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

Applied mathematics letters, ISSN 0893-9659, 2010, Volume 23, Issue 10, pp. 1188 - 1192

In the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk U ≔ { z : z...

Starlike functions | Analytic functions | Inverse functions | Univalent functions | Bi-univalent functions | Koebe function | Coefficient bounds | Taylor–Maclaurin series | Convex functions | Bi-convex functions | Strongly bi-starlike functions | Bi-starlike functions | Taylor-Maclaurin series | MATHEMATICS, APPLIED | COEFFICIENT

Starlike functions | Analytic functions | Inverse functions | Univalent functions | Bi-univalent functions | Koebe function | Coefficient bounds | Taylor–Maclaurin series | Convex functions | Bi-convex functions | Strongly bi-starlike functions | Bi-starlike functions | Taylor-Maclaurin series | MATHEMATICS, APPLIED | COEFFICIENT

Journal Article

2012, Mathematical surveys and monographs, ISBN 9780821890868, Volume no. 184., xi, 171

Book

TURKISH JOURNAL OF MATHEMATICS, ISSN 1300-0098, 2019, Volume 43, Issue 2, pp. 985 - 997

In this paper, we introduce and investigate an analytic function class P-q(lambda, A, B) that we call the class of q-starlike and q-convex functions with...

STARLIKE FUNCTIONS | MATHEMATICS | q-convex function | convex function | q-derivative | q-starlike function | Starlike function

STARLIKE FUNCTIONS | MATHEMATICS | q-convex function | convex function | q-derivative | q-starlike function | Starlike function

Journal Article

Complex analysis and operator theory, ISSN 1661-8254, 2018, Volume 13, Issue 5, pp. 2231 - 2238

In the present paper, we proved the sharp inequality $$|H_{3,1}(f)|\le 1/9$$ | H 3 , 1 ( f ) | ≤ 1 / 9 for analytic functions f with $$a_n:=f^{(n)}(0)/n!,\...

Starlike functions of order 1 / 2 | Operator Theory | 30C45 | Analysis | Mathematics, general | Mathematics | Coefficients | Carathéodory functions | Hankel determinant | Starlike functions of order 1 / 2 | MATHEMATICS | MATHEMATICS, APPLIED | Caratheodory functions | INVERSE | Starlike functions of order 1/2 | Computer science

Starlike functions of order 1 / 2 | Operator Theory | 30C45 | Analysis | Mathematics, general | Mathematics | Coefficients | Carathéodory functions | Hankel determinant | Starlike functions of order 1 / 2 | MATHEMATICS | MATHEMATICS, APPLIED | Caratheodory functions | INVERSE | Starlike functions of order 1/2 | Computer science

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 2018, Volume 291, Issue 10, pp. 1502 - 1513

We obtain sharp estimates for a generalized Zalcman coefficient functional with a complex parameter for the Hurwitz class and the Noshiro–Warschawski class of...

Hayman index | 30C45 | 30C50 | convex functions | starlike functions | Noshiro–Warschawski class | univalent functions | Zalcman functional | Hurwitz class | Noshiro-Warschawski class starlike functions | PROOF | CONJECTURE | MATHEMATICS | TO-CONVEX FUNCTIONS | STARLIKE | UNIVALENT-FUNCTIONS | COEFFICIENTS | Mathematics - Complex Variables

Hayman index | 30C45 | 30C50 | convex functions | starlike functions | Noshiro–Warschawski class | univalent functions | Zalcman functional | Hurwitz class | Noshiro-Warschawski class starlike functions | PROOF | CONJECTURE | MATHEMATICS | TO-CONVEX FUNCTIONS | STARLIKE | UNIVALENT-FUNCTIONS | COEFFICIENTS | Mathematics - Complex Variables

Journal Article

数学学报：英文版, ISSN 1439-8516, 2017, Volume 33, Issue 2, pp. 287 - 300

In this paper, we obtain the estimates of all homogeneous expansions for a subclass of bi- holomorphic mappings which have parametric representation on the...

starlike mapping | quasi-convex mapping | quasi-convex mapping of type A | starlike mapping of order α | Mathematics, general | 32A30 | Mathematics | Estimate of homogeneous expansion | 32H02 | parametric representation | MATHEMATICS, APPLIED | UNIT POLYDISK | C-N | ORDER ALPHA | STARLIKE MAPPINGS | QUASI-CONVEX MAPPINGS | MATHEMATICS | starlike mapping of order alpha | THEOREMS | GROWTH | Studies | Mathematical analysis | Banach spaces | Mapping | Complex variables | Representations | Banach space | Estimates

starlike mapping | quasi-convex mapping | quasi-convex mapping of type A | starlike mapping of order α | Mathematics, general | 32A30 | Mathematics | Estimate of homogeneous expansion | 32H02 | parametric representation | MATHEMATICS, APPLIED | UNIT POLYDISK | C-N | ORDER ALPHA | STARLIKE MAPPINGS | QUASI-CONVEX MAPPINGS | MATHEMATICS | starlike mapping of order alpha | THEOREMS | GROWTH | Studies | Mathematical analysis | Banach spaces | Mapping | Complex variables | Representations | Banach space | Estimates

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 11/2015, Volume 271, pp. 301 - 307

In the present investigation the authors obtain upper bounds for the second Hankel determinant H2(2) of the classes bi-starlike and bi-convex functions of...

