Properties of a Class of -Harmonic Functions | Zendy

Elif Yaşar | Zendy; Sibel Yalçın | Zendy

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Properties of a Class of -Harmonic Functions

Author(s) -

Elif Yaşar,

Sibel Yalçın

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/968627

Subject(s) - mathematics , extreme point , harmonic function , differentiable function , class (philosophy) , harmonic , domain (mathematical analysis) , regular polygon , mathematical analysis , operator (biology) , differential operator , distortion (music) , subharmonic function , convex function , function (biology) , integer (computer science) , effective domain , pure mathematics , convex combination , convex optimization , combinatorics , geometry , electronic engineering , engineering , cmos , repressor , artificial intelligence , amplifier , chemistry , computer science , biology , biochemistry , quantum mechanics , evolutionary biology , transcription factor , programming language , physics , gene

A times continuously differentiable complex-valued function in a domain is -harmonic if satisfies the -harmonic equation , where is a positive integer. By using the generalized Salagean differential operator, we introduce aclass of -harmonic functions and investigate necessary and sufficientcoefficient conditions, distortion bounds, extreme points, and convexcombination of the class

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