11—20 of 43 matching pages
11: Bibliography H
Ordinary Differential Equations in the Complex Domain.
Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York.
Development of a Gaussian hypergeometric function code in complex domains.
Internat. J. Modern Phys. C 4 (4), pp. 805–840.
Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains.
Translations of Mathematical Monographs, Vol. 6, American Mathematical Society, Providence, RI.
… ►where , , and are analytic functions in a domain . … ►Assume that we wish to integrate (3.7.1) along a finite path from to in a domain . The path is partitioned at points labeled successively , with , . …
… ►The domain of analyticity of is usually an infinite strip parallel to the imaginary axis. … ►
Table 2.5.1: Domains of convergence for Mellin transforms.
… ►Next from Table 2.5.1 we observe that the integrals for the transform pair and are absolutely convergent in the domain specified in Table 2.5.2, and these domains are nonempty as a consequence of (2.5.19) and (2.5.20). ► ►From Table 2.5.2, we see that each is analytic in the domain . …
|Transform||Domain of Convergence|
… ►The eye-shaped closed domain in the uncut -plane that is bounded by and is denoted by ; see Figure 10.20.3. … ► …
… ►The associate editors are eminent domain experts who were recruited to advise the project on strategy, execution, subject content, format, and presentation, and to help identify and recruit suitable candidate authors and validators. …
16: 13.9 Zeros
… ►Let denote the closure of the domain that is bounded by the parabola and contains the origin. …
17: Bibliography J
On the computation of incomplete gamma functions in the complex domain.
J. Comput. Appl. Math. 12/13, pp. 401–417.
18: Bibliography N
The Boutroux ansatz for the second Painlevé equation in the complex domain.
Izv. Akad. Nauk SSSR Ser. Mat. 54 (6), pp. 1229–1251 (Russian).
19: Bibliography R
Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications.
Contemporary Mathematics, Vol. 138, American Mathematical Society, Providence, RI.
20: Bibliography K
Connection formulae for the first Painlevé transcendent in the complex domain.
Lett. Math. Phys. 27 (4), pp. 243–252.
Calculation of modified Bessel functions in a complex domain.
Zh. Vychisl. Mat. i Mat. Fiz. 24 (5), pp. 650–664.
Askey-Wilson Polynomials for Root Systems of Type
In Hypergeometric Functions on Domains of Positivity, Jack
Polynomials, and Applications (Tampa, FL, 1991),
Contemp. Math., Vol. 138, pp. 189–204.