Some Boundary Value Problems Associated with The Heun Equation.

Sleeman, Brian David. (1966) Some Boundary Value Problems Associated with The Heun Equation. Doctoral thesis, University of Surrey (United Kingdom)..

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Abstract

In this thesis an attempt has been made to complete to a large extent one's knowledge of the solutions of the Heun equation. After the formulation of the equation and a discussion of the convergence of the power series solutions, a new notation is introduced, (Chapter 1). In Chapter 2 integral representations of the solutions of Heun's equation are discussed. Chapter 3 is concerned with certain orthogonality properties, while Chapter 4 deals with new non-linear integral equations satisfied by Heun functions and Heun polynomials. In Chapter 5 Lame's equation is discussed as a special case of Heim's equation. The objective of this chapter is to correct the statement that Lame functions of the second kind associated with the Lame polynomials can be expressed as a finite series of associated Legendre functions of the second kind. In Appendices A and B the work of two previous investigations is summarized.

Item Type:	Thesis (Doctoral)
Divisions :	Theses
Authors :	Name Email ORCID Sleeman, Brian David.
Date :	1966
Contributors :	Contribution Name Email ORCID http://www.loc.gov/loc.terms/relators/THS
Additional Information :	Thesis (Ph.D.)--University of Surrey (United Kingdom), 1966.
Depositing User :	EPrints Services
Date Deposited :	22 Jun 2018 15:15
Last Modified :	06 Nov 2018 16:54
URI:	http://epubs.surrey.ac.uk/id/eprint/848314

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