Some Characterizations of the Extended Beta and Gamma Functions: Properties and Applications

The article represents the elementary and general introduction of some characterizations of the extended gamma and beta Functions and their important properties with various representations. This paper provides reviews of some of the new proposals to extend the form of basic functions and some closed-form representation of more integral functions is described. Some of the relative behaviors of the extended function, the special cases resulting from them when fixing the parameters, the decomposition equation, the integrative representation of the proposed general formula, the correlations related to the proposed formula, the frequency relationships, and the differentiation equation for these basic functions were investigated. We also investigated the asymptotic behavior of some special cases, known formulas, the basic decomposition equation, integral representations, convolutions, recurrence relations, and differentiation formula for these target functions by studying. Applications of these functions have been presented in the evaluation of some reversible Laplace transforms to the complex of definite integrals and the infinite series of related basic functions.

Design and implementation of intelligent building / smart building

The intelligent building is supposed to provide the environment and means for an optimal utilization of the building, according to its designation. This extended function of a building can be achieved only by means of an extensive use of building service systems, such as HVAC, electric power, communication, safety and security, transportation, sanitation, etc. Building intelligence is not related to the sophistication of service systems in a building, but rather to the integration among the various service systems, and between the systems and the building structure. Systems' integration can be accomplished through teamwork planning of the building, starting at the initial design stages of the building. This paper examines some existing buildings claimed to be “intelligent”, according to their level of systems' integration. Intelligent buildings respond to the needs of occupants and society, promoting the well-being of those living and working in them and providing value through increasing staff productivity and reducing operational costs. Intelligent Buildings considers cultural changes affecting the way people live and work, the importance of an integrated approach to design and management and the benefits technological developments can bring in developing sustainable buildings that meet users' needs.

Design and implementation of intelligent building / smart building

The intelligent building is supposed to provide the environment and means for an optimal utilization of the building, according to its designation. This extended function of a building can be achieved only by means of an extensive use of building service systems, such as HVAC, electric power, communication, safety and security, transportation, sanitation, etc. Building intelligence is not related to the sophistication of service systems in a building, but rather to the integration among the various service systems, and between the systems and the building structure. Systems' integration can be accomplished through teamwork planning of the building, starting at the initial design stages of the building. This paper examines some existing buildings claimed to be “intelligent”, according to their level of systems' integration. Intelligent buildings respond to the needs of occupants and society, promoting the well-being of those living and working in them and providing value through increasing staff productivity and reducing operational costs. Intelligent Buildings considers cultural changes affecting the way people live and work, the importance of an integrated approach to design and management and the benefits technological developments can bring in developing sustainable buildings that meet users' needs.

A (p,ν)-extension of Srivastava's triple hypergeometric function H_ B and its properties

In this paper, we obtain a ( p , ν ) {(p,\nu)} -extension of Srivastava’s triple hypergeometric function H B ⁢ ( ⋅ ) {H_{B}(\,\cdot\,)} , by using the extended beta function B p , ν ⁢ ( x , y ) {B_{p,\nu}(x,y)} introduced in [R. K. Parmar, P. Chopra and R. B. Paris, On an extension of extended beta and hypergeometric functions, J. Class. Anal. 11 2017, 2, 91–106]. We give some of the main properties of this extended function, which include several integral representations involving Exton’s hypergeometric function, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.

Interregional inequality in environmental and economic development in the Russian Federation

Using the most popular measures of inequality and recent statistical data, the authors estimate interregional inequalities in Russia. The specific aim of this study is to identify inequality in well-being indicators, which were calculated using a multiplicative model based on the A. Sen extended function. Our calculations have revealed that there is a significant interregional differentiation in the social well-being level. The environmentally adjusted well-being exhibits higher levels of inequality than the indicator that does not take into account the environmental component. The paper shows that from 2008 to 2018 the gaps between Russian regions had in some cases increased.

Lexical Retention in Contact Grammaticalisation: Already In Southeast Asian Englishes

Amongst the problems of contact grammaticalisation research in past studies has been, first, the problem of searching for diachronic evidence in relatively ‘new’ language situations, something which was advocated by Bruyn (2009), amongst others as essential to contact grammaticalisation research. Because of the absence of stage-by-stage diachronic evidence for contact grammaticalisation, many cases of ordinary contact-induced grammaticalisation may at first appear as simply calques (polysemy-copying in Heine & Kuteva 2005). The present study reveals the presence of lexical persistence in the age-graded distribution of the perfective marker already in Singaporean and Malaysian English, and demonstrates that even ordinary contact-induced grammaticalisation may be gradual if it is mediated by constraints from the lexifier source material. The study also questions the hypothesis of Total Systemic Transfer of the Chinese perfective aspectual system in Singapore English (Bao, 2001; 2005; 2015), and suggests an extended function for the Lexifier Filter in contact.

A (p,ν)-extension of Srivastava’s triple hypergeometric function HC

We obtain a (p,?)-extension of Srivastava?s triple hypergeometric function HC(?) by employing the extended Beta function Bp,?(x, y) introduced in Parmar et al. [J. Class. Anal. 11 (2017), 91-106]. We give some of the main properties of this extended function, which include several integral representations, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.