The Sharp Bound of the Fifth Coefficient of Strongly Starlike Functions with Real Coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0688-8
Abstract: In this paper, we found the sharp bound of the fifth coefficient of strongly starlike functions of order $$\alpha $$α with real coefficients for all $$\alpha \in (0,1]$$α∈(0,1]. read more here.
Keywords: sharp bound; starlike functions; fifth coefficient; coefficient strongly ... See more keywords
Radius Problems for Starlike Functions Associated with the Sine Function
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0127-5
Abstract: Let $${\mathcal {S}}^*_s$$Ss∗ be the class of normalized analytic functions f defined on the unit disk such that the quantity $$zf'(z)/f(z)$$zf′(z)/f(z) lies in an eight-shaped region in the right-half plane, which is the image of… read more here.
Keywords: starlike functions; class; problems starlike; functions associated ... See more keywords
Majorization Results for Subclasses of Starlike Functions Based on the Sine and Cosine Functions
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00262-y
Abstract: The object of this paper was to study two majorization results for the subclasses $$S^*_{s}$$ S s ∗ and $$S^*_{c}$$ S c ∗ of starlike functions, which are, respectively, associated with the sine and cosine… read more here.
Keywords: sine cosine; cosine functions; majorization results; starlike functions ... See more keywords
Starlike functions associated with a lune
Sign Up to like & getrecommendations! Published in 2017 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557117500644
Abstract: Several subclasses of starlike functions are associated with regions in the right half plane of the complex plane, like half-plane, disks, sectors, parabolas and lemniscate of Bernoulli. For a normalized analytic function f defined on… read more here.
Keywords: starlike functions; associated lune; functions associated; plane ... See more keywords
Coefficient functionals and radius problems of certain starlike functions
Sign Up to like & getrecommendations! Published in 2021 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557122500899
Abstract: Ma–Minda class (of starlike functions) consists of normalized analytic functions [Formula: see text] defined on the unit disk for which the image of the function [Formula: see text] is contained in some starlike region lying… read more here.
Keywords: certain starlike; starlike functions; coefficient functionals; problems certain ... See more keywords
New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
Sign Up to like & getrecommendations! Published in 2018 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0166
Abstract: Abstract The main object of the present paper is to investigate a number of useful properties such as sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikness and radius of convexity for a new subclass… read more here.
Keywords: multivalent starlike; meromorphic multivalent; differential operator; starlike functions ... See more keywords
Some coefficient properties relating to a certain class of starlike functions
Sign Up to like & getrecommendations! Published in 2017 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2017.1729
Abstract: This paper considers the problem of determining coefficients in a class of normalized starlike functions f analytic in the open unit disk j ́j< 1 satisfying the inequality that ˇ̌̌̌ ˇ ́f . ́/ f… read more here.
Keywords: starlike functions; class; relating certain; properties relating ... See more keywords
On coefficients of some p-valent starlike functions
Sign Up to like & getrecommendations! Published in 2019 at "Filomat"
DOI: 10.2298/fil1908277n
Abstract: We consider the class Ap of functions f analytic in the unit disk |z| < 1 in the complex plane, of the form f(z) = zp + ... such that Rezf(p)(z)/f (p-1)(z) > 0 in… read more here.
Keywords: starlike functions; coefficients valent; unit; valent starlike ... See more keywords
Connecting quantum calculus and harmonic starlike functions
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2005431a
Abstract: Quantum calculus or q−calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others. But role of q−calculus in the theory of harmonic univalent functions… read more here.
Keywords: calculus; calculus harmonic; quantum calculus; starlike functions ... See more keywords
Coefficient Inequalities for Multivalent Janowski Type q-Starlike Functions Involving Certain Conic Domains
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100494
Abstract: In the current work, by using the familiar q-calculus, first, we study certain generalized conic-type regions. We then introduce and study a subclass of the multivalent q-starlike functions that map the open unit disk into… read more here.
Keywords: multivalent janowski; inequalities multivalent; coefficient inequalities; starlike functions ... See more keywords
Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11092017
Abstract: In this study, by using the concepts of subordination, we define a new family RM,N,λ,γ of starlike functions of complex order γ connected with the cardioid domain. The main contribution of this article consists of… read more here.
Keywords: starlike functions; complex order; functions complex; cardioid domain ... See more keywords