Results in Mathematics, ISSN 1422-6383, 9/2017, Volume 72, Issue 1, pp. 343 - 357

Let $$\mathcal {S}_\alpha ^*$$ S α ∗ be the familiar class of strongly starlike functions of order $$\alpha $$ α in the unit disk. In this paper, first, we...

Mathematics, general | Mathematics | Primary 32H02 | Secondary 30C45 | strongly starlike mappings of order $$\alpha $$ α | Fekete–Szegö inequality | sharp coefficient bound | strongly starlike mappings of order α | MATHEMATICS | COEFFICIENT BOUNDS | MATHEMATICS, APPLIED | Fekete-Szego inequality | GROWTH THEOREMS | strongly starlike mappings of order alpha | PARAMETRIC REPRESENTATION | COMPLEX-VARIABLES | HOLOMORPHIC MAPPINGS | QUASI-CONVEX MAPPINGS

Mathematics, general | Mathematics | Primary 32H02 | Secondary 30C45 | strongly starlike mappings of order $$\alpha $$ α | Fekete–Szegö inequality | sharp coefficient bound | strongly starlike mappings of order α | MATHEMATICS | COEFFICIENT BOUNDS | MATHEMATICS, APPLIED | Fekete-Szego inequality | GROWTH THEOREMS | strongly starlike mappings of order alpha | PARAMETRIC REPRESENTATION | COMPLEX-VARIABLES | HOLOMORPHIC MAPPINGS | QUASI-CONVEX MAPPINGS

Journal Article

Results in Mathematics, ISSN 1422-6383, 06/2018, Volume 73, Issue 2

Let SS alpha* be the familiar class of strongly starlike functions of order a in the unit disk. Xu et al. (Results Math 72: 343-357, 2017) proved that for a...

strongly starlike mappings of order α | Fekete–Szegö problem | sharp coefficient bound | MATHEMATICS | MATHEMATICS, APPLIED | Fekete-Szego problem | GROWTH THEOREMS | BOUNDS | SZEGO PROBLEM | FEKETE | strongly starlike mappings of order alpha | PARAMETRIC REPRESENTATION | HOLOMORPHIC MAPPINGS

strongly starlike mappings of order α | Fekete–Szegö problem | sharp coefficient bound | MATHEMATICS | MATHEMATICS, APPLIED | Fekete-Szego problem | GROWTH THEOREMS | BOUNDS | SZEGO PROBLEM | FEKETE | strongly starlike mappings of order alpha | PARAMETRIC REPRESENTATION | HOLOMORPHIC MAPPINGS

Journal Article

The Rocky Mountain Journal of Mathematics, ISSN 0035-7596, 1/2011, Volume 41, Issue 6, pp. 2069 - 2086

Let X be a complex Banach space with norm ∥·∥, the unit ball in X. In this paper, we introduce a class of holomorphic mappings ℳg on B. Let f(x) be a...

Unit ball | Mathematical theorems | Mathematical growth | Analytic functions | Complex variables | Mathematical functions | Coefficients | Banach space | Strongly starlike mapping of order α | Almost starlike mapping of order α | Starlike mapping | Strongly starlike mapping | Coefficient estimation | Starlike mapping of order α | starlike mapping | MATHEMATICS | starlike mapping of order alpha | strongly starlike mapping of order alpha | almost starlike mapping of order alpha | GROWTH | STARLIKE MAPPINGS | strongly starlike mapping | DOMAINS | strongly starlike mapping of order \alpha | almost starlike mapping of order xrga | starlike mapping of order \alpha

Unit ball | Mathematical theorems | Mathematical growth | Analytic functions | Complex variables | Mathematical functions | Coefficients | Banach space | Strongly starlike mapping of order α | Almost starlike mapping of order α | Starlike mapping | Strongly starlike mapping | Coefficient estimation | Starlike mapping of order α | starlike mapping | MATHEMATICS | starlike mapping of order alpha | strongly starlike mapping of order alpha | almost starlike mapping of order alpha | GROWTH | STARLIKE MAPPINGS | strongly starlike mapping | DOMAINS | strongly starlike mapping of order \alpha | almost starlike mapping of order xrga | starlike mapping of order \alpha

Journal Article

数学物理学报：B辑英文版, ISSN 0252-9602, 2014, Volume 34, Issue 6, pp. 1761 - 1774

Let pj ∈ N and pj≥ 1, j = 2, …, k, k ≥ 2 be a fixed positive integer. We introduce a Roper-Suffridge extension operator on the following Reinhardt domain ΩN...

