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The Properties of a new Orthogonal Function Associated with the Confluent Hypergeometric Function

Published online by Cambridge University Press:  20 January 2009

George E. Chappell
George E. Chappell
Affiliation:
Univ. College, Swansea.
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The function whose properties are discussed in this note, is a special form of Whittaker's Confluent Hypergeometric Function, Wkm(z). It is the general solution of the Differential Equation

and can be obtained in the form of a series, terminating only when k is half a positive odd integer, viz.,

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , February 1924 , pp. 117 - 130
Copyright
Copyright © Edinburgh Mathematical Society 1924