On the convergence-abscissas of the generalized factorial series
Author:
Chuji Tanaka
Journal:
Proc. Amer. Math. Soc. 4 (1953), 150-160
MSC:
Primary 40.0X
DOI:
https://doi.org/10.1090/S0002-9939-1953-0056728-X
MathSciNet review:
0056728
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References | Similar Articles | Additional Information
- [1] E. Landau, Über die Grundlagen der Theorie der Fakultätenreihen, Münchener Ber. vol. 36 (1906).
- [2] S. Pincherle, Sulla serie fattoriale generalizzate, Rend. Circ. Mat. Palermo vol. 37 (1914).
- [3] G. Belardinelli, Su alcune serie de funzioni rationali, Rend. Circ. Mat. Palermo vol. 47 (1923).
- [4] Tomlinson Fort, Generalized factorial series, Trans. Amer. Math. Soc. 31 (1929), no. 2, 233–240. MR 1501479, https://doi.org/10.1090/S0002-9947-1929-1501479-6
- [5] -, The general theory of factorial series, Bull. Amer. Math. Soc. vol. 36 (1930).
- [6] N. E. Nörlund, Leçons sur les séries d'interpolation, Paris, 1926.
- [7] K. Knopp, Theory and application of infinite series, London and Glasgow, 1928.
- [8] M. Fujiwara, On the convergence-abscissa of general Dirichlet's series, Tôhoku Math. J. vol. 6 (1914).
- [9] T. Kojima, On the convergence-abscissa of general Dirichlet's series, Tôhoku Math. J. vol. 6 (1914).
- [10] D. V. Widder, The Laplace transform, Princeton, 1946.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1953-0056728-X
Article copyright:
© Copyright 1953
American Mathematical Society