正整数 | 多项式 | 算子 | Z1 | 秩序 | Reinhardt域 | 全纯函数 | 新泽西州 | strongly starlike mapping of order α | almost starlike of order α | starlike mapping of order α | Roper-Suffridge operator | Reinhardt domain | 32A10 | MATHEMATICS | BALL | starlike mapping of order alpha | C-N | THEOREM | strongly starlike mapping of order alpha | almost starlike of order alpha | CONVEX MAPPINGS

正整数 | 多项式 | 算子 | Z1 | 秩序 | Reinhardt域 | 全纯函数 | 新泽西州 | strongly starlike mapping of order α | almost starlike of order α | starlike mapping of order α | Roper-Suffridge operator | Reinhardt domain | 32A10 | MATHEMATICS | BALL | starlike mapping of order alpha | C-N | THEOREM | strongly starlike mapping of order alpha | almost starlike of order alpha | CONVEX MAPPINGS

Journal Article

Results in Mathematics, ISSN 1422-6383, 6/2018, Volume 73, Issue 2, pp. 1 - 16

Let $$\mathcal {SS}_\alpha ^*$$ SSα∗ be the familiar class of strongly starlike functions of order $$\alpha $$ α in the unit disk. Xu et al. (Results Math...

Mathematics, general | Fekete–Szegö problem | Mathematics | Primary 32H02 | Secondary 30C45 | strongly starlike mappings of order $$\alpha $$ α | sharp coefficient bound

Mathematics, general | Fekete–Szegö problem | Mathematics | Primary 32H02 | Secondary 30C45 | strongly starlike mappings of order $$\alpha $$ α | sharp coefficient bound

Journal Article

Acta Mathematica Scientia, ISSN 0252-9602, 11/2014, Volume 34, Issue 6, pp. 1761 - 1774

Let ∈and ≥1,j=2,.kk≥ 2, be a fixed positive integer. We introduce a Roper-Suffridge extension operator on the following Reinhardt domainΩN={z=(z1,z'2,. ....

Strongly starlike mapping of order α | Roper-Suffridge operator | Reinhardt domain | Starlike mapping of order α | Almost starlike of order α

Strongly starlike mapping of order α | Roper-Suffridge operator | Reinhardt domain | Starlike mapping of order α | Almost starlike of order α

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 12/2013, Volume 408, Issue 2, pp. 547 - 560

In this paper some characterizations and properties of domains in with boundary accessible externally by some circular cones are given. It is shown that the...

Biholomorphic mappings in [formula omitted] | Diffeomorphic mappings in [formula omitted] | Cone condition | [formula omitted]-accessible domains | Strongly starlike functions of order [formula omitted] | Biholomorphic mappings in CN | α-accessible domains | Strongly starlike functions of order α | Diffeomorphic mappings in Rn

Biholomorphic mappings in [formula omitted] | Diffeomorphic mappings in [formula omitted] | Cone condition | [formula omitted]-accessible domains | Strongly starlike functions of order [formula omitted] | Biholomorphic mappings in CN | α-accessible domains | Strongly starlike functions of order α | Diffeomorphic mappings in Rn

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 10/2007, Volume 23, Issue 10, pp. 1859 - 1868

M. Fait, J. Krzyz and J. Zygmunt proved that a strongly starlike function of order α on the unit disk can be extended to a k-quasiconformal mapping with k ≤...

strongly starlike function | Schwarzian derivative | 30C62 | quasiconformal extension | Mathematics, general | Mathematics | 30C70 | Teichmüller mapping | Strongly starlike function | Quasiconformal extension | UNIVALENT FUNCTIONS | MATHEMATICS | Teichmuller mapping | MATHEMATICS, APPLIED | QUASICONFORMAL MAPPINGS | Disks | Mapping | Infinity | Planes | Mathematical analysis

strongly starlike function | Schwarzian derivative | 30C62 | quasiconformal extension | Mathematics, general | Mathematics | 30C70 | Teichmüller mapping | Strongly starlike function | Quasiconformal extension | UNIVALENT FUNCTIONS | MATHEMATICS | Teichmuller mapping | MATHEMATICS, APPLIED | QUASICONFORMAL MAPPINGS | Disks | Mapping | Infinity | Planes | Mathematical analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 11

Recently, Takahashi and Nunokawa (Appl. Math. Lett. 16:653-655, 2003) considered the class of analytic functions, which satisfy the condition for all z in the...

starlike of order α | convex of order α | strongly starlike functions | Analysis | convex functions | starlike functions | Mathematics, general | Mathematics | Applications of Mathematics | subordination | Subordination | Starlike functions | Convex functions | Strongly starlike functions | Convex of order α | Starlike of order α | MATHEMATICS | MATHEMATICS, APPLIED | UNIVALENT-FUNCTIONS | convex of order alpha | starlike of order alpha

starlike of order α | convex of order α | strongly starlike functions | Analysis | convex functions | starlike functions | Mathematics, general | Mathematics | Applications of Mathematics | subordination | Subordination | Starlike functions | Convex functions | Strongly starlike functions | Convex of order α | Starlike of order α | MATHEMATICS | MATHEMATICS, APPLIED | UNIVALENT-FUNCTIONS | convex of order alpha | starlike of order alpha

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 06/2003, Volume 254-255, Issue 1, pp. 165 - 171

In this paper, we will give a sufficient condition for locally univalent holomorphic functions on the unit disc . in C to be strongly starlike. Also, we will...

