Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators
oleh: Luminiţa-Ioana Cotîrlă, Abdul Rahman S. Juma
Format: | Article |
---|---|
Diterbitkan: | MDPI AG 2023-02-01 |
Deskripsi
Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mo>=</mo><mfenced close="]" open="["><mrow><mi>w</mi><mo>:</mo><mfenced close="|" open="|"><mi>w</mi></mfenced><mo><</mo><mn>1</mn><mo> </mo><mi>and</mi><mo> </mo><mi>w</mi><mo>∈</mo><mo>₵</mo></mrow></mfenced></mrow></semantics></math></inline-formula>, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts.