On the convergence-abscissas of the generalized factorial series
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- by Chuji Tanaka PDF
- Proc. Amer. Math. Soc. 4 (1953), 150-160 Request permission
References
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E. Landau, Über die Grundlagen der Theorie der Fakultätenreihen, Münchener Ber. vol. 36 (1906).
S. Pincherle, Sulla serie fattoriale generalizzate, Rend. Circ. Mat. Palermo vol. 37 (1914).
G. Belardinelli, Su alcune serie de funzioni rationali, Rend. Circ. Mat. Palermo vol. 47 (1923).
- Tomlinson Fort, Generalized factorial series, Trans. Amer. Math. Soc. 31 (1929), no. 2, 233–240. MR 1501479, DOI 10.1090/S0002-9947-1929-1501479-6 —, The general theory of factorial series, Bull. Amer. Math. Soc. vol. 36 (1930). N. E. Nörlund, Leçons sur les séries d’interpolation, Paris, 1926. K. Knopp, Theory and application of infinite series, London and Glasgow, 1928. M. Fujiwara, On the convergence-abscissa of general Dirichlet’s series, Tôhoku Math. J. vol. 6 (1914). T. Kojima, On the convergence-abscissa of general Dirichlet’s series, Tôhoku Math. J. vol. 6 (1914). D. V. Widder, The Laplace transform, Princeton, 1946.
Additional Information
- © Copyright 1953 American Mathematical Society
- 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