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.