On Mathieu Functions

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Authors

DOI:

https://doi.org/10.18311/jims/1932/17411

Abstract

In a recent paper, Prof. Whittaker has shown that Mathieu functions satisfy the following recurrence formulae :

i ωn(x)ce1x(ix)+σn(x)cen(ix)=μncen-1(ix).......(1)

i Ïn(x)ce1x(ix)+Τn(x)cen(ix)=Ï…ucen+1(ix).......(2)

where μn and Vnare constants.