A Study of Indefinite Nonintegrable Functions - Softcover

Yadav, Dharmendra Kumar; Sen, Dipak Kumar

Softcover

ISBN 10: 3659955531 ISBN 13: 9783659955532

Publisher: LAP LAMBERT Academic Publishing, 2016

Synopsis

First chapter starts with the definition of elementary function with previous algorithms on elementary & nonelementary functions. The second chapter contains Six Conjectures on Indefinite Nonintegrable Functions, which are traditionally known as nonelementary functions. In third chapter Dominating Function has been introduced, which dominates all most all elementary functions. In chapter four Different Types of Dominating Functions have been proposed with some properties. Chapter five contains two new functions Sequential Functions & Dominating Sequential Functions., which solves the problem of scarcity of elementary functions. In chapter six General Integrals of Dominating Sequential Functions have been generated and then indefinite integrals of some elementary and nonelementary functions have been derived. A Necessary & Sufficient Conditions for the Existence of Indefinite Integrals has been proposed in chapter seven. Possible integrals of all nonelementary functions discussed in chapter two have been discussed in chapter eight. Last chapter nine contains the Conclusion & Scope of Future Research in the field.

About this title

About the Author

Dharmendra Kumar Yadav Assistant Professor, Department of Mathematics, Shivaji College, University of Delhi, Raja Garden, Delhi, India. His areas of research are Nonelementary Functions, Vedic Mathematics, Imaginary Unit. Dr. D K Sen, Retired Associate Professor and Head, Department of Mathematics, R. S. More College, Govindpur, Dhanbad, India.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2016
• Language: English
• ISBN 10: 3659955531
• ISBN 13: 9783659955532
• Binding: Paperback
• Number of pages: 256