Fourier series for the Legendre elliptic integrals

Integral Transforms and Special Functions

Volumn 17, Issue 7, 2006, Pages 499-505

  Conway, J T ^a  

^a UNIVERSITY OF AGDER   (Norway)

Author keywords

Elliptic integrals; Fourier series; Legendre functions

Indexed keywords

EID: 33745619774     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460600774422     Document Type: Article

References (8)

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2. Whittaker, E.T. and Watson, G.N., 1927, A Course, of Modern Analysis (4th edn) (Cambridge: Cambridge University Press).
3. Abramowitz, M. and Stegun, I.S., 1972, Handbook of Mathematical Functions (New York: Dover).
4. Gradshteyn, I.S. and Ryzhik, I.M., 1980, Table of Integrals, Series and Products (New York: Academic).
5. Byrd, P.F. and Friedman, M.D., 1971, Handbook of Elliptic Integrals for Engineers and Scientists (2nd edn) (Berlin: Springer).
6. Selfridge, R.G. and Maxfleld, J.E., 1958, Table of the Incomplete Elliptic Integral of the Third Kind (New York:Dover).
7. Cohl, H.S. and Tohline, J.E., 1999, A compact cylindrical Green's function expansion for the solution of potential problems. Astrophysical Journal, 527, 86-101.
8. Carslaw, H.S., 1906, Introduction to the Theory of Fourier Series and Integrals (London: Macmillan).