On a geometric study of a class of normalized functions defined by Bernoulli’s formula
Abstract The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some solutions are indicated by the well-known hypergeometric function. The class of star...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03622-3 |
| _version_ | 1818402312878555136 |
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| author | Rabha W. Ibrahim Ibtisam Aldawish Dumitru Baleanu |
| author_facet | Rabha W. Ibrahim Ibtisam Aldawish Dumitru Baleanu |
| author_sort | Rabha W. Ibrahim |
| collection | DOAJ |
| description | Abstract The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some solutions are indicated by the well-known hypergeometric function. The class of starlike functions is investigated containing the suggested class. |
| first_indexed | 2024-12-14T08:06:22Z |
| format | Article |
| id | doaj.art-c01ed46ed1b74759aeaee0599b77c9b2 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T08:06:22Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-c01ed46ed1b74759aeaee0599b77c9b22022-12-21T23:10:11ZengSpringerOpenAdvances in Difference Equations1687-18472021-10-012021111210.1186/s13662-021-03622-3On a geometric study of a class of normalized functions defined by Bernoulli’s formulaRabha W. Ibrahim0Ibtisam Aldawish1Dumitru Baleanu2IEEE: 94086547Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University)Department of Mathematics, Cankaya UniversityAbstract The central purpose of this effort is to investigate analytic and geometric properties of a class of normalized analytic functions in the open unit disk involving Bernoulli’s formula. As a consequence, some solutions are indicated by the well-known hypergeometric function. The class of starlike functions is investigated containing the suggested class.https://doi.org/10.1186/s13662-021-03622-3Univalent functionAnalytic functionSubordination and superordinationOpen unit diskDifference-differential operatorSpecial function |
| spellingShingle | Rabha W. Ibrahim Ibtisam Aldawish Dumitru Baleanu On a geometric study of a class of normalized functions defined by Bernoulli’s formula Advances in Difference Equations Univalent function Analytic function Subordination and superordination Open unit disk Difference-differential operator Special function |
| title | On a geometric study of a class of normalized functions defined by Bernoulli’s formula |
| title_full | On a geometric study of a class of normalized functions defined by Bernoulli’s formula |
| title_fullStr | On a geometric study of a class of normalized functions defined by Bernoulli’s formula |
| title_full_unstemmed | On a geometric study of a class of normalized functions defined by Bernoulli’s formula |
| title_short | On a geometric study of a class of normalized functions defined by Bernoulli’s formula |
| title_sort | on a geometric study of a class of normalized functions defined by bernoulli s formula |
| topic | Univalent function Analytic function Subordination and superordination Open unit disk Difference-differential operator Special function |
| url | https://doi.org/10.1186/s13662-021-03622-3 |
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