Harmonic Functions
ON STARLIKE HARMONIC FUNCTIONS
... univalent functions introduced by Goodman and we de- velop this idea over harmonic ...of harmonic univalent functions which are fully starlike and uniformly starlike ...
8
Harmonic functions with varying coefficients
... Complex-valued harmonic functions that are univalent and sense preserving in the open unit disk can be written in the form f = h + g, where h and g are ...univalent harmonic functions with ...
12
A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant
... Our main aim in this paper is to obtain a new type of boundary integral behaviors of harmonic functions in a smooth cone.. This article is distributed under the terms of the Creative Com[r] ...
9
Joint Harmonic Functions and Their Supervised Connections
... Harmonic functions and supervised local estimators each use two types of information that de- scribe relationships between the boundary states (labeled) and the interior states ...cases. Harmonic ...
32
Growth property at infinity of harmonic functions
... This paper gives the growth property of certain harmonic functions at infinity in an n-dimensional cone, which generalize the results obtained by Huang and Qiao (Abstr. Appl. Anal. 2012:203096, 2012), Xu et ...
9
Fourier coefficients and growth of harmonic functions
... n monic functions in R 3 In [16] the growth of entire harmonic functions in R is expressed in terms of n in terms of the maximum value attained by the the function’s coefficients, and in[r] ...
10
Slow Growth for Universal Harmonic Functions
... lim sup x → ∞ |Hx|/x k < ∞ for any k ∈ N, since this would force H to be a polynomial. This is why we can only consider transcendental growths for universal harmonic functions. Let us recall that the ...
6
ON A CRITERION FOR MULTIVALENT HARMONIC FUNCTIONS
... normalized harmonic functions f(z) = h(z) + g(z) in the open unit disk, a criterion on the analytic part h(z) for f(z) to be p-valent and sense-preserving is ...
6
A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions
... valued harmonic functions associated with Wright hypergeometric functions which are orientation preserving and univalent in the open unit ...on harmonic function and investigate the ...
7
Birth of Theory of Harmonic Functions
... univalent functions in which f(z) is normalized with f(0)=0 and f '(0) 1 is already widely ...of functions that maps onto a starshaped domain with respect to the origin and another important subclass of ...
5
A Subclass of Harmonic Functions Associated with a Convolution Structure
... J.M.Jahangiri, Chan Kim Young and H.Srivastava, Construction of a certain class of harmonic close to convex functions associated with the Alexander integral transform, Integral Transfo[r] ...
10
On Meromorphic Harmonic Functions with Respect to Symmetric Points
... valued harmonic function in a domain D ⊂ C if both u and v are real harmonic in ...investigated functions harmonic in the exterior of the unit disk U {z : |z| > ...valued, harmonic, ...
11
Subclass of Multivalent Harmonic Functions with Missing Coefficients
... In this paper, we obtain sufficient coefficient bounds for functions in the class Rm, β, γ . These sufficient coefficient conditions are shown to be also necessary for functions in the class T m, β, γ. Basic ...
11
On Harmonic Functions Defined by Derivative Operator
... A continuous function f u iv is a complex-valued harmonic function in a complex domain C if both u and v are real harmonic in C. In any simply connected domain D ⊂ C, we can write f h g, where h and g are ...
10
Superstability of approximate d'Alembert harmonic functions
... for all x Î R. Putting x: = -x in (14) and then combining the equalities, we see that f is odd and so f(x) = 0 for all x Î R. This is a contradiction. Therefore, |f(0)| > 0. Hence, f satisfies also the d’Alembert ...
7
Hyperholomorphic functions and hyper conjugate harmonic functions of octonion variables
... The octonions in Clifford algebra are a normed division algebra with eight dimensions over the real numbers larger than the quaternions. The octonions are non-commutative and non-associative but satisfy a weaker form of ...
8
Dirichlet problems of harmonic functions
... In this paper, a solution of the Dirichlet problem in the upper half-plane is constructed by the generalized Dirichlet integral with a fast growing continuous boundary function.. MSC: 31[r] ...
5
An approximation property of simple harmonic functions
... In Section of this paper, we apply the power series method to prove the Hyers-Ulam stability of the simple harmonic oscillator equation y x + ω yx = ... This paper is an extension an[r] ...
9
Certain convex harmonic functions
... be harmonic in Ᏸ if both u and v are real harmonic in Ᏸ ...the functions U and V analytic in Ᏸ so that u = U and v = V ...the harmonic function f can be expressed ...
7
On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
... A continuous function f uiv is a complex-valued harmonic function in a complex domain C if both u and v are real harmonic in C. In any simply connected domain D ⊆ C, we can write f h g, where h and g are ...
9