Geodesic
Summation of Series over Bourget Functions
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 627-636

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we derive formulas for summation of series involving J. Bourget's generalization of Bessel functions of integer order, as well as the analogous generalizations by H. M. Srivastava. These series are expressed in terms of the Riemann $\zeta$ function and Dirichlet functions $\eta$ , $\lambda$ , $\beta$ , and can be brought into closed form in certain cases, which means that the infinite series are represented by finite sums.
DOI : 10.4153/CMB-2008-062-6
Mots-clés : 33C10, 11M06, 65B10, Riemann zeta function, Bessel function, Bourget function, Dirichlet function 
Vidanović, Mirjana V.; Tričković, Slobodan B.; Stanković, Miomir S. Summation of Series over Bourget Functions. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 627-636. doi: 10.4153/CMB-2008-062-6
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