Results 101 to 110 of about 9,723 (251)
Convex and starlike functions [PDF]
Colloquium Mathematicum, 1986 The authors exploit some results due to \textit{St. Ruscheweyh} and \textit{T. Sheil-Small} [Comment. Math. Helv. 48, 119-135 (1973; Zbl 0261.30015)] to obtain theorems which relate convex and starlike univalent functions of order \(\frac12\) with their partial sums.
Sunder Singh, Ram Babu Singh
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Inclusion Properties for Classes of p‐Valent Functions
Journal of Function Spaces, Volume 2024, Issue 1, 2024.Making use of a differential operator, which is defined here by means of the Hadamard product, we introduce classes of p‐valent functions and investigate various important inclusion properties and characteristics for these classes. Also, a property preserving integrals is considered.
B. M. Munasser +5 more
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Some properties of analytic functions related with Booth lemniscate
Acta Universitatis Sapientiae: Mathematica, 2018 The object of the present paper is to study of two certain subclass of analytic functions related with Booth lemniscate which we denote by ℬ𝒮 (α) and ℬ𝒦 (α). Some properties of these subclasses areconsidered.
Najmadi P., Najafzadeh Sh., Ebadian A.
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σ(n) to introduce a normalized linear operator JRα,βz.
Jamal Salah, Bao Q. Li
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ON NORMALIZED RABOTNOV FUNCTION ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS
Проблемы анализа, 2023 In this paper, we investigate some sufficient conditions for the normalized Rabotnov function to be in certain subclasses of analytic and univalent functions. The usefulness of the results is depicted by some corollaries and examples.
S. Sumer Eker, B. ¸Seker, S. Ece
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Inclusion and Neighborhood on a Multivalent q‐Symmetric Function with Poisson Distribution Operators
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q‐symmetric starlike and q‐symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q‐analogue Salagean integral operator, the p‐valent convergence polynomial was introduced. Furthermore, a
Ebrahim Amini +3 more
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On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, we employ a q‐Noor integral operator to perform a q‐analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q‐fractional integral operator and apply the inspired ...
Mojtaba Fardi +3 more
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International Journal of Mathematics and Mathematical Sciences, 1982 In this paper, a new coefficient result for the Bazileviĉ functions of type β is obtained.
K. Inayat Noor
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Coefficient Bounds for q‐Noshiro Starlike Functions in Conic Region
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We present and examine a new family of analytic functions that can be described by a q‐Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness.
V. Malathi, K. Vijaya, H. Ozlem Guney
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The radius of convexity of certain analytic functions II
International Journal of Mathematics and Mathematical Sciences, 1980 In [2], MacGregor found the radius of convexity of the functions f(z)=z+a2z2+a3z3+…, analytic and univalent such that |f′(z)−1|
J. S. Ratti
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