Starlike, starlike of order α | strongly starlike | Starlike of order α | Starlike | Strongly starlike

Starlike, starlike of order α | strongly starlike | Starlike of order α | Starlike | Strongly starlike

Journal Article

12/1998, Volume 33, Issue 2

In this paper we introduce the concept of strongly starlikeness of order α > 0, for holomorphic mappings defined on the unit ball of Cn. We obtain the...

starlike mapping | spirallike mapping | Biholomorphic mapping | strongly starlikeness of order α

starlike mapping | spirallike mapping | Biholomorphic mapping | strongly starlikeness of order α

Paper

Applied Mathematics and Computation, ISSN 0096-3003, 04/2012, Volume 218, Issue 15, pp. 7856 - 7863

In this paper we apply certain results in the theory of univalent functions to investigate the time evolution of the free boundary of a viscous fluid for a...

Hele–Shaw flow | Conformal map | Spirallike function | Strongly Φ-like function | Surface tension | Free boundary problem | Starlike function | Hele-Shaw flow

Hele–Shaw flow | Conformal map | Spirallike function | Strongly Φ-like function | Surface tension | Free boundary problem | Starlike function | Hele-Shaw flow

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 7/2019, Volume 42, Issue 4, pp. 1719 - 1735

In this paper, we found the sharp bound of the fifth coefficient of strongly starlike functions of order $$\alpha $$ α with real coefficients for all $$\alpha...

30C45 | Strongly starlike functions | 30C50 | Schwarz functions | Mathematics, general | Mathematics | Applications of Mathematics | Coefficient estimates | Carathéodory functions | MATHEMATICS | Caratheodory functions | Coefficients

30C45 | Strongly starlike functions | 30C50 | Schwarz functions | Mathematics, general | Mathematics | Applications of Mathematics | Coefficient estimates | Carathéodory functions | MATHEMATICS | Caratheodory functions | Coefficients

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 06/2014, Volume 236, pp. 384 - 390

In this paper we study the time evolution of the free boundary of a viscous fluid for planar flows in Hele–Shaw cells under injection. We discuss the...

Univalent function | Free boundary problem | Strongly starlike function | Starlike function | Hele–Shaw flow | α-Convex function | Hele-Shaw flow | MATHEMATICS, APPLIED | alpha-Convex function | Upper bounds | Mathematical analysis | Evolution | Mathematical models | Complement | Viscous fluids | Invariants | Free boundaries

Univalent function | Free boundary problem | Strongly starlike function | Starlike function | Hele–Shaw flow | α-Convex function | Hele-Shaw flow | MATHEMATICS, APPLIED | alpha-Convex function | Upper bounds | Mathematical analysis | Evolution | Mathematical models | Complement | Viscous fluids | Invariants | Free boundaries

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 1/2015, Volume 38, Issue 1, pp. 365 - 386

Let $$\fancyscript{S}_{e}^*$$ S e ∗ denote the class of analytic functions $$f$$ f in the open unit disk normalized by $$f(0)=f'(0)-1=0$$ f ( 0 ) = f ′ ( 0 ) -...

Subordination | Convex and starlike functions | 30C45 | 30C50 | Growth | Distortion | Mathematics | Coefficient estimates | Exponential function | Strongly starlike | Mathematics, general | Applications of Mathematics | Radius problems | 30C80 | ORDER ALPHA | CONVEXITY | BERNOULLI | ANALYTIC-FUNCTIONS | MATHEMATICS | LEMNISCATE | RADIUS | COEFFICIENT | REGIONS | DIFFERENTIAL SUBORDINATION | UNIVALENCE | Analytic functions | Mathematical analysis | Exponential functions

Subordination | Convex and starlike functions | 30C45 | 30C50 | Growth | Distortion | Mathematics | Coefficient estimates | Exponential function | Strongly starlike | Mathematics, general | Applications of Mathematics | Radius problems | 30C80 | ORDER ALPHA | CONVEXITY | BERNOULLI | ANALYTIC-FUNCTIONS | MATHEMATICS | LEMNISCATE | RADIUS | COEFFICIENT | REGIONS | DIFFERENTIAL SUBORDINATION | UNIVALENCE | Analytic functions | Mathematical analysis | Exponential functions

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 12/2017, Volume 11, Issue 8, pp. 1879 - 1893

We will provide sufficient conditions for the shifted hypergeometric function $$z_2F_1(a,b;c;z)$$ z 2 F 1 ( a , b ; c ; z ) to be a member of a specific...

