strictly%20monotonic
(0.002 seconds)
11—20 of 127 matching pages
11: 2.2 Transcendental Equations
…
►Let be continuous and strictly increasing when and
…
12: 10.37 Inequalities; Monotonicity
§10.37 Inequalities; Monotonicity
…13: 21.1 Special Notation
…
►
►
…
positive integers. | |
… | |
complex, symmetric matrix with strictly positive definite, i.e., a Riemann matrix. | |
… |
14: 3.8 Nonlinear Equations
…
►
(a)
►
(b)
…
►
and , do not change sign between and (monotonic convergence).
, , do not change sign in the interval , and (monotonic convergence after the first iteration).
3.8.15
…
►Consider and .
We have and .
…
15: 18.16 Zeros
…
►Then is strictly increasing in and strictly decreasing in ; furthermore, if , then is strictly increasing in .
…
16: 8 Incomplete Gamma and Related
Functions
…
17: 28 Mathieu Functions and Hill’s Equation
…
18: Bibliography K
…
►
Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library.
ACM Trans. Math. Software 20 (4), pp. 447–459.
…
►
Methods of computing the Riemann zeta-function and some generalizations of it.
USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
…
►
Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I.
Inverse Problems 20 (4), pp. 1165–1206.
…
►
The Askey scheme as a four-manifold with corners.
Ramanujan J. 20 (3), pp. 409–439.
…
►
Some completely monotonic functions of positive order.
Math. Comp. 79 (271), pp. 1697–1707.
…
19: 8.26 Tables
…
►
•
…
►
•
…
►
•
…
►
•
Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
20: 23 Weierstrass Elliptic and Modular
Functions
…