Cash App alle honneur%E2%98%8E%EF%B8%8F%2B1%2888%E2%80%2481%E2%80%92478%29%E2%98%8E%EF%B8%8F %22Number%22

SearchAdvancedHelp

(0.018 seconds)

1—10 of 875 matching pages

1: 3.6 Linear Difference Equations

… ►If $d_n=0$, $\forall n$, then the difference equation is homogeneous; otherwise it is inhomogeneous. … ►with $a_n\ne 0$, $\forall n$, can be computed recursively for $n=2,3,\mathrm{\dots }$. … ►Stability can be restored, however, by backward recursion, provided that $c_n\ne 0$, $\forall n$: starting from $w_N$ and $w_{N+1}$, with $N$ large, equation (3.6.3) is applied to generate in succession $w_{N-1},w_{N-2},\mathrm{\dots },w_0$. … ►Similar principles apply to equation (3.6.1) when $a_n{c}_n\ne 0$, $\forall n$, and $d_n\ne 0$ for some, or all, values of $n$. … ►For further information see Wimp (1984, Chapters 7–8), Cash and Zahar (1994), and Lozier (1980).

2: Bibliography C

… ►

Elliptic integrals of the first kind. SIAM J. Math. Anal. 8 (2), pp. 231–242.

ⓘ

External Links:

Document, MathReview (H. E. Fettis), ZentralBlatt

Referenced by:

§19.29(iii).

Encodings:

BibTeX

… ►

Calcolo delle funzioni speciali $\mathrm{\Gamma }(x)$, $\log \mathrm{\Gamma }(x)$, $\beta (x,y)$, $\mathrm{erf}(x)$, $\mathrm{erfc}(x)$ alle alte precisioni. Atti Accad. Sci. Lett. Arti Palermo Ser. (5) 2(1981/82) (1), pp. 7–25 (Italian).

ⓘ

Notes:

Translated title: Computation of the special functions $\mathrm{\Gamma }(x),\log \mathrm{\Gamma }(x),\beta (x,y),\mathrm{erf}(x),\mathrm{erfc}(x)$ to a high degree of precision

External Links:

MathReview, ZentralBlatt

Referenced by:

§5.24(ii).

Encodings:

BibTeX

… ►

A Unified Approach to Recurrence Algorithms. In Approximation and Computation (West Lafayette, IN, 1993), R. V. M. Zahar (Ed.), International Series of Computational Mathematics, Vol. 119, pp. 97–120.

ⓘ

External Links:

ISBN 0-8176-3753-2, MathReview (R. M. M. Mattheij), ZentralBlatt

Referenced by:

§3.6(vii).

Encodings:

BibTeX

… ►

Coulomb phase shift. American Journal of Physics 47 (8), pp. 683–684.

ⓘ

External Links:

Document

Referenced by:

§5.20.

Encodings:

BibTeX

… ►

Chebyshev approximations for the natural logarithm of the gamma function. Math. Comp. 21 (98), pp. 198–203.

ⓘ

External Links:

FullText, ZentralBlatt

Referenced by:

§5.23(i).

Encodings:

BibTeX

…

3: DLMF Project News

error generating summary

4: 27.21 Tables

… ►Lehmer (1914) lists all primes up to 100 06721. …Table III lists all solutions $n\le {10}^4$ of the equation $d\left(n\right)=m$, and Table IV lists all solutions $n$ of the equation $\sigma (n)=m$ for all $m\le {10}^4$. …8 gives examples of primitive roots of all primes $\le 9973$; Table 24. 9 lists all primes that are less than 1 00000. … ►Lehmer (1941) also has a section that supplies errata and corrections to all tables cited. …

5: 24.1 Special Notation

… ►Unless otherwise noted, the formulas in this chapter hold for all values of the variables $x$ and $t$, and for all nonnegative integers $n$. ►

Bernoulli Numbers and Polynomials

►The origin of the notation $B_n$, $B_n\left(x\right)$, is not clear. … ►

Euler Numbers and Polynomials

… ►The notations $E_n$, $E_n\left(x\right)$, as defined in §24.2(ii), were used in Lucas (1891) and Nörlund (1924). …

6: 34.14 Tables

… ►Tables of exact values of the squares of the $\mathit{3}j$ and $\mathit{6}j$ symbols in which all parameters are $\le 8$ are given in Rotenberg et al. (1959), together with a bibliography of earlier tables of $\mathit{3}j,\mathit{6}j$, and $\mathit{9}j$ symbols on pp. … ►Tables of $\mathit{3}j$ and $\mathit{6}j$ symbols in which all parameters are $\le 17/2$ are given in Appel (1968) to 6D. … ►In Varshalovich et al. (1988) algebraic expressions for the Clebsch–Gordan coefficients with all parameters $\le 5$ and numerical values for all parameters $\le 3$ are given on pp. …

7: Roderick S. C. Wong

… ►Wong was elected a Fellow of the Royal Society of Canada in 1993, a Foreign Member of the Academy of Science of Turin, Italy, in 2001, a Chevalier dans l’Ordre National de la Légion d’Honneur in 2004, and a Member of the European Academy of Sciences in 2007. … ►

2 Asymptotic Approximations

… ►In November 2015, Wong was named an Associate Editor for Chapters 2 and 18.

8: 27 Functions of Number Theory

Chapter 27 Functions of Number Theory

…

9: Mathematical Introduction

… ►Also, valuable initial advice on all aspects of the project was provided by ten external associate editors. … ►All chapters went through several drafts (nine in some cases) before the authors, validators, and editors were fully satisfied. … ►The Notations section includes all the notations for the special functions adopted in this Handbook. … ►All of the special function chapters include sections devoted to mathematical, physical, and sometimes other applications of the main functions in the chapter. … ►All of the special function chapters contain sections that describe available methods for computing the main functions in the chapter, and most also provide references to numerical tables of, and approximations for, these functions. …

10: 15.17 Mathematical Applications

… ►First, as spherical functions on noncompact Riemannian symmetric spaces of rank one, but also as associated spherical functions, intertwining functions, matrix elements of SL$(2,ℝ)$, and spherical functions on certain nonsymmetric Gelfand pairs. … ►By considering, as a group, all analytic transformations of a basis of solutions under analytic continuation around all paths on the Riemann sheet, we obtain the monodromy group. These monodromy groups are finite iff the solutions of Riemann’s differential equation are all algebraic. …