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Special integrals

Record Type:	Electronic resources : Monograph/item
Title/Author:	Special integralsby Abhishek Mishra.
Author:	Mishra, Abhishek.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	xvi, 382 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Integral equations.
Online resource:	https://doi.org/10.1007/978-981-97-7514-9
ISBN:	9789819775149$q(electronic bk.)

Special integrals
Mishra, Abhishek.

Special integrals[electronic resource] /by Abhishek Mishra. - Singapore :Springer Nature Singapore :2025. - xvi, 382 p. :ill., digital ;24 cm. - University texts in the mathematical sciences,2731-9326. - University texts in the mathematical sciences..

Binomial Series -- Trigonometrical Series -- Special Integrals -- Pseudo-Exponential Functions -- Series Sums using Special Integrals -- Solutions to Binomial Series -- Solutions to Trigonometrical Series.

Targeted to upper-undergraduate and graduate students of mathematics, this book discusses special integrals and their applications in finding certain series sums. It starts with the differentiation and the integration methods for summing a series that is applied to find the sum of various binomial and trigonometrical series. It also discusses methods to find the sum of series involving the variables having exponents in integral or fractional powers of 2. Complex variables are freely used to derive several theorems, which result in several special integrals and series sums. Bessel coefficients, Bessel functions, and their various generalizations are also discussed in the book. As a particular case of generalized Bessel functions, pseudo-exponential functions are defined, and their properties are studied in the book. Broadly divided into two parts-Part 1 and Part 2-the book has six chapters in Part 1, whereas Part 2 has six chapters on solutions to the problems in Part 1. To understand the topics in the book, the minimum prerequisites are the knowledge of calculus, complex analysis, and Fourier series.

ISBN: 9789819775149$q(electronic bk.)

Standard No.: 10.1007/978-981-97-7514-9doiSubjects--Topical Terms:

185303
Integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.45

Special integrals
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520 $a Targeted to upper-undergraduate and graduate students of mathematics, this book discusses special integrals and their applications in finding certain series sums. It starts with the differentiation and the integration methods for summing a series that is applied to find the sum of various binomial and trigonometrical series. It also discusses methods to find the sum of series involving the variables having exponents in integral or fractional powers of 2. Complex variables are freely used to derive several theorems, which result in several special integrals and series sums. Bessel coefficients, Bessel functions, and their various generalizations are also discussed in the book. As a particular case of generalized Bessel functions, pseudo-exponential functions are defined, and their properties are studied in the book. Broadly divided into two parts-Part 1 and Part 2-the book has six chapters in Part 1, whereas Part 2 has six chapters on solutions to the problems in Part 1. To understand the topics in the book, the minimum prerequisites are the knowledge of calculus, complex analysis, and Fourier series.
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