A unified class of k-uniformly convex functions defined by the Dziok–Srivastava linear operator

Ramachandran, C.; Shanmugam, T. N.; Srivástava, H. M.; Swaminathan, A.

doi:10.1016/j.amc.2007.02.042

Cited by 20 publications

(6 citation statements)

References 7 publications

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“…and this class is symbolized as . Rønning [16] and Ramachandran et al [13,14] were introduced the following class of starlike functions analogous to as follows: Definition 1.4 A function ∈ is termed as uniformly starlike in iff…”

Section: Definition 13 [5] a Functionmentioning

confidence: 99%

Certain Properties of Komatu Integral Transform with Negative Coefficients with Reference to Uniform Starlike and Uniform Convex Functions

Prabhu*,

Bhaskaran,

Vanitha

et al. 2019

IJEAT

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The authors obtained a new subclass about strongly starlike and strongly convex functions with respect to Komatu integral transforms and the inclusion properties of these classes such as 𝓢𝒑𝑻(𝝀, 𝑰𝝂 𝝆 ) and 𝓤𝓒𝓥𝓣(𝝀, 𝑰𝝂 𝝆 ) were discussed . Furthermore, a new subclass about uniformly starlike functions along uniformly convex functions including negative coefficients defined by the Komatu integral transforms are introduced. The various properties about these classes are obtained here including (for instance) coefficient estimates, extreme points, distortion and covering theorems. Mathematics Subject Classification: Primary 30C45

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Section: Definition 13 [5] a Functionmentioning

confidence: 99%

Certain Properties of Komatu Integral Transform with Negative Coefficients with Reference to Uniform Starlike and Uniform Convex Functions

Prabhu*,

Bhaskaran,

Vanitha

et al. 2019

IJEAT

View full text Add to dashboard Cite

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“…Let A denote the class of functions of the form: Sȃlȃgean [10] introduced the following operator that is popularly known as the Sȃlȃgean derivative operator (see also [9]): (z) and D 1 f (z) = Df (z) = zf (z) and, in general, For the Sȃlȃgean derivative operator D n , we easily find from Equation (1) that…”

Section: Introductionmentioning

confidence: 99%

A certain convolution approach for subclasses of analytic functions with negative coefficients

Srivástava

Eker

Şeker

2009

Integral Transforms and Special Functions

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Making use of the familiar convolution structure of analytic functions, in this study we introduce and investigate a new subclass of analytic functions, whose Taylor-Maclaurin coefficients from the second term onwards are all negative. We derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the general class, which we have introduced and studied in this article.

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“…The classes k-S T and k-U C V are defined as follows (see, for details, [2,3,4,11,13,19]). Definition 1.1.…”

Section: Introduction and Definitionsmentioning

confidence: 99%

Some applications of higher-order derivatives involving certain subclass of analytic and multivalent functions

2018

J. Nonlinear Var. Anal.

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In this paper, we introduce and study a new class of analytic and multivalent (p-valent) functions involving higherorder derivatives. For this multivalent function class, we derive several interesting properties including coefficient inequalities, distortion theorems and extreme points. Several applications involving an integral operator are also considered. Finally, we obtain some results for the modified Hadamard product of functions belonging to the multivalent function class introduced in this paper. Relevant connections of the results presented in this paper with those in a number of other related works on this subject are also pointed out.

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A unified class of k-uniformly convex functions defined by the Dziok–Srivastava linear operator

Cited by 20 publications

References 7 publications

Certain Properties of Komatu Integral Transform with Negative Coefficients with Reference to Uniform Starlike and Uniform Convex Functions

Certain Properties of Komatu Integral Transform with Negative Coefficients with Reference to Uniform Starlike and Uniform Convex Functions

A certain convolution approach for subclasses of analytic functions with negative coefficients

Some applications of higher-order derivatives involving certain subclass of analytic and multivalent functions

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