Dans cet article, on démontre quelques théorèmes nouveaux relatifs aux fonctions entières sommes de séries de Dirichlet ; ces résultats sont relatifs, en particulier, aux dérivées de et à une généralisation de la formule de Poisson.
@article{AIF_1966__16_2_209_0, author = {Kamthan, Pawan Kumar}, title = {On entire functions represented by Dirichlet series. IV}, journal = {Annales de l'Institut Fourier}, volume = {16}, year = {1966}, pages = {209-223}, doi = {10.5802/aif.241}, mrnumber = {37 \#1606}, zbl = {0145.08103}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1966__16_2_209_0} }
Kamthan, Pawan Kumar. On entire functions represented by Dirichlet series. IV. Annales de l'Institut Fourier, Tome 16 (1966) pp. 209-223. doi : 10.5802/aif.241. http://gdmltest.u-ga.fr/item/AIF_1966__16_2_209_0/
[1] On the maximum modulus and the maximum term of an entire Dirichlet series; Proc. Amer. Math. Soc., 12, (1962), 717-721. | MR 23 #A3829 | Zbl 0126.29003
,[2] Uber die obere Grenze des Absoluten Betrages einer analytischen Funktion auf Geraden; Math. Zeit., 8, (1920), 237-240. | JFM 47.0274.03
,[3] A note on the maximum term and the rank of an entire function represented by Dirichlet series; Math. Student, 31, N° 1-2, (1962), 17-33. | Zbl 0226.30024
,[4] On the maximum term and its rank of an entire function represented by Dirichlet series (II), Raj. Uni, Studies Jour., Phy. Sec. (1962), 1-14.
,[5] A theorem on step function; J. Gakugei, Tokushima Uni., 13, (1962), 43-47. | MR 30 #4943 | Zbl 0115.27701
,[6] On entire functions represented by Dirichlet series, Monat. für. Math., 68, (1964), 235-239. | MR 30 #250 | Zbl 0126.08802
,[7] On entire functions represented by Dirichlet series (II); Monat. für. Math., 69, (1965), 146-150. | MR 30 #4946 | Zbl 0144.07204
,[8] On entire functions represented by Dirichlet series (III); Monat. für. Math., 69, (1965), 225-229. | MR 32 #215 | Zbl 0132.30101
,[9] On the mean values of an entire function represented by Dirichlet series, Acta Math. Aca., Sci. Hung., 15, Fasc. 1-2, (1964), 133-136. | MR 29 #2371 | Zbl 0171.04301
,[10] Dirichlet Series, Rice Instt. Paph., Vol. 31, N° 4, (1944). | MR 6,267e | Zbl 0063.03767
,[11] On entire functions and their derivatives represented by Dirichlet series; Ganita (Lucknow), 9, (1958), 83-93. | MR 21 #7300 | Zbl 0092.29601
,[12] Integral Functions, Chel. Pub., New York, (1949).
,[13] Sur les droites de Borel de certaines fonctions entières; Ann. École Normale, 68, (1951), 65-104. | Numdam | MR 12,815d | Zbl 0045.03802
,