associated

SearchAdvancedHelp

(0.000 seconds)

21—30 of 208 matching pages

21: David M. Bressoud

… ► 227, in 1980, Factorization and Primality Testing, published by Springer-Verlag in 1989, Second Year Calculus from Celestial Mechanics to Special Relativity, published by Springer-Verlag in 1992, A Radical Approach to Real Analysis, published by the Mathematical Association of America in 1994, with a second edition in 2007, Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, published by the Mathematical Association of America and Cambridge University Press in 1999, A Course in Computational Number Theory (with S.  Wagon), published by Key College Press in 2000, and A Radical Approach to Lebesgue’s Theory of Integration, published by the Mathematical Association of America and Cambridge University Press in 2007. …

22: Leonard C. Maximon

… ►He was also an Associate Editor for Physics for the DLMF project. … ►During this time he served as Associate Editor with responsibilities for all aspects of the project. … ►In November 2015, Maximon was named Associate Editor for Chapter 34.

23: 14.24 Analytic Continuation

§14.24 Analytic Continuation

►Let $s$ be an arbitrary integer, and $P_{\nu }^{-\mu }\left(z{\mathrm{e}}^{s\pi \mathrm{i}}\right)$ and ${𝑸}_{\nu }^{\mu }\left(z{\mathrm{e}}^{s\pi \mathrm{i}}\right)$ denote the branches obtained from the principal branches by making $\frac{1}{2}s$ circuits, in the positive sense, of the ellipse having $\pm 1$ as foci and passing through $z$. … ►Next, let $P_{\nu ,s}^{-\mu }\left(z\right)$ and ${𝑸}_{\nu ,s}^{\mu }\left(z\right)$ denote the branches obtained from the principal branches by encircling the branch point $1$ (but not the branch point $-1$) $s$ times in the positive sense. … ►For fixed $z$, other than $\pm 1$ or $\mathrm{\infty }$, each branch of $P_{\nu }^{-\mu }\left(z\right)$ and ${𝑸}_{\nu }^{\mu }\left(z\right)$ is an entire function of each parameter $\nu$ and $\mu$. ►The behavior of $P_{\nu }^{-\mu }\left(z\right)$ and ${𝑸}_{\nu }^{\mu }\left(z\right)$ as $z\to -1$ from the left on the upper or lower side of the cut from $-\mathrm{\infty }$ to $1$ can be deduced from (14.8.7)–(14.8.11), combined with (14.24.1) and (14.24.2) with $s=\pm 1$.

24: Nico M. Temme

… ►He is also one of the Associate Editors for Special Functions in the DLMF project and a Senior Associate Editor of the DLMF. … ►During this time he served as Associate Editor with responsibilities for all aspects of the project. … ►In November 2015, Temme was named Senior Associate Editor of the DLMF and Associate Editor for Chapters 3, 6, 7, and 12.

25: 14.22 Graphics

§14.22 Graphics

… ►

►

►

Figure 14.22.4: ${𝑸}_0^0\left(x+\mathrm{i}y\right)$, $-5\le x\le 5$, $-5\le y\le 5$. … Magnify 3D Help

26: 14.4 Graphics

… ►

§14.4(iii) Associated Legendre Functions: 2D Graphs

… ►

►►

Figure 14.4.24: ${𝑸}_0^{\mu }\left(x\right)$, $\mu =0,2,4,8$. Magnify

… ►

►►

Figure 14.4.28: ${𝑸}_1^{\mu }\left(x\right)$, $\mu =0,2,4,8$. Magnify

►

§14.4(iv) Associated Legendre Functions: 3D Surfaces

… ►

►

►

Figure 14.4.32: ${𝑸}_0^{\mu }\left(x\right)$, $0\le \mu \le 10$, . Magnify 3D Help

27: Daniel W. Lozier

… ►He is currently a Research Associate at NIST and a General Editor for the DLMF project. … ►Army Engineer Research and Development Laboratory in Virginia on finite-difference solutions of differential equations associated with nuclear weapons effects. … ►He has served as an associate editor of Mathematics of Computation and of the NIST Journal of Research. …

28: 6 Exponential, Logarithmic, Sine, and
Cosine Integrals

…

29: 7 Error Functions, Dawson’s and Fresnel Integrals

…

30: 8 Incomplete Gamma and Related
Functions

…