Naslov
Some new integral representations of generalized Mathieu series and alternating Mathieu series

Autori
Tomovski, Živorad

Izvornik
Tamkang journal of mathematics (0049-2930) 41 (2010), 4; 303-312

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Mathieu type series; Alternating Mathieu type series; Integral representation; Dirichlet series

Sažetak
The main purpose of this paper is to present a number of new integral representations for the familiar Mathieu series $S_\mu(r ; \{; ; a_k\}; ; _{; ; k=1}; ; ^\infty)$ defined by Srivastava and Tomovski [12]as well as for its alternating version introduced by Pog\'any et al. [8], when $a_k = k^p, (k!)^p, (\ln k!)^p$, with $p>0$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA