Volume 13 | Issue 4 |

 Abstract

This study aims to explore the integral representations of quadruple hypergeometric polynomials and establish their connections to multiple orthogonal polynomials, fractional calculus, and q-series. To achieve this, we utilized techniques from orthogonal polynomial theory and special function analysis. We generalized existing hypergeometric identities by incorporating multiple orthogonality conditions and applying integral transforms, including Mellin-Barnes integrals and fractional calculus operators. These methods allowed us to develop new representations and analyze their properties in a unified framework. Our findings include explicit integral expressions for quadruple hypergeometric polynomials and structural relationships with multiple orthogonal polynomials. Additionally, we developed a unified framework connecting classical hypergeometric function theory with generalized polynomial systems. This study extends existing hypergeometric function representations, enhances the understanding of multivariable special functions in mathematical and theoretical physics, and introduces novel computational tools for evaluating special functions. The integral representations derived in this work have practical applications in solving fractional differential equations and can be utilized in mathematical physics and applied analysis. Further research may focus on developing q-analogs and investigating applications in quantum mechanics, statistical physics, and approximation theory.

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 Keywords

Quadruple hypergeometric polynomials, Integral representations, Multiple orthogonal polynomials, Fractional calculus, q-series, Special functions, Mellin-Barnes integrals, continued fractions, q-Bessel functions, Fibonacci polynomials, Fractional differential equations, Sturm-Liouville problems, quantum mechanics, approximation theory, hypergeometric identities.

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Creative Commons Attribution 4.0 and The Open Definition

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Continuous Integration and Continuous Delivery (CI/CD) are the building blocks of the existing software engineering that offers the option to release reliably and quickly on cloud-based configurations. Because of the growing popularity of the multi-cloud strategies, the optimisation of CI/CD pipelines across the different vendors is a pressing concern. This review provides a comparison between Jenkins and Bamboo as CI/CD engines and Kubernetes as a backplane that provides orchestration in a multi-cloud environment. The outcome of an experimental benchmark indicates the robustness of the pipeline governance and orchestration in the performance of the lead time, the number of deployments, the first failure change, and the average time to healing. The analysis will be based on the recent reports in the field of declarative pipeline practices, GitOps frameworks, DevSecOps controls, and the migration patterns. The data indicate that the optimization of CI/CD in multi-cloud needs not only efficient toolchain but an adaptive orchestration, well-built governance and security incorporation. Future directions of research will be predictive orchestration models, and improved GitOps scalability, cross-tool governance models and automatized remediation strategies. This review offers a systematic base to comprehend current practice in CI/CD optimization as well as ascertaining avenues in the enhancement of practice and research in distributed multi-cloud topographies.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

CI/CD, Multi-cloud, Jenkins, Bamboo, Kubernetes, DevOps, GitOps, Pipeline Optimization, Orchestration, DevSecOps.

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

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Creative Commons Attribution 4.0 and The Open Definition

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Creative Commons Attribution 4.0 and The Open Definition

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The rapid growth of e-commerce platforms has driven the need for more scalable, resilient, and flexible architectures. Microservices architecture (MSA) has emerged as a key solution to address these challenges by decentralizing system components into independent services, each responsible for specific business functions. This review explores the impact of microservices on e-commerce platforms, emphasizing improvements in performance, scalability, and operational efficiency. We present a proposed model that integrates decentralized data management, event-driven communication, real-time data processing, and machine learning to optimize system performance. Through a comparative analysis, we demonstrate how the proposed model outperforms existing architectures, such as monolithic and hybrid systems, in areas like scalability, latency, and resource utilization. The review also discusses the implications for practitioners and policymakers, offering recommendations for future research in areas like machine learning integration, data consistency, and economic impact. This paper aims to inform researchers, decision-makers, and industry professionals about the latest advancements in microservices for e-commerce, providing valuable insights into the development of more reliable, scalable, and efficient e-commerce platforms.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Microservices Architecture, E-commerce Platforms, Scalability, Performance, Real-Time Data Processing, Event-Driven Architecture, Machine Learning, Predictive Systems, Cloud-Native Deployment, Service Meshes, API Gateway, Data Integration, Resource Optimization.

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Creative Commons Attribution 4.0 and The Open Definition

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Study of the route of arrival of Kushan rulers to India in the current perspective

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Creative Commons Attribution 4.0 and The Open Definition

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Study of the route of arrival of Kushan rulers to India in the current perspective

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Creative Commons Attribution 4.0 and The Open Definition

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This Paper present review on regenerative E-bicycle. Regenerative E-bicycle system will help to solve the major problems of fuel and pollution of vehicle driven from conventional fossil fuels. E-bicycle is the advance way of transportation because it is a green and clean mode of transport. The main aim of this paper is to make regenerative E- bicycle and study about its components which are needed for making the regenerative E- bicycle and design the system for it. Regenerative e bicycle works on the principle of closed loop theorem in which BLDC motor is used to provide high starting torque and coupled to the wheel through gear pulley and chain mechanism . The charging of the battery can be done through the regenerative mechanism of the alternator which is coupled directly to the paddle so that it can gain mechanical energy from the peddle.

