A Class of Multivalent Harmonic Functions Involving a Salagean Operator

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Dr. Noohi Khan
Dr. Noohi Khan
α Amity School of applied sciences / Amity University Lucknow ,Malhore UP

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A Class of Multivalent Harmonic Functions Involving a Salagean Operator

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Abstract

Introduction-A continuous complex valued function f=u+iv defined in a simply connected complex domain D is said to be harmonic in D if both u and v are real harmonic in D. Let F and G be analytic in D so that F(0)=G(0)=0, ReF = Ref=u, ReG = Imf=v by writing (F+iG)/2 = h, (F-iG)/2 = g, The function f admits the representation f = h + g , where h and g are analytic in D. h is called the analytic part of f and g, the co-analytic part of f.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Noohi Khan. 2015. \u201cA Class of Multivalent Harmonic Functions Involving a Salagean Operator\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F2): .

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Issue Cover
GJSFR Volume 15 Issue F2
Pg. 81- 86
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 30F15
Version of record

v1.2

Issue date

March 7, 2015

Language
en
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Introduction-A continuous complex valued function f=u+iv defined in a simply connected complex domain D is said to be harmonic in D if both u and v are real harmonic in D. Let F and G be analytic in D so that F(0)=G(0)=0, ReF = Ref=u, ReG = Imf=v by writing (F+iG)/2 = h, (F-iG)/2 = g, The function f admits the representation f = h + g , where h and g are analytic in D. h is called the analytic part of f and g, the co-analytic part of f.

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A Class of Multivalent Harmonic Functions Involving a Salagean Operator

Dr. Noohi Khan
Dr. Noohi Khan Amity School of applied sciences / Amity University Lucknow ,Malhore UP

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