Majorization problems for certain subclasses of meromorphic multivalent functions associated with the Liu-Srivastava operator

Tang, Huo; Aouf, K Mohamed; Deng, Guantie

doi:10.2298/fil1504763t

Cited by 16 publications

(12 citation statements)

References 26 publications

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“…Numerous articles have been published in which this idea was used. The work of Altintas and Srivastava [5], Cho et al [6], Goswami and Aouf [7], Goyal and Goswami [8,9], Li et al [10], Panigraht and El-Ashwah [11], Prajapat and Aouf [12], and the authors [13,14] are worth mentioning on this topic.…”

Section: Introductionmentioning

confidence: 99%

Majorization Results for Certain Subfamilies of Analytic Functions

Arif

Ul-Haq

Barukab

et al. 2021

Journal of Function Spaces

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Let h 1 z and h 2 z be two nonvanishing holomorphic functions in the open unit disc with h 1 0 = h 2 0 = 1 . For some holomorphic function q z , we consider the class consisting of normalized holomorphic functions f whose ratios f z / z q z and q z are subordinate to h 1 z and h 2 z , respectively. The majorization results are obtained for this class when h 1 z is chosen either h 1 z = cos z or h 1 z = 1 + sin z or h 1 z = 1 + z and h 2 z = 1 + sin z .

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Section: Introductionmentioning

confidence: 99%

Majorization Results for Certain Subfamilies of Analytic Functions

Arif

Ul-Haq

Barukab

et al. 2021

Journal of Function Spaces

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“…Recently, several authors have investigated majorization issues for the families of meromorphic and multivalent meromorphic or univalent and multivalent functions including various linear and nonlinear operators, which all are subordinated by the similar function ϑ(z) = (1 + Cz)/(1 + Dz) (for example, see [14][15][16][17][18][19][20]). Lately, Tang et al [21] studied majorization problem for the subclasses of S * (ϑ), which are relevant to S * (1 + sin z) and S * (cos z), regardless of any linear or nonlinear operators.…”

Section: Theorem 1 ([4] Theorem 1 A)mentioning

confidence: 99%

Majorization and Coefficient Problems for a General Class of Starlike Functions

et al. 2020

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In the current paper, we study a majorization issue for a general category S * ( ϑ ) of starlike functions, the region of which is often symmetric with respect to the real axis. For various special symmetric functions ϑ , corresponding consequences of the main result are also presented with some relevant connections of the outcomes rendered here with those obtained in recent research. Moreover, coefficient bounds for some majorized functions are estimated.

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“…A majorization problem for the normalized class of starlike functions has been investigated by MacGregor [ 22 ] and Altintas et al [ 1 ] (see also [ 2 ]). Recently, many researchers have studied several majorization problems for univalent and multivalent functions or meromorphic and multivalent meromorphic functions, which are all subordinate to certain function ( ), involving various different operators; the interested reader can, for example, see [ 13 – 15 , 18 , 26 , 27 , 30 , 31 , 33 ]. However, we note that there is no article dealing with the above-mentioned problems for functions which are subordinate to .…”

Section: Introduction and Definitionsmentioning

confidence: 99%