Properties of a Class of -Harmonic Functions
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 a class of -harmonic functions and investigate necessary and sufficient c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/968627 |
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| _version_ | 1832558251478089728 |
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| author | Elif Yaşar Sibel Yalçın |
| author_facet | Elif Yaşar Sibel Yalçın |
| author_sort | Elif Yaşar |
| collection | DOAJ |
| description | 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 a
class of -harmonic functions and investigate necessary and sufficient
coefficient conditions, distortion bounds, extreme points, and convex
combination of the class. |
| format | Article |
| id | doaj-art-792bf3e979e34169a68fc5b0f68bc017 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-792bf3e979e34169a68fc5b0f68bc0172025-02-03T01:32:51ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/968627968627Properties of a Class of -Harmonic FunctionsElif Yaşar0Sibel Yalçın1Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, TurkeyA 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 a class of -harmonic functions and investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points, and convex combination of the class.http://dx.doi.org/10.1155/2013/968627 |
| spellingShingle | Elif Yaşar Sibel Yalçın Properties of a Class of -Harmonic Functions Abstract and Applied Analysis |
| title | Properties of a Class of -Harmonic Functions |
| title_full | Properties of a Class of -Harmonic Functions |
| title_fullStr | Properties of a Class of -Harmonic Functions |
| title_full_unstemmed | Properties of a Class of -Harmonic Functions |
| title_short | Properties of a Class of -Harmonic Functions |
| title_sort | properties of a class of harmonic functions |
| url | http://dx.doi.org/10.1155/2013/968627 |
| work_keys_str_mv | AT elifyasar propertiesofaclassofharmonicfunctions AT sibelyalcın propertiesofaclassofharmonicfunctions |