Bohr-Mollerup%20theorem
(0.001 seconds)
11—20 of 198 matching pages
11: 10.44 Sums
…
►
§10.44(i) Multiplication Theorem
… ►§10.44(ii) Addition Theorems
►Neumann’s Addition Theorem
… ►Graf’s and Gegenbauer’s Addition Theorems
…12: 3.8 Nonlinear Equations
…
►Initial approximations to the zeros can often be found from asymptotic or other approximations to , or by application of the phase principle or Rouché’s theorem; see §1.10(iv).
…
…
►
3.8.15
…
►Consider and .
We have and .
…
13: 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.
…
►
Monotonicity theorems and inequalities for the complete elliptic integrals.
J. Comput. Appl. Math. 172 (2), pp. 289–312.
…
►
Umbral calculus, Bailey chains, and pentagonal number theorems.
J. Combin. Theory Ser. A 91 (1-2), pp. 464–475.
…
►
Theorems on generalized Dedekind sums.
Pacific J. Math. 2 (1), pp. 1–9.
…
►
A Centennial History of the Prime Number Theorem.
In Number Theory,
Trends Math., pp. 1–14.
…
14: 19.35 Other Applications
…
►
§19.35(i) Mathematical
►Generalizations of elliptic integrals appear in analysis of modular theorems of Ramanujan (Anderson et al. (2000)); analysis of Selberg integrals (Van Diejen and Spiridonov (2001)); use of Legendre’s relation (19.7.1) to compute to high precision (Borwein and Borwein (1987, p. 26)). …15: Bibliography R
…
►
Normal limit theorems for symmetric random matrices.
Probab. Theory Related Fields 112 (3), pp. 411–423.
…
►
On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
…
►
13 Lectures on Fermat’s Last Theorem.
Springer-Verlag, New York.
…
►
Dawson’s integral and the sampling theorem.
Computers in Physics 3 (2), pp. 85–87.
…
16: 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.
…
►
A general addition theorem for spheroidal wave functions.
SIAM J. Math. Anal. 4 (1), pp. 149–160.
…
►
Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation. I.
Inverse Problems 20 (4), pp. 1165–1206.
…
►
A new proof of a Paley-Wiener type theorem for the Jacobi transform.
Ark. Mat. 13, pp. 145–159.
…
17: 8 Incomplete Gamma and Related
Functions
…
18: 28 Mathieu Functions and Hill’s Equation
…
19: Bibliography D
…
►
Note on the addition theorem of parabolic cylinder functions.
J. Indian Math. Soc. (N. S.) 4, pp. 29–30.
…
►
Ramanujan’s master theorem for symmetric cones.
Pacific J. Math. 175 (2), pp. 447–490.
…
►
Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
…
►
On Vandermonde’s theorem, and some more general expansions.
Proc. Edinburgh Math. Soc. 25, pp. 114–132.
…
►
Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
…
20: Bibliography C
…
►
The Staudt-Clausen theorem.
Math. Mag. 34, pp. 131–146.
…
►
New proof of the addition theorem for Gegenbauer polynomials.
SIAM J. Math. Anal. 2, pp. 347–351.
…
►
Short proofs of three theorems on elliptic integrals.
SIAM J. Math. Anal. 9 (3), pp. 524–528.
…
►
The universal von Staudt theorems.
Trans. Amer. Math. Soc. 315 (2), pp. 591–603.
…
►
Modular Forms and Fermat’s Last Theorem.
Springer-Verlag, New York.
…