filters are not realizable since the Meixner functions do not have a rational z-transform. A set of orthonormal functions is constructed with the following properties. Like the Meixner functions, these functions are a generalization of the discrete Laguerre functions and they have a polynomial character as well. In contrast with the Meixner functions, they have the desired property of a rational z-transform
Meixner orthogonal polynomials with parameters b and c [version 1.0]
No full textMatlab routine for the first N recurrence coefficients of Meixner orthogonal polynomials with parameters b and
Orthogonality relations of q-Meixner polynomials: with the use of spectral analysis
No full textOrthogonality relations of q-Meixner polynomials, polynomials in terms of basic hypergeometric series, will be proved by using spectral measures and a difference operator
Cheliplana caeca Meixner 1938
No full textCheliplana caeca Meixner, 1938 The name Cheliplana caeca was used by Meixner (1938) to refer to a species of Cheliplana with strongly curved proboscis hooks and a thick ‘cuticle’ lining the prepharyngeal tube. As noted by Marcus (1952), who refrained from including C. caeca in his key to Karkinorhynchidae, both the male and female genital structures are unknown, making it impossible to identify the species in the future. It is therefore considered a nomen nudum.Published as part of Gobert, Stefan, Diez, Yander L., Monnens, Marlies, Reygel, Patrick, Van Steenkiste, Niels W. L., Leander, Brian S. & Artois, Tom, 2021, A revision of the genus Cheliplana de Beauchamp, 1927 (Rhabdocoela: Schizorhynchia), with the description of six new species, pp. 453-494 in Zootaxa 4970 (3) on page 486, DOI: 10.11646/zootaxa.4970.3.2, http://zenodo.org/record/476669
Interlacing of zeros of quasi-orthogonal Meixner polynomials
No full textWe consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials characterised by −β, c ∈ (0, 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials Mn(x; β, c) with the zeros of their nearest orthogonal counterparts Ml(x; β + k, c), l, n ∈ ℕ, k ∈ {1, 2}, is also discussed.The DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) under grant number FA2016/008.http://www.tandfonline.com/loi/tqma202018-04-10hj2017Mathematics and Applied Mathematic
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