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Six Conjectures on Integration

Extension of Non-elementary Functions

Dipak Kumar Sen

Dharmendra Kumar Yadav

Jezik

Angleščina

Knjiga Mehka

Koda Libristo: 15981512

Založba Grin Publishing, november 2016

Research Paper (postgraduate) from the year 2012 in the subject Mathematics - Analysis, grade: Resea... Celoten opis

Koda Libristo: 15981512

97 b

40.16 €

Na zalogi pri dobavitelju Odposlali bomo v 5-8 dneh

Do 30 dni za vračilo

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.