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XV.—Theorems on the Convergence and Asymptotic Validity of Abel's Series*

  • A. J. Macintyre (a1) and Sheila Scott Macintyre (a1)

Synopsis

In this paper we discuss the Abel series for a function F(z) which is regular in an angle | arg z | ≤ α and at the origin. We investigate conditions under which the series converges and conditions under which its sum is asymptotically equivalent to the function F(z) in the half-plane R(z) > 0.

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XV.—Theorems on the Convergence and Asymptotic Validity of Abel's Series*

  • A. J. Macintyre (a1) and Sheila Scott Macintyre (a1)

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