Pattern integration with improper Riemann integrals

Author:
R. E. Carr

Journal:
Proc. Amer. Math. Soc. **2** (1951), 925-931

MSC:
Primary 27.2X

DOI:
https://doi.org/10.1090/S0002-9939-1951-0045790-4

MathSciNet review:
0045790

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References | Similar Articles | Additional Information

**[1]**R. E. Carr and J. D. Hill,*Pattern integration*, Proc. Amer. Math. Soc.**2**(1951), 242–245. MR**0041200**, https://doi.org/10.1090/S0002-9939-1951-0041200-1**[2]**T. J. I'a Bromwich and G. H. Hardy,*The definition of an infinite integral as the limit of a finite or infinite series*, The Quarterly Journal of Pure and Applied Mathematics vol. 39 (1907-1908) pp. 222-240.**[3]**Aurel Wintner,*The sum formula of Euler-Maclaurin and the inversions of Fourier and Möbius*, Amer. J. Math.**69**(1947), 685–708. MR**0022927**, https://doi.org/10.2307/2371794

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DOI:
https://doi.org/10.1090/S0002-9939-1951-0045790-4

Article copyright:
© Copyright 1951
American Mathematical Society