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Research Paper (postgraduate) from the year 2012 in the subject Mathematics - Miscellaneous, Vinoba Bhave University (Shivaji College, University of Delhi), language: English, abstract: The present book introduces new functions named as dominating functions, sequential functions and dominating sequential functions, which dominates all most all classical elementary functions. Following the tradition each new function has been divided into four types as trigonometric, hyperbolic, exponential and logarithmic functions. In the book we find that the classical elementary functions are the particular case of the new functions.This is the reason of calling them dominating functions. In fact dominating functions behave like superset of the classical one as will be seen in the book. These functions solve the lack of mathematical notations for many nonelementary functions generated from indefinite integrations. Some of the examples have been given in the present book. The students, teachers and researchers will find new functions for further research in different areas of mathematics, physics, etc.
About the author
Dharmendra Kumar Yadav got schooling from Putki High School, Putki, Dhanbad. He graduated with Honors from RSP College, Jharia and Post-graduated from P K Roy Memorial College, Dhanbad in Mathematics. He did M. Phil. from Alagappa University, Tamil Nadu. Then he got his doctorate degree from Vinoba Bhave University, Hazaribag, Jharkhand under the supervision of Dr. D. K. Sen on the topic entitled A Study of Indefinite Non-integrable Functions. In Vedic Mathematics He developed Aanuruppen-Binomial Method using Vedic Mathematics formula Aanuruppen Viddhi and Binomial theorem. In Complex Analysis he applied Law of Trichotomy on Imaginary Unit 'iota' and proved many properties related to it. By using it, he extended the real number to Imaginary Number Line and then ended to a Circular Number Line. He proved the Big-bang Theory and Pulsating Theory of the universe by applying the concept of Imaginary unit 'iota'. He has published more than 25 research papers in journals of national & international repute and presented them in more than 10 conferences and seminars. His areas of research are Integral Calculus, Nonelementary Functions, Imaginary Unit, Vedic Mathematics.