Subordination | Hypergeometric functions | Operator Theory | Strongly starlike function | Analysis | Spirallike function | Mathematics, general | Mathematics | Primary 30C45 | Secondary 33C05 | MATHEMATICS | STARLIKENESS | ORDER | MATHEMATICS, APPLIED | UNIVALENT-FUNCTIONS

Subordination | Hypergeometric functions | Operator Theory | Strongly starlike function | Analysis | Spirallike function | Mathematics, general | Mathematics | Primary 30C45 | Secondary 33C05 | MATHEMATICS | STARLIKENESS | ORDER | MATHEMATICS, APPLIED | UNIVALENT-FUNCTIONS

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 1/2017, Volume 11, Issue 1, pp. 1 - 19

In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral...

Analytic functions | Meromorphic starlike functions | Secondary 30C50 | Univalent functions | Meromorphic strongly starlike functions | Mathematics | Maximum modulus principle | Primary 30C45 | Starlike functions | Operator Theory | Meromorphic parabolic starlike functions | Analysis | Mathematics, general | Principle of differential subordination | MATHEMATICS | MATHEMATICS, APPLIED | CONVEX | Meromorphic | MULTIVALENT-FUNCTIONS | Medical colleges | Resveratrol

Analytic functions | Meromorphic starlike functions | Secondary 30C50 | Univalent functions | Meromorphic strongly starlike functions | Mathematics | Maximum modulus principle | Primary 30C45 | Starlike functions | Operator Theory | Meromorphic parabolic starlike functions | Analysis | Mathematics, general | Principle of differential subordination | MATHEMATICS | MATHEMATICS, APPLIED | CONVEX | Meromorphic | MULTIVALENT-FUNCTIONS | Medical colleges | Resveratrol

Journal Article

Analysis Mathematica, ISSN 0133-3852, 12/2017, Volume 43, Issue 4, pp. 533 - 545

Conditions are determined on the parameters a and c so that the confluent hypergeometric function Φ(a, c; z) = 1 F 1(a, c; z) is strongly convex of order 1/2...

33C15 | 30C45 | strongly starlike | 33C10 | Analysis | strongly convex | confluent hypergeometric function | Mathematics | generalized Bessel function | subordination | MATHEMATICS | STARLIKENESS | RADIUS | CONVEXITY | UNIVALENCE | 1ST KIND

33C15 | 30C45 | strongly starlike | 33C10 | Analysis | strongly convex | confluent hypergeometric function | Mathematics | generalized Bessel function | subordination | MATHEMATICS | STARLIKENESS | RADIUS | CONVEXITY | UNIVALENCE | 1ST KIND

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 6/2018, Volume 12, Issue 5, pp. 1179 - 1191

Some sufficient conditions are determined for certain first order differential subordinations to imply the corresponding analytic solution is subordinate to a...

Subordination | Starlike and convex function | Operator Theory | 30C45 | Analysis | Sine function | Mathematics, general | Mathematics | Lemniscate of Bernoulli | 30C80 | Exponential function | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | BERNOULLI | MATHEMATICS | LEMNISCATE | RADII | DIFFERENTIAL SUBORDINATION | STRONGLY STARLIKE FUNCTIONS | SUBCLASS

Subordination | Starlike and convex function | Operator Theory | 30C45 | Analysis | Sine function | Mathematics, general | Mathematics | Lemniscate of Bernoulli | 30C80 | Exponential function | MATHEMATICS, APPLIED | SUFFICIENT CONDITIONS | BERNOULLI | MATHEMATICS | LEMNISCATE | RADII | DIFFERENTIAL SUBORDINATION | STRONGLY STARLIKE FUNCTIONS | SUBCLASS

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2018, Volume 112, Issue 1, pp. 271 - 292

By using a new fractional differintegral operator which was studied in a recent work (Mediterr J Math 13:1535–1553 2016), we first introduce various classes of...

Starlike functions | 30C45 | Strongly starlike functions | Analytic functions | Primary 26A33 | Secondary 30C50 | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | Differential subordination | Fractional differintegral operator | MATHEMATICS | SUBCLASSES | CONVEX | STARLIKE | UNIVALENT

Starlike functions | 30C45 | Strongly starlike functions | Analytic functions | Primary 26A33 | Secondary 30C50 | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Applications of Mathematics | Differential subordination | Fractional differintegral operator | MATHEMATICS | SUBCLASSES | CONVEX | STARLIKE | UNIVALENT

Journal Article

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