"GAMMA, BETA AND OTHER SPECIAL FUNCTIONS; FOURIER INTEGRALS AND APPLICATIONS; LEGENDRE FUNCTIONS AND APPLICATIONS; HERMITE, LAGUERRE AND OTHER ORTHOGONAL POLYNOMIALS"

This comprehensive booklet serves as an essential resource for students and professionals in mathematics, physics, and engineering. Spanning 67 pages, it delves into a variety of advanced mathematical concepts, structured to provide clarity and insight into special functions and their applications.

Contents

Gamma, Beta, and Other Special Functions
An exploration of the Gamma and Beta functions, including their definitions, properties, and significance in various fields of study

Fourier Integrals and Applications
Detailed coverage of Fourier integrals, demonstrating their application in signal processing and differential equations, along with practical examples

Legendre Functions and Applications
A thorough examination of Legendre functions, including their role in solving physical problems, particularly in spherical coordinates.

Hermite, Laguerre, and Other Orthogonal Polynomials
Insight into Hermite and Laguerre polynomials, highlighting their orthogonality properties and applications in quantum mechanics and statistical theory

This booklet is designed to be a practical guide, filled with examples, illustrations, and applications that make complex concepts accessible. Whether used as a reference or a study aid, it is an invaluable addition to the library of anyone looking to deepen their understanding of special functions in mathematical analysis.