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The Multivalent Indicator and Conjugate Diagrams of an Entire Function of Order ρ ≠ 1. Application to the Solution of Algebraic Equations
We give a survey of recent advances in the growth theory of entire functions associated with Pólya’s theorem on the indicator and conjugate diagrams...
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Integral Operators Preserving Subordination and Superordination for Multivalent Functions
We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on multivalent functions. The...
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Marx–Strohhäcker theorem for multivalent functions
Some differential implications of classical Marx–Strohhäcker theorem are extended for multivalent functions. These results are also generalized for...
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Coefficient Bounds for Multivalent Classes of Starlike and Convex Functions Defined by Higher-Order Derivatives and Complex Order
We establish coefficient bounds for functions from the subclasses of p -valent starlike and p -valent convex functions defined by higher-order...
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Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions
In the present investigation, with the help of certain higher-order q -derivatives, some new subclasses of multivalent q -starlike functions which are...
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A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator
Kee** in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new...
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A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions
In the present paper, by using the concept of convolution and q -calculus, we define a certain q -derivative (or q -difference) operator for analytic...
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Difference formula defined by a new differential symmetric operator for a class of meromorphically multivalent functions
Symmetric operators have benefited in different fields not only in mathematics but also in other sciences. They appeared in the studies of boundary...
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Study of the Analytic Function Related to the Le-Roy-Type Mittag-Leffler Function
We study some geometric properties (such as univalence, starlikeness, convexity, and close-to-convexity) of Le-Roy-type Mittag-Leffler function. In...
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On One Approach to the Study of the Periodic Problem for Random Differential Equations
AbstractGeometric and topological methods of analysis applied to problems of nonlinear oscillations of dynamical systems go back to the names of...
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Generalized Schur Functions as Multivalent Functions
The multivalency approach to generalized Nevanlinna functions established in Wietsma (Indag Math 29:997–1008, 2018) is here extended to the related...
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q–differ-integral operator on p–valent functions associated with operator on Hilbert space
Making use of multivalent functions with negative coefficients of the type f ( z ) = z p − ∑
k = p +1 ∞ a k z k , which are analytic in the open unit disk and... -
Differential subordination applications to a class of meromorphic multivalent functions associated with Mittag-Leffler function
In this paper, using the principal of differential subordination, we obtain some properties of certain class of p -valent meromorphic functions, which...
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Some subclasses of p-valent \(\gamma \)-uniformly type q-starlike and q-convex functions defined by using a certain generalized q-Bernardi integral operator
In this article, we introduce and investigate a generalized q -Bernardi integral operator (or ( p , q )-Bernardi integral operator) for analytic and p -val...
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Teichmüller space theory and classical problems of geometric function theory
Recently the author has presented a new approach to solving the coefficient problems for holomorphic functions based on the deep features of...
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On Multivalent Guiding Functions Method in the Periodic Problem for Random Differential Equations
By applying the random topological degree theory we develop the methods of random multivalent guiding functions and use them for the study of...