Results 31 to 40 of about 28,953 (166)
Certain Coefficient Bounds for p-Valent Functions
In the present paper, the authors obtain sharp bounds for certain subclasses of p-valent functions. The results are extended to functions defined by convolution.
C. Ramachandran +2 more
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Background Polysaccharide pneumococcal vaccine is recommended for use in HIV-infected adults in Brazil but there is uncertainty about its effectiveness in this patient population. The main objective of this study was to assess the effectiveness of the 23-
Veras Maria +3 more
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CERTAIN CLASSES OF p-VALENT ANALYTIC FUNCTIONS
Using the notions of subordination and Ruscheweyh derivatives, the authors define new classes of \(p\)-valent functions analytic in the unit disk. The authors succeed in generalizing classes considered before by introducing six parameters. They prove results on inclusions, integral operators, Taylor coefficients and Hadamard products for such functions.
Patel, J., Acharya, M.
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Subclasses of meromorphically p-valent functions [PDF]
The aim of this paper is to investigate various inclusion relations and some other properties of a certain sub-classes Σγ,pm(α) of meromorphically p-valent analytic functions with positive coefficients, which are defined here by means of a linear operator.
Nasser Alkasbi, Maslina Darus
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Bounds for the Second Hankel Determinant of Certain Univalent Functions
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See +2 more
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On certain classes of meromorphically p-valent starlike and p-valent quasi-convex functions
By making use of a familiar analogue of the generalized hypergeometric function, we introduce and investigate some inclusion properties of certain class of meromorphically p-valent starlike functions of order $\lambda \ $ and certain class of meromorphically p-valent quasi-convex functions of order $\lambda $.
Janusz Sokol, Jacek Dziok, M. K. Aouf
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Notes on certain p-valent functions [PDF]
Abstract Let Ap be the class of functions f(z) which are analytic in the open unit disk U. Applying some subordinations for functions, some interesting properties for f(z) ∈Ap are showed. Our results are generalizations for results given before.
Mugur Acu, Shigeyoshi Owa
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Notes on p-valently Bazilević functions
Let \({\mathcal A}_ p\) be the family of functions f of the form \(f(z)=z^ p+a_{p+1}z^{p+1}+...\), (p\(\in \{1,2,...\})\), that are analytic in the unit disc \(\Delta =\{z:| z| \beta,\quad z\in \Delta \}, \] \[ {\mathcal C}_ p(\alpha,\beta)=\{f\in {\mathcal A}_ p:\;Re J(f(z);\alpha)0\), \(0\leq -\beta /\alpha \leq 1/2\) (or \(f\in {\mathcal C}_ p ...
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A note on a class of $p$-valent starlike functions of order beta [PDF]
In this paper we obtain sharp coefficient bounds for certain $p$-valent starlike functions of order $\beta$, $0\le ...
Lal Sharma, Navneet, Swadesh Sahoo
core
Examples of Non-Rigid CAT(0) Groups from the Category of Knot Groups
C Croke and B Kleiner have constructed an example of a CAT(0) group with more than one visual boundary. J Wilson has proven that this same group has uncountably many distinct boundaries.
Alexander +3 more
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