#### Filter Results:

- Full text PDF available (10)

#### Publication Year

2007

2017

- This year (1)
- Last 5 years (1)
- Last 10 years (9)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- James A. Jenkins
- 2010

1. In addition to the study devoted to the general class of normalized regular univalent functions in the unit circle considerable attention has been given to certain subclasses of these functions such as starlike functions, convex functions, and others. In view of the important role played by symmetrization methods in recent work it seems worth while to… (More)

- SLIT DOMAINS, James A. Jenkins
- 2010

1. In a recent paper [2] Reich has made the observation that an example of Koebe given in 1918 [l] does not fulfill its asserted purpose. This example was to show that vanishing measure of the complement did not assure that a slit domain was minimal. Reich proceeded to fill the gap by carrying out the following somewhat more general construction. Let A be a… (More)

form expressions for the polynomials for the triangle, for example, are believed not to have been known previously. Certain properties of the polynomials of an orthogonal system for which expressions in closed form exist can be derived easily. This, in fact, motivates the search for them. For instance, for all the systems obtained above the generating… (More)

Teichmüller was the first person to point out explicitly the connection between quadratic differentials and the solutions of certain extremal problems in Function Theory. He enunciated the principle that if a point is required to be fixed the quadratic differential will have a simple pole there, if in addition fixed values are required for the first n… (More)

- James A. Jenkins
- 2010

1. Teichmuller was the first to bring out the important role played by quadratic differentials in extremal problems in the theory of functions. He indicated [3] the behavior in the small of certain important curves associated with them. It remained for Schaeffer and Spencer [2, Chap. Ill] to carry out this study in full detail. While they speak explicitly… (More)

- Melkana A. Brakalova, James A. Jenkins

We study the boundary correspondence under sense-preserving homeomorphic self-mapping of the upper half-plane. Under assumptions that involve integrals of the complex dilatation we prove that the natural extension of the mapping is conformal at every point on the boundary. If the integrals involving the complex dilatation are locally uniformly convergent we… (More)

In a great many cases the methods used in the proofs of the above theorems can be used to determine whether a given continuum is a Wn set. In particular, they can be used to prove that no W-¡ set, M, has a complementary domain whose boundary, /, contains three limit points of B(M) — J, no Wi set has a complementary domain whose boundary contains five such… (More)

Let F„ denote the wth coefficient region for this class of functions [S, §1.2]. Let F=Fia2, ä2, ■ • ■ , a„, a«) be a real-valued function. Write x,= (l/2)(a,+á,), y,= (l/2í)(a,-á,), F,= (l/2)(r3F/r)x, — idF/dy,). Let F satisfy the further conditions (a) F is defined in an open set O containing V„, (b) F and its derivatives F, are continuous in 0, (c) |grad… (More)

1. The present note contains several remarks on an earlier paper by the author [2].1 In Chapter IV, §4, which deals with the question of when we can have equality of modules for a triply-connected domain and a proper subdomain, the last sentence was added in proof. This accounts for the apparent disparity between it and the preceding one. In order to… (More)

- Lois Wonsun Choi-Kain, Ellen F. Finch, Sara R. Masland, James A. Jenkins, Brandon T. Unruh
- Current behavioral neuroscience reports
- 2017

PURPOSE OF THE REVIEW
This review summarizes advances in treatments for adults with borderline personality disorder (BPD) in the last 5 years.
RECENT FINDINGS
Evidence-based advances in the treatment of BPD include a delineation of generalist models of care in contrast to specialist treatments, identification of essential effective elements of dialectical… (More)

- ‹
- 1
- ›