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Certain strong differential superordinations using a generalized Sălăagean operator and Ruscheweyh operator.

Authors :
Lupaş, Alina Alb
Source :
Journal of Applied Functional Analysis; Jan2012, Vol. 7 Issue 1/2, p62-68, 7p
Publication Year :
2012

Abstract

In the present paper we establish several strong differential superordinations regardind the new operator DR Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. defined by convolution product of the extended generalized Sălăagean operator and Ruscheweyh derivative, DR Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. : 효 Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. → 효 Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. DR Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. (z, ζ ) = (D Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.* R<superscript>m</superscript> f (z; ζ) ; where R<superscript>m</superscript> f(z, ζ) denote the extended Ruscheweyh derivative, D Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. f(z, ζ) is the extended generalized Sălăgean operator and 효 Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.<subscript>ζ</subscript> = {f ∈ 횮(U x Ū), f(z, ζ) = z + a<subscript>n+1</subscript> (ζ) z <superscript>n+1</superscript> +…, z ∈ U, ζ, ∈ Ū}, with 효 Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.ζ = 효 Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed., is the class of normalized analytic functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15591948
Volume :
7
Issue :
1/2
Database :
Supplemental Index
Journal :
Journal of Applied Functional Analysis
Publication Type :
Academic Journal
Accession number :
70840789