Coefficient estimates for certain subclasses of starlike functions of complex order associated with hyperbolic domain

Karthikeyan, K. R.; Murugusundaramoorthy, G.; Nistor-Serban, Andreea-Elena

doi:10.31926/but.mif.2020.13.62.2.17

Search citation statements

Order By: Relevance

Paper Sections

Select...

Lemma 3 ([20] Theorem VII1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hence, the hypothesis of the theorem is true for k = 2. Following the steps as in [22] (Theorem 2), we can obtain the desired result using mathematical induction.…”

Section: Lemma 3 ([20] Theorem VIImentioning

confidence: 99%

Multivalent Prestarlike Functions with Respect to Symmetric Points

2021

View full text Add to dashboard Cite

A class of p-valent functions of complex order is defined with the primary motive of unifying the concept of prestarlike functions with various other classes of multivalent functions. Interesting properties such as inclusion relations, integral representation, coefficient estimates and the solution to the Fekete–Szegő problem are obtained for the defined function class. Further, we extended the results using quantum calculus. Several consequences of our main results are pointed out.

show abstract

“…Hence, the hypothesis of the theorem is true for k = 2. Following the steps as in [22] (Theorem 2), we can obtain the desired result using mathematical induction.…”

Section: Lemma 3 ([20] Theorem VIImentioning

confidence: 99%

Multivalent Prestarlike Functions with Respect to Symmetric Points

2021

View full text Add to dashboard Cite

show abstract

“…Remark 3. Several well-known classes can be seen as special cases of the class P S t λ (α, β; γ; ψ; h; A, B) defined above (see also [9][10][11]). Now, we highlight only the recent works which are associated with a conic region:…”

Section: Introductionmentioning

confidence: 99%

Properties of λ-Pseudo-Starlike Functions of Complex Order Defined by Subordination

Karthikeyan

Murugusundaramoorthy

Bulboacă

2021

Axioms

View full text Add to dashboard Cite

In this paper, we defined a new class of λ-pseudo-Bazilevič functions of complex order using subordination. Various classes of analytic functions that map unit discs onto a conic domain and some classes of special functions were studied in dual. Some subordination results, inequalities for the initial Taylor–Maclaurin coefficients and the unified solution of the Fekete–Szego problem for subclasses of analytic functions related to various conic regions, are our main results. Our main results have many applications which are presented in the form of corollaries.

show abstract