Integral representation of Mathieu (a, λ)-series

Integral Transforms and Special Functions

Volumn 16, Issue 8, 2005, Pages 685-689

  Pogány, Tibor K ^a  

^a University of Rijeka   (Croatia)

Author keywords

Dirichlet series; Euler McLaurin summation formula; Generalized Mathieu series; Laplace integral; Mathieu (a, ) series

Indexed keywords

EID: 30344437012     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652460500110297     Document Type: Article

References (8)

1. Qi, F., 2001, Inequalities for Mathieu series. RGMIA Research Report Collection, 4(2), Art. 3, 187-193. Available online at http://rgmia.vu.edu.au/v4n2.html
2. Qi, F., 2003, Integral expression and inequalities of Mathieu type series. RGMIA Research Report Collection 6(2), Art. 10. Available online at http://rgmia.vu.edu.au/v6n2.html
3. Cerone, P. and Lenard, C.T., 2003, On integral forms of generalized Mathieu series. Journal of Inequalities in Pure and Applied Mathematics, 4(5), Art. 100. Available online at http://jipam.vu.edu.au/v4n5/100_01.html
4. Guo, B.-N., 2000, Note on Mathieu inequality. RGMIA Research Report Collection, 3(3), Art. 5, 389-392. Availabel online at http://rgmia.vu.edu.au/v3n3.html
5. Tomovski, Ž. 2003, New double inequalities for Mathieu type series. RGMIA Research Report Collection, 6(2), Art. 17. Available online at http://rgmia.vu.edu.au/v6n2.html
6. Tomovski, Ž. and Trenčevski, K., 2003, On an open problem of Bai-Ni Guo and Feng Qi. Journal of Inequalities in Pure and Applied Mathematics, 4(2), Art. 29. Available online at http://jipam.vu.edu.au/v4n2/029_01.html
7. Karamata, J., 1949, Theory and Praxis of Stieltjes Integral. (Posebna izdanja CLIV: Srpska Akademija Nauka), Matematički institut, Knjiga I, Beograd (in Serbian).
8. Knopp, K., 1947, Theorie and Anwendung der unendlichen Reihen (4th Auflage) (Berlin und Heidelberg: Springer Verlag).