continuously differentiable

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21: 2.4 Contour Integrals

… ►(The branches of $t^{(s+\lambda -\mu )/\mu }$ and $z^{(s+\lambda )/\mu }$ are extended by continuity.) … ►On the interval let $q(t)$ be differentiable and ${\mathrm{e}}^{-ct}q(t)$ be absolutely integrable, where $c$ is a real constant. … ►Assume also (2.4.4) is differentiable. …

22: 10.20 Uniform Asymptotic Expansions for Large Order

… ►that is infinitely differentiable on the interval , including $z=1$. … ►Each of the coefficients $A_k(\zeta )$, $B_k(\zeta )$, $C_k(\zeta )$, and $D_k(\zeta )$, $k=0,1,2,\mathrm{\dots }$, is real and infinitely differentiable on the interval . … ►The function $\zeta =\zeta (z)$ given by (10.20.2) and (10.20.3) can be continued analytically to the $z$-plane cut along the negative real axis. …

23: Bibliography W

… ►

Infinitely differentiable generalized logarithmic and exponential functions. Math. Comp. 57 (196), pp. 723–733.

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External Links:

ISSN 0025-5718, FullText, Document, MathReview (F. W. J. Olver), ZentralBlatt

Referenced by:

§4.12.

Encodings:

BibTeX

… ►

Analytic Theory of Continued Fractions. D. Van Nostrand Company, Inc., New York.

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Notes:

Reprinted by Chelsea Publishing, New York, 1973 and AMS Chelsea Publishing, Providence, RI, 2000.

External Links:

ISBN 0-8218-2106-7, MathReview (R. C. Buck), ZentralBlatt

Referenced by:

§3.10(iii), §4.25, §4.9(i), §4.9(ii), Ch.4, §5.10.

Encodings:

BibTeX

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