Methods for the Summation of Series

ISBN-13: 9781032195001 / Angielski / Miękka / 2024 / 436 str.

Tian-Xiao He

Opis

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered.

Spis treści

Foreword
Testimonial
Preface
Biography
Symbols
1.Classical Methods from Infinitesimal Calculus
2.Symbolic Methods
3.Source Formulas for Symbolic Methods
4.Methods of Using Special Function Sequences, Number Sequences, and Riordan Arrays
5.Extension Methods
Bibliography
Index

O autorze

Tian-Xiao He received Ph. D. degrees in at Dalian University of Technology, Dalian, and Texas A&M University, College Station, respectively. Dr. He is a Professor of Mathematics at Illinois Wesleyan University and Earl and Marian A. Beling Professor of Natural Science at Illinois Wesleyan University. Dr. He has authored or co-authored over 150 research articles and 7 volumes in mathematics and is presently an editor/chief editor for several math journals.