The new properties of the theta functions
Czekalski, Stefan
Annales mathématiques Blaise Pascal, Tome 20 (2013), p. 391-398 / Harvested from Numdam
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It is shown, that the function H ( x ) = ∑ k = - ∞ ∞ e - k 2 x satisfies the relation H ( x ) = ∑ n = 0 ∞ ( 2 π ) 2 n ( 2 n ) ! H ( n ) ( x ) . 

@article{AMBP_2013__20_2_391_0,
     author = {Czekalski, Stefan},
     title = {The new properties of the theta functions},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {20},
     year = {2013},
     pages = {391-398},
     doi = {10.5802/ambp.332},
     zbl = {1282.33030},
     mrnumber = {3138035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2013__20_2_391_0}
}

Czekalski, Stefan. The new properties of the theta functions. Annales mathématiques Blaise Pascal, Tome 20 (2013) pp. 391-398. doi : 10.5802/ambp.332. http://gdmltest.u-ga.fr/item/AMBP_2013__20_2_391_0/

[1] Bellman, R. A Brief Introduction to Theta Functions, Hall, Rinehart and Winston, New York (1961) | MR 125252 | Zbl 0098.28301

[2] Krazer, A. Lehrbuch der Theta - Funktionen, Chelsea, New York (1971) | Zbl 0212.42901