Results 31 to 40 of about 1,664 (262)
Third-order differential subordination and superordination involving a fractional operator
Open Mathematics, 2015 The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Ibrahim Rabha W. +2 more
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Journal of Inequalities and Applications, 2019 Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functions associated with generalized fractional
Hanaa M. Zayed, Teodor Bulboacă
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Differential Subordinations Associated with Multiplier Transformations [PDF]
Abstract and Applied Analysis, 2008 The authors introduce new classes of analytic functions in the open unit disc which are defined by using multiplier transformations. The properties of these classes will be studied by using techniques involving the Briot‐Bouquet differential subordinations. Also an integral transform is established.
Cătaş, Adriana +2 more
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Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations
Mathematics, 2021 The fractional integral of confluent hypergeometric function is used in this paper for obtaining new applications using concepts from the theory of fuzzy differential subordination and superordination.
Alina Alb Lupaş
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Mathematics, 2022 The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
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Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali +4 more
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New fuzzy differential subordinations
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 Summary: In this paper, some new fuzzy differential subordinations obtained by using the integral operator \(I^m_{\gamma} : A_n \rightarrow A_n\) introduced in [the author et al., J. Comput. Anal. Appl. 19, No. 5, 904--910 (2015; Zbl 1320.30032)] are obtained.
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Differential Subordinations Involving Generalized Bessel Functions [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2014 In this paper our aim is to present some subordination and superordination results, by using an operator, which involves the normalized form of the generalized Bessel functions of first kind. These results are obtained by investigating some appropriate classes of admissible functions.
DENİZ, ERHAN +3 more
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Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator
Mathematics, 2023 The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory.
Ekram Elsayed Ali +3 more
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Applications of differential subordination
Applied Mathematics Letters, 2006 In this paper the authors use the techniques of differential subordinations in the complex plane and that of convolution, to introduce certain subclasses of analytic functions on the unit disk. In particular, they obtain various subclasses of analytic functions that have been previously investigated by Padmanabhan and Parvatham; Padmanabhan and Manjini,
Özkan, Öznur, Altıntaş, Osman
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