[PDF] Top 20 Coefficient Bounds for Certain Classes of Meromorphic Functions

... Sivasubramanian, “A coefficient inequality for certain classes of analytic functions of complex order,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Karunakaran, “On a cl[r] ... See full document

... of certain classes of meromorphic functions associated with a family of linear operators, which are defined by means of the Hadamard product or ...the classes presented ... See full document

... A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial ...a meromorphic ... See full document

... of functions which are multivalently meromorphic starlike of order α and multivalently meromorphic convex of order α in D , where 0 ≤ α < p (p ∈ N ... See full document

... for functions in bounded positive class K(𝛼, ...several coefficient problems including Fekete-Szeg¨o problems for functions in the ...the bounds of initial coefficients of inverse ... See full document

... 4) Lee S. K. and Johi S. B. Application of fractional calculus operators to a class of univalent functions with negative coefficients, Kyungpook Math. J., 39 (1999), 133-139. 5) Noor K. I., Some classes of ... See full document

... new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product or ...coefficients bounds, growth and distortion theorems, radii of starlikeness ... See full document

... AOUF Department of Mathematics, Faculty of Science University of Mansoura Mansoura, Egypt.. Department of Mathematics, Faculty of Science University of Qatar P.O.[r] ... See full document

... 11. Aini Janteng, Suzeini Abdul Halim and Maslina Darus, Hankel determinant for functions starlike and convex with respect to symmetric points, J. Quality Measurement and Anal., 2(1) (2006), 37-43. 12. J.W. Noonan ... See full document

... In particular, if the function g is univalent in Δ , the above subordination is equivalent to f (0) = g(0), f ( Δ ) ⊂ g( Δ ). (1.8) Let φ(z) be an analytic function with positive real part on Δ with φ(0) = 1, φ (0) > ... See full document

...    (1) analytic in the open unit disc U and normalized by f   0  0 and f    0  1 . Also, we denote S to be the class of functions in A containing univalent function of the form (1). According to Duren ... See full document

... coeffcient bounds for functions in certain subclasses of analytic functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler type ... See full document

... [14] A. Schild, H. Silverman, Convolution of univalent functions with negative coefficients, Ann. Univ. Mariae Curie-Sklodowska Sect A 29(1975) 99-107. [15] H. M. Srivastava, H. M. Mossen, M. K. Aouf, A unified ... See full document

... A function f ∈ A given by (1.1), is said to be bi-univalent in ∆ if both f (z) and f −1 (z) are univalent in ∆, these classes are denoted by Σ. Earlier, Brannan and Taha [2] introduced certain subclasses of ... See full document

... who indeed referred to numerous earlier investigations involving functions whose derivative has a positive real part.. To prove our main result, we need the following lemmas.[r] ... See full document

... upper bounds on initial coefficients of inverse of a function defined by inte- gration of Carath´ eodory ...upper bounds on Fekete-Szeg¨ o functional and third Hankel determinant of such ... See full document

... defined in the unit disk D := {z ∈ C : |z| < 1} is denoted by A and its subclass contain- ing univalent functions is denoted by S. Among the many subclasses of S the classes of starlike and convex ... See full document

... starlike functions ᏿ ∗ (β) of order β (0 β < 1), and convex functions ᏷ (β) of order β (0 β < ...the functions φ(z) and ψ(z) according to ... See full document

... The bounds obtained are used to derive the distortion theorems, the covering theorems and the radii of convexity for the classes of regular or meromorphic starlike functions associated w[r] ... See full document

... General classes of analytic functions defined by convolution with a fixed analytic function are ...these classes which include the classical classes of starlike, convex, close-to-convex, and ... See full document