Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination

Andaikan C satah kompleks, U = {z E C : Izl < I} cakera unit terbuka dalam C dan H(U) kelas fungsi analisis dalam U. Andaikan juga A kelas fungsi analisis 1 dalam U yang ternormalkan dengan 1(0) = 0 dan 1'(0) = 1. Fungsi 1 E A mempunyai siri Taylor berbentuk 00 l(z) = z + L anzn, (z E U...

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Main Author:	Supramaniam, Shamani
Format:	Thesis
Language:	English
Published:	2009
Subjects:	QA1 Mathematics (General)
Online Access:	http://eprints.usm.my/31162/ http://eprints.usm.my/31162/1/SHAMANI_A.P_SUPRAMANIAM.pdf

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author	Supramaniam, Shamani
author_facet	Supramaniam, Shamani
author_sort	Supramaniam, Shamani
building	USM Institutional Repository
collection	Online Access
description	Andaikan C satah kompleks, U = {z E C : Izl < I} cakera unit terbuka dalam C dan H(U) kelas fungsi analisis dalam U. Andaikan juga A kelas fungsi analisis 1 dalam U yang ternormalkan dengan 1(0) = 0 dan 1'(0) = 1. Fungsi 1 E A mempunyai siri Taylor berbentuk 00 l(z) = z + L anzn, (z E U). n=2 Andaikan Ap (p EN) kelas fungsi analisis 1 berbentuk 00 1(z) = zP + L anzn, (z E U) n=p+1 dengan A := AI. Pertimbangkan dua fungsi dalam Ap. Hasil darab Hadamard (atau konvolusi) untuk 1 dan 9 ialah fungsi 1 * 9 berbentuk 00 (J * g)(z) = zP + L anbnzn. n=p+1 Let C be the complex plane and U := {z E C : Izl < I} be the open unit disk in C and H(U) be the class of analytic functions defined in U. Also let A denote the class of all functions I analytic in the open unit disk U := {z E C : Izl < I}, and normalized by 1(0) = 0, and 1'(0) = 1. A function I E A has the Taylor series expansion of the form 00 I(z) = z + ~ (LnZn (z E U). n=2 Let Ap (p EN) be the class of all analytic functions of the form 00 fez) = zP + ~ (LnZn n=p+l with A:= AI. Consider two functions in Ap. The Hadamard product (or convolution) of I and 9 is the function I * 9 defined by 00 (J * g)(z) = zP + ~ anbnzn . "=p+l
first_indexed	2025-11-15T17:00:27Z
format	Thesis
id	usm-31162
institution	Universiti Sains Malaysia
institution_category	Local University
language	English
last_indexed	2025-11-15T17:00:27Z
publishDate	2009
recordtype	eprints
repository_type	Digital Repository
spelling	usm-311622016-11-21T08:06:39Z http://eprints.usm.my/31162/ Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination Supramaniam, Shamani QA1 Mathematics (General) Andaikan C satah kompleks, U = {z E C : Izl < I} cakera unit terbuka dalam C dan H(U) kelas fungsi analisis dalam U. Andaikan juga A kelas fungsi analisis 1 dalam U yang ternormalkan dengan 1(0) = 0 dan 1'(0) = 1. Fungsi 1 E A mempunyai siri Taylor berbentuk 00 l(z) = z + L anzn, (z E U). n=2 Andaikan Ap (p EN) kelas fungsi analisis 1 berbentuk 00 1(z) = zP + L anzn, (z E U) n=p+1 dengan A := AI. Pertimbangkan dua fungsi dalam Ap. Hasil darab Hadamard (atau konvolusi) untuk 1 dan 9 ialah fungsi 1 * 9 berbentuk 00 (J * g)(z) = zP + L anbnzn. n=p+1 Let C be the complex plane and U := {z E C : Izl < I} be the open unit disk in C and H(U) be the class of analytic functions defined in U. Also let A denote the class of all functions I analytic in the open unit disk U := {z E C : Izl < I}, and normalized by 1(0) = 0, and 1'(0) = 1. A function I E A has the Taylor series expansion of the form 00 I(z) = z + ~ (LnZn (z E U). n=2 Let Ap (p EN) be the class of all analytic functions of the form 00 fez) = zP + ~ (LnZn n=p+l with A:= AI. Consider two functions in Ap. The Hadamard product (or convolution) of I and 9 is the function I * 9 defined by 00 (J * g)(z) = zP + ~ anbnzn . "=p+l 2009-07 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/31162/1/SHAMANI_A.P_SUPRAMANIAM.pdf Supramaniam, Shamani (2009) Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination. Masters thesis, Universiti Sains Malaysia.
spellingShingle	QA1 Mathematics (General) Supramaniam, Shamani Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination
title	Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination
title_full	Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination
title_fullStr	Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination
title_full_unstemmed	Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination
title_short	Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination
title_sort	convolution and coefficient problems for multivalent functions defined by subordination
topic	QA1 Mathematics (General)
url	http://eprints.usm.my/31162/ http://eprints.usm.my/31162/1/SHAMANI_A.P_SUPRAMANIAM.pdf

Convolution And Coefficient Problems For Multivalent Functions Defined By Subordination

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