rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Differential Subordination's
    sub title: Theory and Applications
  title info:
    title: MATHnetBASE
  name:
    name part: Miller, Sanford S.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Mocanu, Petru T.
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: xx
    date issued: 2000
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: ""Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first time in one volume the basic theory and multitude of applications in the study of differential subordination's.""--Provided by publisher.
  table of contents: chapter 1 PRELIMINARIES -- 1.1. A Short History -- chapter r(c) ta-1(t)c-a-1 -- ~ r(a + r(b + -- chapter 2 THEORY OF SECOND-ORDER DIFFERENTIAL SUBORDINATIONS -- 2.1. Introduction -- chapter + anzn + ··· be analytic in U with -- chapter q'(, -- chapter + anzn + · · · -- If not u au -- chapter dU that p(zo) -- lzl < lzlp(z =I = M, -- chapter 2 3. Admissible Functions and Fundamental Theorems -- chapter If p .JI[a, and 'lf(p(z), zp'(z), z -- chapter = e I -- n, = z U and -- chapter 2 4. Examples -- J 1}, by using (2.2-7) and (2.2-8) the condition of admissibility z and n -- chapter +vi; z)] = a+ -- = Re[pi+a(z)·afpi] = -- chapter l 'lf(pi,a,JL+vi;z)l;;?: 1, -n[ 1 + p ]/2, -- I + Szp'(z)- -- chapter fi[O, 1], then I zp -- z in a )] ), ]/2. The second condition in (2.4-7) implies that If p 1 , n] -- chapter 2 5. The Open Door Lemma and the Integral Existence Theorem -- ] -- chapter f(z) -- = 2enz/(1- = 2e If 0, = b + = + = 0, lim =. This leads to and lim -- chapter I I < + 2cfn = en -- chapter + 8), n]. By differentiating (2.5-18) we -- = a.+ = -- chapter .A, then the following sharp implications hold: -- = ( ( ) '( -- chapter 3 APPLICATIONS OF FIRST-ORDER DIFFERENTIAL SUBORDINATIONS -- 3.1. First-Order Linear Differential Subordinations -- chapter of Theorem 2.3d. We only need to show that -- I arg [m·P(z)] I < 2· -- chapter Proof. 'V(r,s) -- = + sfy, = + ( ml n 1, we conclude that -- chapter if y 1, then this theorem reduces to Robinson's differential sub- -- z ]II ]a and q(z) 1-z 1-z -- chapter If p(z0, then ±1. If we let ri -- chapter = = = .A and -- = + y] I [ zH'( -- chapter If we apply this last theorem to the special relationship between the integral = f] -- of Theorem 3.2j, with f] .A = zK' -- chapter 3 3. Briot-Bouquet Applications in Univalent -- _1 I / J[ J -- chapter z)t- -- chapter = + = + Bz' -- -1/2 and If of Lis the Libera integral operator defined by -- chapter = [f], f *. These functions F and -- f satisfy Bz)[l- -- chapter fort 0, and lim aI -- z and …
  note: Sanford S. Miller, Petru T. Mocanu.
  subject:
    topic: Numerical analysis
  subject:
    topic: Computational Numerical Analysis
  classification: QA295 .M555 2000
  classification: 515.36
  related item:
    title info:
      title: Chapman & Hall/CRC Pure and Applied Mathematics
  related item:
    identifier: (DLC) 99048720
  identifier: 9780429183126
  identifier: 9780824700294
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: FlBoTFG
    record creation date: 180706
    record change date: 20220613175855.2
    record identifier: in00004581367