Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Kent Pearce"'
Publikováno v:
Mathematische Nachrichten. 285:2042-2058
We consider the complex plane as a space filled by two different media, separated by the real axis . We define to be the upper half-plane. For a planar body E in , we discuss a problem of estimating characteristics of the “invisible” part, , from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a959bcadbe856f0a5a035888dbd54e2
https://doi.org/10.1002/mana.200710056
https://doi.org/10.1002/mana.200710056
Autor:
Roger Barnard, Kent Pearce
Publikováno v:
Complex Variables and Elliptic Equations. 54:103-117
In the early 1970s, Campbell published three papers on majorization–subordination results for locally univalent functions. In particular, he showed that if F is linearly invariant of order α and if f is subordinate to F on {z ≔ |z| α ≥ 1. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73a141fb898f2515819dc27c20f1d53d
https://doi.org/10.1080/17476930802669686
https://doi.org/10.1080/17476930802669686
Publikováno v:
Proceedings of the London Mathematical Society. 93:395-417
We complete the determination of how far convex maps can deform discs in each of the three classical geometries. The euclidean case was settled by Nehari in 1976, and the spherical case by Mejía and Pommerenke in 2000. We find the sharp bound on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5040297a72fb48725982b756d47122f4
https://doi.org/10.1112/s0024611506015917
https://doi.org/10.1112/s0024611506015917
Publikováno v:
Complex Variables and Elliptic Equations. 51:313-327
In this article we recall our variational method, based on Julia's formula for the Hadamard variation, for hyperbolically convex polygons. We use this variational method to prove a general theorem for solving extremal problems for hyperbolically conv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4baea568b477c48379d3bd8a38a285fe
https://doi.org/10.1080/17476930500532624
https://doi.org/10.1080/17476930500532624
Publikováno v:
Computational Methods and Function Theory. 4:97-109
In this paper we apply a variational method to three extremal problems for hyperbolically convex functions posed by Ma and Minda and Pommerenke [6, 14]. We first consider the problem of extremizing Re f(z)/z. We determine the minimal value and give a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d60877a5f5644e3bfe858524c4a26aff
https://doi.org/10.1007/bf03321058
https://doi.org/10.1007/bf03321058
Publikováno v:
Pacific Journal of Mathematics. 212:13-24
For a planar convex compact set E, we describe the mutual range of its area, width, and logarithmic capacity. This result will follow froma m ore general theoremdescribing the mutual range of area, logarithmic capacity, and length of orthogonal proje
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e89c3fa7350977c6cbbc5324be8af0c
https://doi.org/10.2140/pjm.2003.212.13
https://doi.org/10.2140/pjm.2003.212.13
Publikováno v:
Complex Variables, Theory and Application: An International Journal. 45:327-348
Let D denote the open unit disk and let be analytic on D with positive monotone decreasing coefficients f n. We answer several questions posed by J. Cima on the location of the zeros of polynomial approximates which he originally posed about outer fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4d9765353d7068123bf2e4c8656aaf3
https://doi.org/10.1080/17476930108815386
https://doi.org/10.1080/17476930108815386
Publikováno v:
SIAM Journal on Mathematical Analysis. 32:403-419
Conditions are determined under which $ \,_{3}F_{2}\left(-n,a,b;a+b+2,\varepsilon -n+1;1\right)$ is a monotone function of n satisfying $a b\cdot\,_{3}F_{2}\left(-n,a,b;a+b+2,\varepsilon -n+1;1\right) \geq a b\cdot\,_{2}F_{1}\left(a,b;a+b+2;1\right).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20b8faaa42c25e9f0043c0c934ca110f
https://doi.org/10.1137/s003614109935050x
https://doi.org/10.1137/s003614109935050x
Publikováno v:
SIAM Journal on Mathematical Analysis. 31:693-699
In this paper we verify a conjecture of M. Vuorinen that the Muir approximation is a lower approximation to the arc length of an ellipse. Vuorinen conjectured that $f(x)={}_{2}F_{1}({\frac{1}{2}},-{\frac{1}{2}};1;x)-[(1+(1-x)^{3/4})/2]^{2/3}$ is posi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::722dc9e9b74a751d802050d29c6dcada
https://doi.org/10.1137/s0036141098341575
https://doi.org/10.1137/s0036141098341575
Publikováno v:
Journal of Approximation Theory. 94(1):128-143
Let {φk}nk=0,n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17aa23b9f564b52b601042afe6476db8