Application of Quasi-Subordination for Generalized Sakaguchi Type Functions

Altınkaya, Şahsene

doi:10.1155/2017/3780675

Journal of Complex Analysis

2017

DOI: 10.1155/2017/3780675

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Application of Quasi-Subordination for Generalized Sakaguchi Type Functions

Şahsene Altınkaya

Abstract: The author constructs a new class ( , , ) of univalent functions applying the Ruscheweyh derivative. Moreover, the coefficient estimates including a Fekete-Szegö inequality of this class were determined.

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Cited by 2 publications

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“…1),(2.2) and (2.3) can be obtained from (2.6), (2.7) and (2.8) respectively. Corollary 2.2.If ( ) ∈ ( , ), then[10] …”

mentioning

confidence: 98%

Coefficient Inequality for Certain New Subclasses of Sakaguchi Type Function Related to Sigmoid Functions

Keerthi¹,

Raja²

2018

IJET

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The question of the present paper is to get starting coefficients| | |,| |,| |, upper limits of | and second Hankel determinant related with a class of systematic univalent capacity of sakaguchi compose work identified with sigmoid capacity in the open unit plate ∆. Different creators as Abiodum, Tinuoye Oladipo, Murugu sundaramoorthy et. al., and Olatunji have contemplated sigmoid capacity for various classes of systematic and univalent capacities. Our outcomes fills in as a speculation toward this path and it conceives an offspring some current subclasses of capacities.

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“…1),(2.2) and (2.3) can be obtained from (2.6), (2.7) and (2.8) respectively. Corollary 2.2.If ( ) ∈ ( , ), then[10] …”

mentioning

confidence: 98%

Coefficient Inequality for Certain New Subclasses of Sakaguchi Type Function Related to Sigmoid Functions

Keerthi¹,

Raja²

2018

IJET

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Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin

2022

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In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function. Differential operators involving special functions have been very useful in extracting information about the various properties of functions belonging to geometrically defined function classes. Here, we choose the Prabhakar function (or a three parameter Mittag–Leffler function) for our study, since it has several applications in science and engineering problems. To provide our study with more versatility, we define our class by employing a certain pseudo-starlike type analytic characterization quasi-subordinate to a more general function. We provide the conditions to obtain sufficient conditions for meromorphic starlikeness involving quasi-subordination. Our other main results include the solution to the Fekete–Szegő problem and inclusion relationships for functions belonging to the defined function classes. Several consequences of our main results are pointed out.

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Application of Quasi-Subordination for Generalized Sakaguchi Type Functions

Abstract: The author constructs a new class ( , , ) of univalent functions applying the Ruscheweyh derivative. Moreover, the coefficient estimates including a Fekete-Szegö inequality of this class were determined.

Cited by 2 publications

References 17 publications

Coefficient Inequality for Certain New Subclasses of Sakaguchi Type Function Related to Sigmoid Functions

Coefficient Inequality for Certain New Subclasses of Sakaguchi Type Function Related to Sigmoid Functions

Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin

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