Volume 4,  Issue 5, 2003

Article 100

ON INTEGRAL FORMS OF GENERALISED MATHIEU SERIES

P. CERONE AND C.T. LENARD

SCHOOL OF COMPUTER SCIENCES AND MATHEMATICS
VICTORIA UNIVERSITY OF TECHNOLOGY
PO BOX 14428, MCMC 8001
VIC, AUSTRALIA.
E-Mail: pc@csm.vu.edu.au
URL: http://rgmia.vu.edu.au/cerone

DEPARTMENT OF MATHEMATICS
LATROBE UNIVERSITY
PO BOX 199, BENDIGO, 
VICTORIA, 3552, AUSTRALIA.
E-Mail: C.Lenard@bendigo.latrobe.edu.au
URL: http://www.bendigo.latrobe.edu.au/mte/maths/staff/lenard/

Received 16 June, 2003; Accepted 08 December, 2003.
Communicated by: F. Qi

ABSTRACT.   Integral representations for generalised Mathieu series are obtained which recapture the Mathieu series as a special case. Bounds are obtained through the use of the integral representations.
Key words:
Mathieu Series, Bounds, Identities.

2000 Mathematics Subject Classification:
Primary 26D15, 33E20; Secondary 26A42, 40A30.

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