On q-Horn Hypergeometric Functions H6 and H7

This work aims to construct various properties for basic Horn functions H6 and H7 under conditions on the numerator and denominator parameters, such as several q-contiguous function relations, q-differential relations, and q-differential equations. Special cases of our main results are also demonstrated.

What reading Spinoza’s Ethics out loud brings to and takes from the text

It is contended by Gilles Deleuze that concepts can be understood as characters, and their interaction with other concepts dramatised. He proposes Spinoza’s Ethics as a text worthy of such dramatisation. I test Deleuze’s assertion, by staging a series of “affective readings”, 24-hour public readings out loud of the Ethics which unfold the question of how the concept of affect as it is treated there might be dramatised, and how we might be affected by it in the reading. This paper provides the philosophical justification of such a reading, and argues that an affective reading is one which makes perceptible the differential relations between the forces operating on the concept, and therefore needs to perform the concept of which it speaks, in a space of thought in which the drama of thinking the concept can be seen to be taking place. In turn, then, this paper considers what is meant by a “performative reading”. Given that the veracity of a performative reading of Ethics rests on the idea that reading it out loud brings to (or takes away from) the text something a silent reading does not, it is important to distinguish how reading out loud grasps the text differently from reading it silently, both cognitively in terms of what it demonstrates, and practically in terms of its effects.

A Fading Affect Bias First: Specific Healthy Coping with Partner-Esteem for Romantic Relationship and Non-Relationship Events

The Fading Affect Bias (FAB) is the faster fading of unpleasant affect than pleasant affect. Research suggests that the FAB is an indicator of general healthy coping, but it has not shown consistent specific healthy coping via differential relations of the FAB to individual differences across event types. Although previous research did not find specific healthy coping for the FAB across romantic relationship events, these researchers did not include non-relationship control events. Therefore, we examined the relation of the FAB to various relationship variables across romantic relationship events and non-relationship control events. We found general healthy coping in the form of robust FAB effects across both event types and expected relations between relationship variables and the FAB. We also found three significant three-way interactions with the FAB showing specific healthy coping for partner-esteem, which is novel for the FAB. Rehearsal ratings mediated all the three-way interactions.

Organizational Rhetoric as Subjectification

Given arguments that organizational rhetoric is disconnected from contemporary and useful trends in rhetorical theory writ-large, we build a case for rethinking organizational rhetoric’s founding concept of identification through recent innovations in rhetorical theory. Drawing from theories of psychoanalysis, racialization, and coloniality, we argue for an alternative understanding of organizational rhetoric premised on subjectification, where subjectification is the process through which a subject is brought into being on the basis of shifting contexts, relations, and imbrication in forces of power. We highlight three facets of organizational subjectification that can contribute to innovative organizational rhetorical research: differential relations, dependence on Otherness, and uneven mutuality. These facets, we argue, highlight how processes of coloniality and racialization are fundamental to our very being and becoming, providing a means of understanding organizational rhetoric as inherently political.

Fractional differential relations for the Lerch zeta function

We explore a recently opened approach to the study of zeta functions, namely the approach of fractional calculus. By utilising the machinery of fractional derivatives and integrals, which have rarely been applied in analytic number theory before, we are able to obtain some fractional differential relations and finally a partial differential equation of fractional type which is satisfied by the Lerch zeta function.

Theory of Mind and the Agreeableness-Antagonism Dimension: Differential Associations with Callousness, Aggression, and Manipulativeness

Theory of Mind (ToM) refers to how we identify and understand the mental states of others. ToM abilities vary with dimensions of normal-range personality and can be seriously impaired in a number of mental disorders, particularly those related to the Antagonism domain. The current study used a multi-task design to examine how ToM relates to Agreeableness-Antagonism subfactors, replicating and extending previous work. Participants (N = 335) completed self-report measures of the Big Five, empathy, and personality pathology, as well as tasks spanning mental state attribution, affect recognition, and mentalizing. Exploratory structural equation modeling was used to assess the impact of Agreeableness-Antagonism subfactors on ToM. A three-factor structure was derived for Agreeableness-Antagonism, with factors corresponding to Compassion-Callousness, Pacifism-Aggression, and Honesty-Manipulativeness. While higher Aggression and lower Compassion predicted worse ToM ability, higher Manipulativeness predicted better ToM ability. Findings replicate and extend work suggesting differential relations of specific Agreeableness-Antagonism subfactors with social cognition. We discuss our results with a focus on the importance of dimensional psychopathology models and facet-level research.

Strong coupling expansion of free energy and BPS Wilson loop in $$ \mathcal{N} $$ = 2 superconformal models with fundamental hypermultiplets

As a continuation of the study (in arXiv:2102.07696 and arXiv:2104.12625) of strong-coupling expansion of non-planar corrections in $$ \mathcal{N} $$ N = 2 4d superconformal models we consider two special theories with gauge groups SU(N) and Sp(2N). They contain N-independent numbers of hypermultiplets in rank 2 antisymmetric and fundamental representations and are planar-equivalent to the corresponding $$ \mathcal{N} $$ N = 4 SYM theories. These $$ \mathcal{N} $$ N = 2 theories can be realised on a system of N D3-branes with a finite number of D7-branes and O7-plane; the dual string theories should be particular orientifolds of AdS5 × S5 superstring. Starting with the localization matrix model representation for the $$ \mathcal{N} $$ N = 2 partition function on S4 we find exact differential relations between the 1/N terms in the corresponding free energy F and the $$ \frac{1}{2} $$ 1 2 -BPS Wilson loop expectation value $$ \left\langle \mathcal{W}\right\rangle $$ W and also compute their large ’t Hooft coupling (λ » 1) expansions. The structure of these expansions is different from the previously studied models without fundamental hypermultiplets. In the more tractable Sp(2N) case we find an exact resummed expression for the leading strong coupling terms at each order in the 1/N expansion. We also determine the exponentially suppressed at large λ contributions to the non-planar corrections to F and $$ \left\langle \mathcal{W}\right\rangle $$ W and comment on their resurgence properties. We discuss dual string theory interpretation of these strong coupling expansions.

A Class of Laguerre-Based Generalized Humbert Polynomials

Several mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade. Our paper aims to introduce another such polynomial, namely, Laguerre-based generalized Humbert polynomial, and investigate its properties. In particular, it derives elementary identities, recursive differential relations, additional symmetry identities, and implicit summation formulas.