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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Six Conjectures on Integration: Extension of Non-elementary Functions

Six Conjectures on Integration: Extension of Non-elementary Functions

Yadav, Dharmendra Kumar
Sen, Dipak Kumar

Paperback

General Mathematics

ISBN10: 3668357994
ISBN13: 9783668357990
Publisher: Grin Verlag
Published: Feb 23 2017
Pages: 100
Weight: 0.31
Height: 0.24 Width: 5.83 Depth: 8.27
Language: English
Research Paper (postgraduate) from the year 2012 in the subject Mathematics - Analysis, grade: Research Project, Vinoba Bhave University (Shivaji College, University of Delhi, Raja Garden, Delhi), course: Ph. D., language: English, abstract: In this book, six conjectures on non-elementary functions based on indefinite integrals have been introduced. These conjectures give an infinite number of non-elementary functions in the sense that they cannot be integrated because for them no anti-derivatives exist in the form of elementary functions. These functions behave like a super set of many traditional non-elementary functions as can be seen in the examples on each conjecture. Two examples discussed by Marchisotto & Zakeri and the strong Liouville's theorem played an important role in proving each conjecture and its associated examples. These conjectures open up many more problems in the field of integral calculus for further research.

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