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The authors propose a rather elementary method to compute a family of integrals on the half line, involving positive powers of sin x and negative powers of x, depending on the integer parameters n≥q≥1.

Combinatorics, sine and cosine integral functions.

The authors prove an explicit formula to evaluate sinc-type integrals.

The proof is not present in the current literature, and it could be of interest for a large audience.

Newly established intersections between offline and online channels create room for enhancing inter-channel synergies. The nature and structure of emerging markets only further emphasize the need to expand existing knowledge. Consequently, this study investigates inter-channel synergy creation during offline–online retail integration in emerging markets.

Data collected from 97 companies in Serbia that incorporated online channels into their offline retailing businesses were analyzed using the structural equation modeling method.

The results show that retailers who have undergone click-to-brick integration in the emerging markets struggle to leverage physical presence for inter-channel synergy creation through digital channels. Essentially, retailers integrating clicks into bricks in emerging markets are less likely to achieve immediate omni-channel synergy, resorting to a multi-iterative transition process.

This research synthesizes knowledge on inter-channel synergy creation in an omni-channel context, as well as existing findings regarding inter-channel integration. This paper presents the first comprehensive study on inter-channel synergy creation during click-to-brick integration in emerging retail markets. Moreover, this study outlines challenges facing retailers seeking channel synergy during click-to-brick integration. The study results have theoretical and practical implications regarding inter-channel synergy creation in the multi-channel environment of emerging markets.

This paper aims at supporting business process designers in modelling collaborative scenarios in terms of hierarchical BPMN collaboration diagrams, to enforce consistency among different hierarchical levels.

The proposed approach is based on a set of guidelines to apply during the modelling of hierarchical diagrams. These guidelines address consistency issues related to the hiding capability provided by sub-process and call activity elements, which may obscure behaviours at inner levels, especially exchange of messages, that are inconsistent with those in other hierarchical levels. A laboratory experience validates the guidelines' effectiveness.

The paper points out the issues of hierarchical diagrams, and the lack of support in this context from the existing BPMN modelling tools. Moreover, through a laboratory experience, the paper shows the benefits carried by the proposed guidelines concerning the quality of the modelled diagrams.

The proposed guidelines have been implemented in a consistency checking tool that avoids consistency errors during the modelling activity. To foster its usage, the tool has been integrated into the Eclipse BPMN modelling environment.

The paper, employing consistency guidelines, provides a novel solution to the weaknesses of hierarchical modelling.