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Creative Commons Attribution 4.0 and The Open Definition

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Electrical Bicycle, Electrical Vehicle, Brushless D.C Motor, Nickel Cadmium, Lithium ion

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Creative Commons Attribution 4.0 and The Open Definition

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This research offers a comparative study of M. M. Kaye and Rumer Godden, two prominent Anglo-Indian authors whose works vividly depict the cultural, political, and emotional landscapes of British India. Drawing on postcolonial theoretical frameworks, particularly the contributions of Edward Said, Homi Bhabha, and Gayatri Spivak, the study examines how each writer engages with themes of colonial legacy, identity, and cross-cultural interaction. Kaye's historical romances, including The Far Pavilions and Shadow of the Moon, blend documented events with fictional narratives, often romanticising the Raj while revealing its inherent tensions. Godden's novels, Black Narcissus and The River, present more intimate portrayals, exploring psychological complexities and the fragility of cultural understanding. Through qualitative textual analysis supported by historical research, the study identifies recurring motifs such as spatial divisions, hybrid identities, and cultural rituals, revealing both reinforcement and critique of imperial ideologies. The findings highlight convergences in thematic concerns alongside divergences shaped by biography, narrative style, and scope. By placing these authors in direct dialogue, the research contributes to postcolonial comparative literary studies and deepens understanding of colonial memory in Anglo-Indian fiction. It also opens pathways for further exploration of women's voices in colonial and postcolonial narratives.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Anglo-Indian fiction, Colonial legacy, Postcolonial criticism, Cultural hybridity, M. M. Kaye, Rumer Godden, Comparative literary analysis

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Creative Commons Attribution 4.0 and The Open Definition

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Indian writers who live abroad quite often write about their experiences in foreign land along with their experiences of their mother land. Many a time it is found that they write about cultures, incidents, and impressions imprinted on their minds as writers. Sudha Murty is one of the prominent writers of 21st Century India. She is a bilingual writer who writes in Kannada and in English. She is well known for her writings. Wise and Otherwise, How I taught My Grandmother to Read?, Grandma's Bag of Stories are her remarkable literary works. 'Dollar Bahu', the novel is written by her which revolves round the worlds of three women characters viz. Vinuta, Jamuna, and Gouramma. The first two are the daughters-in-law, the former, an Indian Bahu and the later the dollar Bahu. Moreover, the novel has many stories of the Indians who went to the US. In this sense, the novel is a kaleidoscope of human faces of different cultures from Indian to American. It is a multicultural novel which shows cultural transformation of the characters due to variety of factors. People of Indian roots gathered in the US for different purposes are depicted by Sudha Murty. She describes two generations of Indians- first, Indians by roots and second American by roots. Murty's novel, Dollar Bahu can be divided into two parts. One of these parts is the stories of Indians settled in the US. It is in this part that the novel deals with the problems of cultural transformation. The second generation of the Indians in America face problem in relation to cultural and traditional practices in their lives. Shama, an elder daughter of Radhakrishna and Savitri is a representative of that group which is born in India but brought up in America. Chandra Shekhar and Radhakrishana belong to that group of Indians who are Indians at their root and did use of foreign culture for fulfilling their dream of wealth and luxuries. The paper attempts to examine the cultural conflicts and cultural transformation depicted in the novel particularly in relation to the characters that are in problem of cultural identity.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Dollar Bahu, Cultural transformation, cultural identity.

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Creative Commons Attribution 4.0 and The Open Definition

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This concept of the compressed work week has really taken off as a hot topic in the last couple of years, with many companies using this as a means to help balance work and life, and to boost productivity. This study aims to determine employee's attitude towards compressed work weeks along with the benefits and drawbacks for those employers and employees involved. The study utilized a quantitative research method design. The results show that 70% of the people surveyed support the idea of a compressed work week, due to the many benefits such as more personal time, less commute time, and a better work life balance. However 30% of respondents stated that it would negatively affect work performance, that they would be tired all the time, and that the initial period of adjustment for some would be difficult as they would have to leave their comfort zones. The study suggest that for organization to try and implement compressed work week, maximum focus must be given on clear and open communication with employees, clear goal setting and performance management, employee involvement in policy making and periodic review, and opportunity for flexible work arrangements. This research contributes to the body of knowledge in work-family balance, employee wellbeing and organizational effectiveness, and is relevant to the concerns of policy makers, consultants, and academicians.

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Creative Commons Attribution 4.0 and The Open Definition

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Compressed work week, work-life balance, attitude of the employee, productivity, output of organization.

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Creative Commons Attribution 4.0 and The Open Definition

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V. S. Naipaul's Magic Seeds (2004) highlights the story of Willie Chandran, revealing themes of exile, political mimicry, and the elusive search for identity. This paper focuses that Naipaul portrays global displacement not as enriching but as dislocating, exposing the failure of ideological movements to reshape selfhood. Willie's experiences--from guerrilla involvement in India to existential stasis in London--underscore how revolutionary ideology collapses into sterile mimicry and personal emptiness. Ultimately, Magic Seeds reveals the "magic seeds" of ideological promise as paradoxically infertile, fostering not transformation but a deeper fragmentation of self.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Displacement, Quest for Identity, Exile, and Ideology in V.S. Naipaul's Magic Seeds

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Creative Commons Attribution 4.0 and The Open Definition