Uniform asymptotic expansions for the Barnes double gamma function

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 453, Issue 1964, 1997, Pages 1817-1829

  Billingham, J ^a   King, A C ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011831967     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1997.0098     Document Type: Article

References (11)

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2. Barnes, E. W. 1899 The genesis of the double gamma functions. Proc. Lond. Math. Soc. 31, 358-381.
3. Billingham, J. & King, A. C. 1995 The interaction of a moving fluid/fluid interface with a flat plate. J. Fluid Mech. 296, 325-351.
4. Ehrenmark, U. T. 1987 Far field asymptotics of the two-dimensional linearised sloping beach problem. SIAM Jl Appl. Math. 47, 965-981.
5. Giladi, E. & Keller, J. B. 1994 Eulerian number asymptotics. Proc. R. Soc. Lond. A 445, 291-303.
6. Gradshteyn, I. S. & Ryzhik, I. M. 1994 Table of integrals, series and products, 5th edn, pp. 688. London: Academic.
7. King, A. C. 1991 Moving contact lines in slender fluid wedges. Q. Jl Mech. Appl. Math. 44, 173-192.
8. Lawrie, J. B. 1990 Surface tension driven flow in a wedge. Q. Jl Mech. Appl. Math. 43, 251-273.
9. Lawrie, J. B. & King, A. C. 1994 Exact solution to a class of functional difference equations with application to a moving contact line flow. Euro. Jl Appl. Math. 5, 141-157.
10. Lennep, A. G. R. Van 1973 The kernel of Sommerfield's transform as solution to difference equations for a class of diffraction problems. J. Appl. Phys. 45, 4401-4405.
11. Williams, W. E. 1959 Diffraction of an E-polarized wave by an imperfectly conducting wedge. Proc. R. Soc. Lond. A 252, 376-393.