Bi-convex functions of order β | Bi-starlike functions of order β | Second Hankel determinant | Bi-univalent functions | COEFFICIENT BOUNDS | MATHEMATICS, APPLIED | GENERAL SUBCLASS | UNIVALENT | Bi-starlike functions of order beta | Seamd Hankel determinant | Bi-convex functions of order beta

Bi-convex functions of order β | Bi-starlike functions of order β | Second Hankel determinant | Bi-univalent functions | COEFFICIENT BOUNDS | MATHEMATICS, APPLIED | GENERAL SUBCLASS | UNIVALENT | Bi-starlike functions of order beta | Seamd Hankel determinant | Bi-convex functions of order beta

Journal Article

MATHEMATICAL INEQUALITIES & APPLICATIONS, ISSN 1331-4343, 01/2019, Volume 22, Issue 1, pp. 227 - 247

The notion of Cesaro stable function is generalized by introducing Cesaro mean of type (b - 1;c) which give rise to a new concept of generalized Cesaro stable...

MATHEMATICS | Trigonometric sums | Cesaro means | close-to-convex functions | THEOREM | starlike functions | STARLIKE | EXTENSION

MATHEMATICS | Trigonometric sums | Cesaro means | close-to-convex functions | THEOREM | starlike functions | STARLIKE | EXTENSION

Journal Article

Symmetry (Basel), ISSN 2073-8994, 2019, Volume 11, Issue 6, p. 764

In the present research paper, our aim is to introduce a new subfamily of meromorphic p-valent (multivalent) functions. Moreover, we investigate sufficiency...

Subordination | Meromorphic multivalent starlike functions | STARLIKE FUNCTIONS | meromorphic multivalent starlike functions | MULTIDISCIPLINARY SCIENCES | subordination

Subordination | Meromorphic multivalent starlike functions | STARLIKE FUNCTIONS | meromorphic multivalent starlike functions | MULTIDISCIPLINARY SCIENCES | subordination

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

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2017, Volume 450, Issue 1, pp. 592 - 605

For functions f(z)=z+a2z2+a3z3+⋯ in various subclasses of normalized analytic functions, we consider the problem of estimating the generalized Zalcman...

Coefficient functional | Starlike functions | Coefficient bounds | Convex functions | Univalent functions | Closed convex hull | MATHEMATICS, APPLIED | EXTREME-POINTS | CONVEX-FUNCTIONS | MATHEMATICS | TYPICALLY REAL FUNCTIONS | STARLIKE | FAMILIES | UNIVALENT-FUNCTIONS | HULLS

Coefficient functional | Starlike functions | Coefficient bounds | Convex functions | Univalent functions | Closed convex hull | MATHEMATICS, APPLIED | EXTREME-POINTS | CONVEX-FUNCTIONS | MATHEMATICS | TYPICALLY REAL FUNCTIONS | STARLIKE | FAMILIES | UNIVALENT-FUNCTIONS | HULLS

Journal Article

Acta Universitatis Sapientiae, Mathematica, ISSN 1844-6094, 12/2017, Volume 9, Issue 2, pp. 283 - 290

In this paper we give the best form of a strongly starlikeness condition. Some consequences of this result are deduced. The basic tool of the research is the...

strongly starlike functions | 11A25 | starlike functions | subordination | Subordination | Starlike functions | Strongly starlike functions

strongly starlike functions | 11A25 | starlike functions | subordination | Subordination | Starlike functions | Strongly starlike functions

Journal Article

Turkish Journal of Mathematics, ISSN 1300-0098, 2016, Volume 40, Issue 3, pp. 679 - 687

We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions. Some interesting applications of the...

