Pringsheim theorem for continued fractions

SearchAdvancedHelp

(0.002 seconds)

31—40 of 241 matching pages

31: 1.4 Calculus of One Variable

… ►

Mean Value Theorem

… ►

Fundamental Theorem of Calculus

… ►

First Mean Value Theorem

… ►

Second Mean Value Theorem

… ►

§1.4(vi) Taylor’s Theorem for Real Variables

…

32: 14.14 Continued Fractions

§14.14 Continued Fractions

…

33: 31.18 Methods of Computation

… ►The computation of the accessory parameter for the Heun functions is carried out via the continued-fraction equations (31.4.2) and (31.11.13) in the same way as for the Mathieu, Lamé, and spheroidal wave functions in Chapters 28–30.

34: Annie A. M. Cuyt

… ►Subsequently she was a Research fellow with the Alexander von Humboldt Foundation (Germany), she obtained the Habilitation (1986) and became author or co-author of several books, including Handbook of Continued Fractions for Special Functions. …

35: 1.6 Vectors and Vector-Valued Functions

… ►when $f$ is continuously differentiable. … ►

Green’s Theorem

… ►

Stokes’s Theorem

… ►

Gauss’s (or Divergence) Theorem

… ►

Green’s Theorem (for Volume)

…

36: Bibliography

… ►

Characterization theorems for orthogonal polynomials. In Orthogonal Polynomials (Columbus, OH, 1989), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 294, pp. 1–24.

ⓘ

External Links:

Link, MathReview (Walter Van Assche), ZentralBlatt

Referenced by:

§18.3.

Encodings:

BibTeX

… ►

Monotonicity theorems and inequalities for the complete elliptic integrals. J. Comput. Appl. Math. 172 (2), pp. 289–312.

ⓘ

External Links:

ISSN 0377-0427, Document, MathReview (Živorad Tomovski), ZentralBlatt

Referenced by:

§19.9(i).

Encodings:

BibTeX

… ►

Theorems on generalized Dedekind sums. Pacific J. Math. 2 (1), pp. 1–9.

ⓘ

External Links:

MathReview (N. G. de Bruijn), ZentralBlatt

Referenced by:

(25.11.41), (25.11.42), §25.11(xii).

Encodings:

BibTeX

… ►

A Centennial History of the Prime Number Theorem. In Number Theory, Trends Math., pp. 1–14.

ⓘ

External Links:

MathReview (Giovanni Coppola), ZentralBlatt

Referenced by:

(25.16.2), (25.16.4), §25.16(i), §25.16.

Encodings:

BibTeX

… ►

Recurrence relations, continued fractions, and orthogonal polynomials. Mem. Amer. Math. Soc. 49 (300), pp. iv+108.

ⓘ

External Links:

ISSN 0065-9266, MathReview (W. A. Al-Salam), ZentralBlatt

Referenced by:

§18.28(iv).

Encodings:

BibTeX

…

37: Bibliography L

… ►

Démonstration d’un Théoréme d’Arithmétique. Nouveau Mém. Acad. Roy. Sci. Berlin, pp. 123–133 (French).

ⓘ

Notes:

Reprinted in Oeuvres, Vol. 3, pp. 189–201, Gauthier-Villars, Paris, 1867

External Links:

FullText

Referenced by:

§27.13(iii).

Encodings:

BibTeX

… ►

Generating Bessel functions in Mie scattering calculations using continued fractions. Applied Optics 15 (3), pp. 668–671.

ⓘ

Referenced by:

§3.10(iii), §3.10(iii), Erratum (V1.0.24) for Paragraph Steed’s Algorithm (in §3.10(iii)).

Encodings:

BibTeX

… ►

Continued Fractions with Applications. Studies in Computational Mathematics, North-Holland Publishing Co., Amsterdam.

ⓘ

External Links:

ISBN 0-444-89265-6, MathReview (Olav Njåstad), ZentralBlatt

Referenced by:

§1.12(ii), §1.12(iv), §1.12(v), §15.7, §18.13, §3.10(ii), §3.10(iii), §3.11(iv), §4.25, §4.39, §4.9(i), §4.9(ii), §5.10, §6.9, §7.18(v), §7.9.

Encodings:

BibTeX

… ►

Two index laws for fractional integrals and derivatives. J. Austral. Math. Soc. 14, pp. 385–410.

ⓘ

External Links:

Document, MathReview (C. Fox), ZentralBlatt

Referenced by:

§1.15(vi), §1.15(vii).

Encodings:

BibTeX

…

38: 1.15 Summability Methods

… ►

§1.15(vi) Fractional Integrals

►For $\mathrm{\Re }\alpha >0$ and $x\ge 0$, the Riemann-Liouville fractional integral of order $\alpha$ is defined by … ►

§1.15(vii) Fractional Derivatives

… ►Note that ${𝐷}^{1/2}𝐷\ne {𝐷}^{3/2}$. … ►

§1.15(viii) Tauberian Theorems

…

39: 14.32 Methods of Computation

… ►

Evaluation (§3.10) of the continued fractions given in §14.14. See Gil and Segura (2000).

…

40: 15.7 Continued Fractions

§15.7 Continued Fractions

…