Introduction

Ibrahim M. Alabdulmohsin
Additional contact information
Ibrahim M. Alabdulmohsin: King Abdullah University of Science and Technology

Chapter Chapter 1 in Summability Calculus, 2018, pp 1-19 from Springer

Abstract: Abstract Generalization has been an often-pursued goal in mathematics. We can define it as the process of introducing new systems and operations in order to extend the domains of existing systems and operations consistently, while still preserving as many prior results as possible. In this chapter, we look into the question of how to generalize discrete finite sums and products from the set of integers into the entire complex plane, which give rise to the notion of fractional finite sums. We discuss the history of this problem in this chapter, describe the contributions of this book, and sketch an outline to the remainder of the chapters.

Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-74648-7_1

Ordering information: This item can be ordered from
http://www.springer.com/9783319746487

DOI: 10.1007/978-3-319-74648-7_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().