Results 21 to 30 of about 63 (62)
, 2019 The purpose of the present paper is to study the integral operator of the form ∫z0{Inμf(t)t}δdt where $f$ belongs to the subclass $C(n,\alpha,\beta, \mu)$ and $\delta$ is a real number.
SINGH, Surya Pratap, PORWAL, Saurabh
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Convex functions and the rolling circle criterion
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 799-811, 1995., 1993 Given 0 ≤ R1 ≤ R2 ≤ ∞, CVG(R1, R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2. Necessary and sufficient conditions for R1 = R2, growth and distortion theorems for CVG(R1, R2) and rotation theorem for the class of convex functions of bounded ...
V. Srinivas, O. P. Juneja, G. P. Kapoor
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Quasiconformal harmonic mappings and close-to-convex domains
, 2010 Let f = h + ? be a univalent sense preserving harmonic mapping of the unit disk U onto a convex domain ?. It is proved that: for every a such that |a| < 1 (resp. |a| = 1) the mapping ?a = h + a?
David Kalaj
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On polynomial expansion of multivalent functions
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 443-446, 1991., 1991 Coefficient bounds for mean p‐valent functions, whose expansion in an ellipse has a Jacobi polynomial series, are given in this paper.
M. M. Elhosh
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Some Distortion Theorems for Starlike Harmonic Functions [PDF]
, 2010 MSC 2010: 30C55, 30C45Distortion and growth theorems are ...
Yavuz Duman, Emel
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The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
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Sufficient conditions for spiral‐likeness
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 641-644, 1989., 1989 Coefflcient conditions sufficient for splral‐likenss are found by convolution methods. The order of starlikeness for such functions is also determined.
H. Silverman
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On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam +2 more
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Some classes of alpha‐quasi‐convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 497-501, 1988., 1986 Let C[C, D], −1 ≤ D < C ≤ 1 denote the class of functions g, g(0) = 0, g′(0) = 1, analytic in the unit disk E such that is subordinate to , z ∈ E. We investigate some classes of Alpha‐Quasi‐Convex Functions f, with f(0) = f′(0) − 1 = 0 for which there exists a g ∈ C[C, D] such that is subordinate to , −1 ≤ B < A ≤ 1.
Khalida Inayat Noor
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Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani +3 more
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