Differential Subordinations for Analytic Functions

Raza, Mohsan; Sokół, Janusz; Mushtaq, Saima

doi:10.1007/s40995-017-0430-7

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Introduction2

Considering the Function φ(1

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2019

2024

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Article7

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Cited by 11 publications

(3 citation statements)

References 13 publications

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“…Similar type results have been investigated by various authors. For example, the articles contributed by Kumar et al [12,13], Paprocki et al [14], Raza et al [15] and Shi et al [16].…”

Section: Considering the Function φ(mentioning

confidence: 99%

Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Khan,

Gong

et al. 2023

Symmetry

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“…Similar type results have been investigated by various authors. For example, the articles contributed by Kumar et al [12,13], Paprocki et al [14], Raza et al [15] and Shi et al [16].…”

Section: Considering the Function φ(mentioning

confidence: 99%

Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Khan,

Gong

et al. 2023

Symmetry

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“…Comparative sort suggestions have been examined in a portion of the new papers by various analysts, for instance see the papers contributed by Halim and Omar [6] Haq et al [7], Kumar et. al [13,15] Paprocki and Sokol [18], Raza et al [20] and Sharma et al [22].…”

Section: Introduction and Definationsmentioning

confidence: 99%

On Analytic Multivalent Function Associated with Cosine Hyperbolic Function

Ali¹

2021

Preprint

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In this article, we set up some adequate conditions for analytic functions associated with cosine hyperbolic function. We determine conditions on α such that 1+α (ϰ^(2+P(j-1) ) g^' (ϰ))/(Pg^j (ϰ)),for each j=0,1,2,3 are subordinated by Janowski function, then (g(ϰ))/ϰ^P <cosℏ⁡(ϰ),(ϰ∈C). By choosing specific values of functions g we get some adequate conditions for multivalent starlike function related with cosine hyperbolic.

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“…Similar kind of differential subordinations are also discussed by various authors. They used these results to find sufficient conditions for starlike functions, see [31][32][33][34][35][36]. Motivated by the above work, we introduce and investigate some q-differential subordinations.…”

Section: Introductionmentioning

confidence: 99%

q-Analogue of Differential Subordinations

Ul-Haq¹,

Raza²,

Arif³

et al. 2019

Mathematics

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In this article, we study differential subordnations in q-analogue. Some properties of analytic functions in q-analogue associated with cardioid domain and limacon domain are considered. In particular, we determine conditions on α such that 1 + α z ∂ q h z h z n ( n = 0 , 1 , 2 , 3 ) are subordinated by Janowski functions and h z ≺ 1 + 4 3 z + 2 3 z 2 . We also consider the same implications such that h z ≺ 1 + 2 z + 1 2 z 2 . We apply these results on analytic functions to find sufficient conditions for q-starlikeness related with cardioid and limacon.

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Differential Subordinations for Analytic Functions

Cited by 11 publications

References 13 publications

Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

Applications of First-Order Differential Subordination for Subfamilies of Analytic Functions Related to Symmetric Image Domains

On Analytic Multivalent Function Associated with Cosine Hyperbolic Function

q-Analogue of Differential Subordinations

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