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Mathieu functions

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DharSC_1936redux.pdf (16.12Mb)
Date
1936
Author
Dhar, S. C.
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Abstract
 
 
This thesis is divided into two parts. In the first part, I have studied the properties of certain functions of the confluent hypergeometric types, viz. Functions of Mathieu, Whittaker, Weber and Bateman. The development of Heaviside's operational method and the perfection of the symbolic calculus by the researches of Carson, Van der Pol and and others have made it possible to study the functions more easily. The large number* of papers that have recently been published, shows at once its recognition as a powerful instrument in mathematical investigations by the mathematicians. In this thesis I have taken help of the method of this calculus to study the functions. The second part which I have denoted as supplementary papers, deals with two distinct subjects: (i) Automorphic Functions, and (ii) Relativity. They are, therefore, on subjects quite different from that of the first part.
 
URI
http://hdl.handle.net/1842/32886
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