Special functions are mathematical functions that have established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. This short text gives clear descriptions and explanations of the Gamma function, the Probability Integral and its related functions, Spherical Harmonics Theory, The Bessel function, Hermite polynomials and Laguerre polynomials. Each chapter finishes with a description of how the function is most commonly applied and a set of examples for the student to work through.

In today's world, the use of technology is growing rapidly, and people need effective solutions for their real-life problems. This book discusses smart applications of associated technologies to develop cohesive and comprehensive solutions for the betterment of humankind. It comprehensively covers the effective use of the Internet of Things (IoT), wireless sensor network, wearable sensors, body area network, cloud computing, and distributed computing methodologies. The book comprehensively covers IoT and fog computing sensor supported technologies or protocols including web of things, near-field communication, 6LoWPAN, LoRAWAN, XMPP, DDS, LwM2M, Mesh Protocol, and radio-frequency identification. The book- Discusses smart applications to develop cohesive and comprehensive solutions for real-life problems. Covers analytical descriptions with appropriate simulation and prototype models. Examines the role of IoT and fog computing technologies during global emergency situations. Discusses key technologies including cloud computing, 5G communication, big data, artificial intelligence, control systems, and wearable sensors. The text is primarily written for graduate students, and academic researchers working in diverse fields of electrical engineering, biomedical engineering, electronics and communication engineering, computer engineering, and information technology.

Intensified agrarian and industrial activity has led to earth's soil and groundwater resources becoming polluted with hazardous materials. Bioremediation delivers a green technology using dynamics of living organisms, typically bacteria, fungi, microalgae and also plants to eliminate contaminants from ecosystem. This biological know-how is not only cost-effective compared to conventional physico-chemical approaches, but also very successful and is being employed in the field. This book focuses on important issues for several critical and common environmental pollutants, resulting in a compilation having recent updates on the bioremediation applications towards green and clean environment. This volume also describes updates on various novel approaches of bioremediation including nanotechnology, rhizomicrobiome technology, composting, metagenomics, and biosurfactants-based bioremediation. This volume is a resource for researchers, environmentalists, professionals and policy makers.

Microbial Technology for Agro-Ecosystems: Crop Productivity, Sustainability, and Biofortification describes the application of competent microbes in plant growth promotion, nutrient management and recycling from molecular perspectives. Understanding of molecular mechanism of Microbial diversity in association with plant roots is very imperative for plant health and ecosystem equilibrium.

This book describes many novel approaches of microbial bioremediation including conventional and modern approaches, metagenomics, biosurfactants and nano-based bioremediation. Also presents up-to-date knowledge about biodegradation of solid and liquid contaminants in the rhizospheric zone by plant (rhizo)-microbiome interface. It also illustrates communication pathways based on evolving methodologies, bioinformatic tools which provides insights into the functional dynamics of bioremediation process by the host-microbiome interface. The different chapters explain the mechanism and outcomes during the process of bioremediation. The book broadly depicts the following: Advances in bioremediation through nanoremediation, rhizo-remediation, bioremediation of different ecosystems like polluted waters, industrial effluents, bioremediation of metal and organic pollutants, toxic dyes etc. The book is very useful for researchers and students in the fields of applied and environmental microbiology. It is also meant for industry experts and professionals working in the field of bioremediation and waste management.