Yazar "Murugusundaramoorthy, Gangadharan" seçeneğine göre listele

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    Applications of Noor type Differential Operator on Multivalent Functions
    (Palestine Polytechnic University, 2024) Sakar, F. Müge; Hussain, Saqib; Naeem, Muhammad; Khan, Shahid; Murugusundaramoorthy, Gangadharan; Shareef, Zahid
    In current study, we use the definition of convolution (or Hadamard product) and consider the Noor type differential operator to define a new class Ωp (λ, α; Ψ) of multivalent functions in open unit disk. We also give some interesting applications of this operator for multivalent functions by using the method of convolution and derive some useful results. © Palestine Polytechnic University-PPU 2024.
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    Initial coefficient bounds for subclasses of bi-univalent functions associated with the Chebyshev polynomials
    (Jangjeon Mathematical Society, 2018) Güney, Hatun Özlem; Murugusundaramoorthy, Gangadharan; Vijaya, Kaliappan
    In this paper, we introduce and investigate new subclasses of bi-univalent functions defined in the open unit disk, involving special functions associated with Chebyshev Polynomials. Furthermore, we find estimates of first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we give Fekete-Szegö inequalities for these function classes. Several consequences of the results are also pointed.
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    On ?-pseudo bi-starlike functions related with Fibonacci numbers
    (Episciences, 2024) Vijaya, Kaliyappan; Murugusundaramoorthy, Gangadharan; Güney, Hatun Özlem
    In this paper we define a new subclass λ-bi-pseudo-starlike functions of Σ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients |a2| and |a3| for f. Further we determine the Fekete-Szegö result for the function class and for special cases, corollaries are stated which some of them are new and have not been studied so far.
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    The Second Hankel Determinant for a Certain Class of Bi-Close-to-Convex Functions
    (Springer Basel Ag, 2019) Guney, Hatun Ozlem; Murugusundaramoorthy, Gangadharan; Srivastava, Hari Mohan
    In this paper, we investigate the upper bound associated with the second Hankel determinant H-2(2) for a certain class of bi-close-to-convex functions which we have introduced here. Several closely related results are also considered.
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    Spiral-like functions associated with Miller-Ross-type Poisson distribution series
    (Springer Int Publ Ag, 2023) Eker, Sevtap Sumer; Murugusundaramoorthy, Gangadharan; Seker, Bilal; Cekic, Bilal
    The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to class of spiral-like univalent functions.
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    Starlike Functions of the Miller-Ross-Type Poisson Distribution in the Janowski Domain
    (Mdpi, 2024) Murugusundaramoorthy, Gangadharan; Gueney, Hatun oezlem; Breaz, Daniel
    In this paper, considering the various important applications of Miller-Ross functions in the fields of applied sciences, we introduced a new class of analytic functions f, utilizing the concept of Miller-Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of f, coefficient inequalities for f-1 and the Fekete-Szego problem. We also covered some key geometric properties for functions f in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings.
  • Küçük Resim
    Öğe
    Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers
    (Sciendo, 2018) Güney, Özlem Hatun; Murugusundaramoorthy, Gangadharan; Sokół, Janusz
    In this paper, we introduce and investigate new subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions in these classes. Also, we determine Fekete-Szegö inequalities for these function classes.