asymptotic formula

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11: Bibliography H

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Asymptotic formulae in combinatory analysis. Proc. London Math. Soc. (2) 17, pp. 75–115.

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Notes:

Reprinted in Ramanujan (1962, pp. 276–309).

External Links:

Document, MathReview Entry, ZentralBlatt

Referenced by:

§27.14(iii).

Encodings:

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12: Bibliography F

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The Edmonds asymptotic formulas for the $3j$ and $6j$ symbols. J. Math. Phys. 39 (7), pp. 3906–3915.

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External Links:

ISSN 0022-2488, Document, MathReview (A. J. Coleman), ZentralBlatt

Referenced by:

§34.8.

Encodings:

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13: Bibliography B

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Mathieu functions of general order: Connection formulae, base functions and asymptotic formulae. I–V. Philos. Trans. Roy. Soc. London Ser. A 301, pp. 75–162.

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External Links:

ISSN 0080-4614, FullText, MathReview (J. Meixner), ZentralBlatt

Referenced by:

§28.8(iv).

Encodings:

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A uniform asymptotic formula for orthogonal polynomials associated with $\exp (-x^4)$ . J. Approx. Theory 98, pp. 146–166.

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External Links:

ISSN 0021-9045, Document, MathReview (V. L. Deshpande), ZentralBlatt

Referenced by:

§18.32.

Encodings:

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14: Bibliography M

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Asymptotic formula for the number of plane partitions of positive integers. C. R. Acad. Bulgare Sci. 59 (4), pp. 361–366.

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External Links:

ISSN 1310-1331, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§26.12(iv).

Encodings:

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15: 2.11 Remainder Terms; Stokes Phenomenon

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§2.11(ii) Connection Formulas

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16: Bibliography K

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Asymptotic expansions of certain $q$-series and a formula of Ramanujan for specific values of the Riemann zeta function. Acta Arith. 107 (3), pp. 269–298.

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External Links:

ISSN 0065-1036, Document, Link, MathReview (Bruce C. Berndt), ZentralBlatt

Referenced by:

§17.2(i).

Encodings:

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Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I. Inverse Problems 20 (4), pp. 1165–1206.

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External Links:

ISSN 0266-5611, Document, MathReview (Shun Shimomura), ZentralBlatt

Referenced by:

§32.11(iv).

Encodings:

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17: 2.5 Mellin Transform Methods

… ►This is allowable in view of the asymptotic formula …

18: 18.2 General Orthogonal Polynomials

… ►For OP’s $p_n(x)$ with weight function in the class $𝒢$ there are asymptotic formulas as $n\to \mathrm{\infty }$, respectively for $x\in ℂ$ outside $[-1,1]$ and for $x\in [-1,1]$, see Szegő (1975, Theorems 12.1.2, 12.1.4). …

19: Bibliography

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Special value of the hypergeometric function ${}_3{}^{}F_2^{}$ and connection formulae among asymptotic expansions. J. Indian Math. Soc. (N.S.) 51, pp. 161–221.

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External Links:

ISSN 0019-5839, MathReview (R. A. Askey), ZentralBlatt

Referenced by:

§16.4(iii).

Encodings:

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20: 36.11 Leading-Order Asymptotics

§36.11 Leading-Order Asymptotics

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Asymptotics along Symmetry Lines

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