Continued Fraction Approximations and Bounds for Special Functions

Kim, HyonChol; Ri, Kang; Hong, TaeYong

ISBN 10: 6138572955 / ISBN 13: 9786138572954

Published by Scholars' Press, 2022

About this Item

Seller Inventory # 26395826156

Bibliographic Details

• Title: Continued Fraction Approximations and Bounds for Special Functions
• Publisher: Scholars' Press
• Publication Date: 2022
• Language: English
• ISBN 10: 6138572955
• ISBN 13: 9786138572954
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This book is the mathematical reference book which is helpful and accessible for not only professional mathematicians but also readers who have a little knowledge of mathematics. Special functions and mathematical constants are pervasive in all fields of science and industry. The gamma function can be thought of as an extension of the factorial function, which is defined only for positive integers. The most remarkable point of the book is the method to construct continued fraction approximation and its applications. The book consists of 3 chapters. In Chapter 1, we give the introduction for the gamma function and related functions, and its approximations. Particularly, for the unprepared readers, we present the definitions and original approximations for them. Also, we introduce continued fraction approximations in details. In Chapter 2, we provide the main means for continued fraction approximation. Mainly, a remarkable method to construct continued fraction approximation is explained through the proofs of new theorems. Finally, in Chapter 3, we present new continued fraction approximations and bounds for the gamma function and related functions.