one variable

SearchAdvancedHelp

(0.006 seconds)

11—20 of 314 matching pages

11: 19.17 Graphics

… ►Because the $R$-function is homogeneous, there is no loss of generality in giving one variable the value $1$ or $-1$ (as in Figure 19.3.2). …

12: 1.10 Functions of a Complex Variable

… ►

§1.10(i) Taylor’s Theorem for Complex Variables

… ►Analytic continuation is a powerful aid in establishing transformations or functional equations for complex variables, because it enables the problem to be reduced to: (a) deriving the transformation (or functional equation) with real variables; followed by (b) finding the domain on which the transformed function is analytic. …

13: 19.16 Definitions

… ►When one variable is 0 without destroying convergence, any one of (19.16.14)–(19.16.17) is said to be complete and can be written as an $R$-function with one less variable: …

14: Bibliography F

… ►

The third Appell function for one large variable. J. Approx. Theory 165, pp. 60–69.

ⓘ

External Links:

ISSN 0021-9045, Document, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§16.13, §16.13.

Encodings:

BibTeX

… ►

The second Appell function for one large variable. Mediterr. J. Math. 10 (4), pp. 1853–1865.

ⓘ

External Links:

ISSN 1660-5446, Document, FullText, MathReview Entry, ZentralBlatt

Referenced by:

§16.13, §16.13.

Encodings:

BibTeX

…

15: 10.73 Physical Applications

… ►and on separation of variables we obtain solutions of the form ${\mathrm{e}}^{\pm \mathrm{i}n\varphi }{\mathrm{e}}^{\pm \kappa z}{J}_n\left(\kappa r\right)$, from which a solution satisfying prescribed boundary conditions may be constructed. … ►On separation of variables into cylindrical coordinates, the Bessel functions $J_n\left(x\right)$, and modified Bessel functions $I_n\left(x\right)$ and $K_n\left(x\right)$, all appear. …

16: Annie A. M. Cuyt

… ►A lot of her research has been devoted to rational approximations, in one as well as in many variables, and sparse interpolation. …

17: Mathematical Introduction

… ►Special functions with one real variable are depicted graphically with conventional two-dimensional (2D) line graphs. …

18: 36.12 Uniform Approximation of Integrals

… ►In the cuspoid case (one integration variable) …

19: 9.14 Incomplete Airy Functions

… ►Incomplete Airy functions are defined by the contour integral (9.5.4) when one of the integration limits is replaced by a variable real or complex parameter. …

20: 31.2 Differential Equations

… ►where $2{\omega }_1$ and $2{\omega }_3$ with $\mathrm{\Im }\left({\omega }_3/{\omega }_1\right)>0$ are generators of the lattice $𝕃$ for $\mathrm{\wp }\left(z|𝕃\right)$. … ►By composing these three steps, there result $2^3=8$ possible transformations of the dependent variable (including the identity transformation) that preserve the form of (31.2.1). … ►If $\tilde{z}=\tilde{z}(z)$ is one of the $3!=6$ homographies that map $\mathrm{\infty }$ to $\mathrm{\infty }$, then $w(z)=\tilde{w}(\tilde{z})$ satisfies (31.2.1) if $\tilde{w}(\tilde{z})$ is a solution of (31.2.1) with $z$ replaced by $\tilde{z}$ and appropriately transformed parameters. …If $\tilde{z}=\tilde{z}(z)$ is one of the $4!-3!=18$ homographies that do not map $\mathrm{\infty }$ to $\mathrm{\infty }$, then an appropriate prefactor must be included on the right-hand side. … ►Each is a substitution of dependent and/or independent variables that preserves the form of (31.2.1). …