Transmutations and Applications: a survey
by Sergei M. Sitnik
Publisher: arXiv 2010
Number of pages: 141
Description:
We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, transmutations for general differential operators with variable coefficients, Sonine and Poisson transmutations, transmutations and fractional integrals, etc.
Download or read it online for free here:
Download link
(870KB, PDF)
Similar books
![Book cover: Introduction to Analysis](images/11145.jpg)
by Irena Swanson - Purdue University
Students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.
(10784 views)
![Book cover: Elementary Mathematical Analysis](images/8770.jpg)
by J.W. Young, F.M. Morgan - The Macmillan Company
The book presents a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.
(12048 views)
![Book cover: Nonstandard Analysis](images/5941.jpg)
by J. Ponstein
This book is concerned with an attempt to introduce the infinitesimals and the other 'nonstandard' numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematically sound, and to be complete within obvious limits.
(13008 views)
![Book cover: Set Theory and Topology: An Introduction to the Foundations of Analysis](images/9402.jpg)
by Felix Nagel - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.
(12508 views)