1,720,972 research outputs found
A subclass of harmonic meromorphic functions
Get PDFComplex-valued harmonic meromorphic functions that are univalent and orientation preserving outside the unit circle Ũ can be written in the form f = h + g, where h and g are analytic in Ũ. We define and investigate a subclass of harmonic meromorphic functions. We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions and convex combinations for the above subclass of harmonic meromorphic functions
Harmonic functions which are starlike of order β with respect to other points
Get PDFLet H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of order β(0 ≤ β < 1), with respect to other points. We obtain growth result, extreme points, convolution and convex combinations for the above harmonic functions
Properties of harmonic functions which are convex of order β with respect to conjugate points
Get PDFLet H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions convex of order β (0 ≤ β < 1), with respect to conjugate points. We obtain coefficient conditions, growth result, extreme points, convolution and convex combinations for the above harmonic functions
Properties of harmonic functions which are starlike of complex order with repect to symmetric points
Get PDFLet H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of complex order with respect to symmetric points. The authors obtain extreme points, convolution and convex combination properties
A Subclass of Quasi-Convex Functions with Respect to Symmetric Points
Get PDFAbstract Let C s (A, B) denote the class of functions f which are analytic in an open unit disc D = {z : |z| < 1} and satisfying the condition 2(zf (z)
Harmonic Functions which are Starlike of Complex Order with Repect to Symmetric Points
Get PDFLet H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of complex order with respect to symmetric points. The authors obtain extreme points, convolution and convex combination properties
APPLICATIONS OF CERTAIN FUNCTIONS ASSOCIATED WITH LEMNISCATE BERNOULLI
No full textlooked PDF abstractDOI : http://dx.doi.org/10.22342/jims.18.2.115.93-99</jats:p
Class with negative coefficients and convex with respect to symmetric points
Get PDFLet C_s T(A,B) denote the class of functions f(z)=z-∑_(n=2)^∞ a_n z^n which are analytic in an open unit disc D={z:|z|<1} and satisfying the condition (2(zf^' (z))^')/((f(z)-f(-z))^' )≺(1+Az)/(1+Bz),-1≤B<A≤1,z∈D. The aims of paper are to determine coefficient estimates and distortion bounds for the class C_s T(A,B)
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