Doubly indexed infinite series

Dissertant

Abu al-Ees, Ahid Khalil

Thesis advisor

Habil, Isa D.

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2008

English Abstract

As we know the theory of double series has been widely used in mathematics and entered in many applications.

So we discuss important cases in the theory of double series.

The first case is that when can we interchange the order of summations in a double sum without altering the sum? We present several results.

We also present the concept of Cauchy’s product and we give the related theorems. We also discuss the case of divergent double series and produce several results on the method of sum ability of double series, such as transformation of double sequences and series and the concept of double absolute sum ability factor theorem which is a generalization of absolute sum ability factor for single series.

Main Subjects

Mathematics

Topics

No. of Pages

69

Table of Contents

Contents.

Abstract.

Chapter 1 : Double sequences.

Chapter 2 : Double series.

Chapter 3 : Divergent double series.

American Psychological Association (APA)

Abu al-Ees, Ahid Khalil. (2008). Doubly indexed infinite series. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-300220

Modern Language Association (MLA)

Abu al-Ees, Ahid Khalil. Doubly indexed infinite series. (Master's theses Theses and Dissertations Master). Islamic University. (2008).
https://search.emarefa.net/detail/BIM-300220

American Medical Association (AMA)

Abu al-Ees, Ahid Khalil. (2008). Doubly indexed infinite series. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-300220

Language

English

Data Type

Arab Theses

Record ID

BIM-300220