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Summability Calculus A Comprehensive Theory of Fractional Finite Sums

This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material that has not been published before. Imp...

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Bibliographic Details
Main Author: Alabdulmohsin, Ibrahim M.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Subjects:
Number Theory
Functions Of Real Variables
Special Functions
Approximations And Expansions
Sequences, Series, Summability
Real Functions
Sequences (mathematics)
Approximation Theory
Ordinary Differential Equations
Differential Equations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Simple Finite Sums
  • 3 Composite Finite Sums
  • 4 Analytic Summability Theory
  • 5 Oscillating Finite Sums
  • 6 Computing Finite Sums
  • 7 The Language of Finite Differences
  • The Sum of the Approximation Errors of Harmonic Numbers
  • Glossary
  • Index

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