Bi-starlike | Bi-Băzilevič | Second Hankel determinant | Bi-univalent functions | MATHEMATICS | COEFFICIENT BOUNDS | bi-starlike | SUBCLASSES | STARLIKE | bi-Bazilevic | second Hankel determinant | CONVEX FUNCTIONS

Bi-starlike | Bi-Băzilevič | Second Hankel determinant | Bi-univalent functions | MATHEMATICS | COEFFICIENT BOUNDS | bi-starlike | SUBCLASSES | STARLIKE | bi-Bazilevic | second Hankel determinant | CONVEX FUNCTIONS

Journal Article

Symmetry (Basel), ISSN 2073-8994, 2019, Volume 11, Issue 3, p. 347

The main purpose of this article is to find the upper bound of the third Hankel determinant for a family of q-starlike functions which are associated with the...

analytic functions | q-starlike functions | starlike functions | MULTIDISCIPLINARY SCIENCES | UNIVALENT | Hadamard product | INVERSE | q-derivative (or q-difference) operator | Hankel determinant

analytic functions | q-starlike functions | starlike functions | MULTIDISCIPLINARY SCIENCES | UNIVALENT | Hadamard product | INVERSE | q-derivative (or q-difference) operator | Hankel determinant

Journal Article

Filomat, ISSN 0354-5180, 1/2015, Volume 29, Issue 6, pp. 1259 - 1267

Recently, Srivastava et al. [22] reviewed the study of coefficient problems for bi-univalent functions. Inspired by the pioneering work of Srivastava et al....

Mathematical functions | Analytic functions | Coefficients | College mathematics | Starlike and convex functions | Bi-starlike and bi-convex functions | Univalent functions | Bi-univalent functions | MATHEMATICS | MATHEMATICS, APPLIED | SUBCLASSES | STARLIKE | univalent functions | bi-starlike and bi-convex functions | starlike and convex functions | bi-univalent functions

Mathematical functions | Analytic functions | Coefficients | College mathematics | Starlike and convex functions | Bi-starlike and bi-convex functions | Univalent functions | Bi-univalent functions | MATHEMATICS | MATHEMATICS, APPLIED | SUBCLASSES | STARLIKE | univalent functions | bi-starlike and bi-convex functions | starlike and convex functions | bi-univalent functions

Journal Article

17.
Full Text
Second hankel determinat for certain analytic functions satisfying subordinate condition

Mathematica Slovaca, ISSN 0139-9918, 04/2018, Volume 68, Issue 2, pp. 463 - 471

In this paper, we introduce and investigate the following subclass of analytic functions, is an analytic function with positive real part in the unit disk 𝔻,...

analytic functions | Ma-Minda starlike functions | Secondary 30C80 | starlike functions | convex functions | Ma-Minda convex functions | second Hankel determinant | Primary 30C45 | subordination | Subordination | Starlike functions | Analytic functions | Second Hankel determinant | Convex functions | MATHEMATICS | SUBCLASSES | STARLIKE | COMPLEX-ORDER | FEKETE-SZEGO PROBLEM

analytic functions | Ma-Minda starlike functions | Secondary 30C80 | starlike functions | convex functions | Ma-Minda convex functions | second Hankel determinant | Primary 30C45 | subordination | Subordination | Starlike functions | Analytic functions | Second Hankel determinant | Convex functions | MATHEMATICS | SUBCLASSES | STARLIKE | COMPLEX-ORDER | FEKETE-SZEGO PROBLEM

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2010, Volume 51, Issue 5, pp. 601 - 605

In this paper, we obtain the order of convexity of new general integral operators of p -valent functions on some classes of k -uniformly p -valent starlike and...

Integral operator | Uniformly starlike and convex functions | [formula omitted]-valently starlike and [formula omitted]-valently convex functions | Analytic functions | p-valently starlike and p-valently convex functions | STARLIKE FUNCTIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Integral operator | Uniformly starlike and convex functions | [formula omitted]-valently starlike and [formula omitted]-valently convex functions | Analytic functions | p-valently starlike and p-valently convex functions | STARLIKE FUNCTIONS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal Article

MISKOLC MATHEMATICAL NOTES, ISSN 1787-2405, 2018, Volume 19, Issue 1, pp. 431 - 437

We consider the class SS*(alpha,beta) of analytic functions which satisfy the condition -pi beta/2 < arg {zf'(z)/f(z)} < pi alpha/2 for all z in the unit disc...

MATHEMATICS | strongly starlike functions | convex functions | starlike functions | convex of order alpha | starlike of order alpha | CONVEX-FUNCTIONS | subordination

MATHEMATICS | strongly starlike functions | convex functions | starlike functions | convex of order alpha | starlike of order alpha | CONVEX-FUNCTIONS | subordination

Journal Article

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, ISSN 0304-9914, 2018, Volume 55, Issue 1, pp. 175 - 184

We give several sharp estimates for some initial coefficients problems for the so-called gamma starlike functions f, analytic and univalent in the unit disk D...

starlike | MATHEMATICS | univalent | ALPHA-CONVEX FUNCTIONS | MATHEMATICS, APPLIED | gamma-starlike | convex | coefficients

starlike | MATHEMATICS | univalent | ALPHA-CONVEX FUNCTIONS | MATHEMATICS, APPLIED | gamma-starlike | convex | coefficients

Journal Article

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